A typology and literature review on stochastic multi-echelon inventory models

European Journal of Operational Research

Volumn 269, Issue 3, 2018, Pages 955-983

  de Kok, Ton ^a   Grob, Christopher ^b   Laumanns, Marco ^c   Minner, Stefan ^d   Rambau, Jörg ^e   Schade, Konrad ^b  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b VOLKSWAGEN AG   (Germany)

^c IBM RESEARCH ZURICH   (Switzerland)

^d TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^e UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

Demand uncertainty; Inventory; Multi echelon; Supply chain management; Typology

Indexed keywords

STOCHASTIC MODELS; STOCHASTIC SYSTEMS; SUPPLY CHAIN MANAGEMENT;

DEMAND UNCERTAINTY; INVENTORY; LITERATURE REVIEWS; MODEL ASSUMPTIONS; MULTI-ECHELON INVENTORY; MULTIECHELON; TYPOLOGY; UNCERTAIN DEMAND;

INVENTORY CONTROL;

EID: 85044103363     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2018.02.047     Document Type: Article

References (419)

1. Abouee-Mehrizi, H., Baron, O., Berman, O., Exact analysis of capacitated two-echelon inventory systems with priorities. Manufacturing & Service Operations Management 16:4 (2014), 561–577.
2. Aggarwal, P.K., Moinzadeh, K., Order expedition in multi-echelon production/distribution systems. IIE Transactions 26:2 (1994), 86–96.
3. Agrawal, N., Cohen, M.A., Optimal material control in an assembly system with component commonality. Naval Research Logistics 48:5 (2001), 409–429.
4. Akçay, Y., Xu, S.H., Joint inventory replenishment and component allocation optimization in an assemble-to-order system. Management Science 50:1 (2004), 99–116.
5. Al-Rifai, M.H., Rossetti, M.D., Sheikhzadeh, A., A heuristic optimisation algorithm for two-echelon (R,Q) inventory systems with non-identical retailers. International Journal of Inventory Research 3:2 (2016), 166–193.
6. Albrecht, M., Determining near optimal base-stock levels in two-stage general inventory systems. European Journal of Operational Research 232:2 (2014), 342–349.
7. Albright, S.C., Gupta, A., Steady-state approximation of a multiechelon multi-indentured repairable-item inventory system with a single repair facility. Naval Research Logistics 40:4 (1993), 479–493.
8. Alfredsson, P., Optimization of multi-echelon repairable item inventory systems with simultaneous location of repair facilities. European Journal of Operational Research 99:3 (1997), 584–595.
9. Alfredsson, P., Verrijdt, J.H.C.M., Modeling emergency supply flexibility in a two-echelon inventory system. Management Science 45:10 (1999), 1416–1431.
10. Alvarez, E., van der Heijden, M., On two-echelon inventory systems with poisson demand and lost sales. European Journal of Operational Research 235:1 (2014), 334–338.
11. Alvarez, E., van der Heijden, M.C., Vliegen, I.M.H., Zijm, W.H.M., Service differentiation through selective lateral transshipments. European Journal of Operational Research 237:3 (2014), 824–835.
12. Alvarez, E., van der Heijden, M.C., Zijm, W.H.M., Service differentiation in spare parts supply through dedicated stocks. Annals of Operations Research 231:1 (2015), 283–303.
13. Andersson, J., Axsäter, S., Marklund, J., Decentralized multiechelon inventory control. Production and Operations Management 7:4 (1998), 370–386.
14. Andersson, J., Marklund, J., Decentralized inventory control in a two-level distribution system. European Journal of Operational Research 127:3 (2000), 483–506.
15. Andersson, J., Melchiors, P., A two-echelon inventory model with lost sales. International Journal of Production Economics 69:3 (2001), 307–315.
16. Angelus, A., Ózer, o., Knowledge you can act on: optimal policies for assembly systems with expediting and advance demand information. Operations Research 64:6 (2016), 1338–1371.
17. Axsäter, S., Modelling emergency lateral transshipments in inventory systems. Management Science 36:11 (1990), 1329–1338.
18. Axsäter, S., Simple solution procedures for a class of two-echelon inventory problems. Operations Research 38:1 (1990), 64–69.
19. Axsäter, S., Exact and approximate evaluation of batch-ordering policies for two-level inventory systems. Operations Research 41:4 (1993), 777–785.
20. Axsäter, S., Optimization of order-up-to-s policies in two-echelon inventory systems with periodic review. Naval Research Logistics 40:2 (1993), 245–253.
21. Axsäter, S., Approximate evaluation of batch-ordering policies for a one-warehouse, N non-identical retailer system under compound poisson demand. Naval Research Logistics 42:5 (1995), 807–819.
22. Axsäter, S., On deficiencies of common ordering policies for multi-level inventory control. OR Spektrum 19:2 (1997), 109–110.
23. Axsäter, S., Simple evaluation of echelon stock (R,Q) policies for two-level inventory systems. IIE Transactions 29:8 (1997), 661–669.
24. Axsäter, S., Evaluation of installation stock based (R,Q)-policies for two-level inventory systems with Poisson demand. Operations Research 46:3 (1998), 135–145.
25. Axsäter, S., Exact analysis of continuous review (R,Q) policies in two-echelon inventory systems with compound poisson demand. Operations Research 48:5 (2000), 686–696.
26. Axsäter, S., A framework for decentralized multi-echelon inventory control. IIE Transactions 33:2 (2001), 91–97.
27. Axsäter, S., Scaling down multi-echelon inventory problems. International Journal of Production Economics 71:1–3 (2001), 255–261.
28. Axsäter, S., Approximate optimization of a two-level distribution inventory system. International Journal of Production Economics 81-82 (2003), 545–553.
29. Axsäter, S., Note: Optimal policies for serial inventory systems under fill rate constraints. Managament Science 49:2 (2003), 247–253.
30. Axsäter, S., Planning order releases for an assembly system with random operation times. OR Spectrum 27:2–3 (2005), 459–470.
31. Axsäter, S., A simple decision rule for decentralized two-echelon inventory control. International Journal of Production Economics 93-94 (2005), 53–59.
32. Axsäter, S., On the first come–first served rule in multi-echelon inventory control. Naval Research Logistics 54:5 (2007), 485–491.
33. Axsäter, S., Forsberg, R., Zhang, W.-F., Approximating general multi-echelon inventory systems by Poisson models. International Journal of Production Economics 35:1 (1994), 201–206.
34. Axsäter, S., Juntti, L., Comparison of echelon stock and installation stock policies for two-level inventory systems. International Journal of Production Economics 45:1 (1996), 303–310.
35. Axsäter, S., Kleijn, M., de Kok, A.G., Stock rationing in a continuous review two-echelon inventory model. Annals of Operations Research 126:1–4 (2004), 177–194.
36. Axsäter, S., Marklund, J., Optimal position–based warehouse ordering in divergent two-echelon inventory systems. Operations Research 56:4 (2008), 976–991.
37. Axsäter, S., Marklund, J., Silver, E.A., Heuristic methods for centralized control of one-warehouse, N-retailer inventory systems. Manufacturing & Service Operations Management 4:1 (2002), 75–97.
38. Axsäter, S., Olsson, F., Tydesjö P., Heuristics for handling direct upstream demand in two-echelon distribution inventory systems. International Journal of Production Economics 108:1–2 (2007), 266–270.
39. Axsäter, S., Rosling, K., Notes: Installation vs. echelon stock policies for multilevel inventory control. Management Science 39:10 (1993), 1274–1280.
40. Axsäter, S., Rosling, K., Multi-level production-inventory control: Material requirements planning or reorder point policies?. European Journal of Operational Research 75:2 (1994), 405–412.
41. Axsäter, S., Rosling, K., Ranking of generalised multi-stage KANBAN policies. European Journal of Operational Research 113:3 (1999), 560–567.
42. Axsäter, S., Zhang, W.-F., Recursive evaluation of order-up-to-S policies for two-echelon inventory systems with compound poisson demand. Naval Research Logistics 43:1 (1996), 151–157.
43. Axsäter, S., Zhang, W.-F., A joint replenishment policy for multi-echelon inventory control. International Journal of Production Economics 59:1 (1999), 243–250.
44. Badinelli, R.D., A model for continuous-review pull policies in serial inventory systems. Operations Research 40:1 (1992), 142–156.
45. Badinelli, R.D., Schwarz, L.B., Backorders optimization in a one-warehouse n-identical retailer distribution system. Naval Research Logistics 35:5 (1988), 427–440.
46. Banerjee, A., Burton, J., Banerjee, S., A simulation study of lateral shipments in single supplier, multiple buyers supply chain networks. International Journal of Production Economics 81-82 (2003), 103–114.
47. Banerjee, S., Banerjee, A., Burton, J., Bistline, W., Controlled partial shipments in two-echelon supply chain networks: A simulation study. International Journal of Production Economics 71:1 (2001), 91–100.
48. Basten, R.J., van der Heijden, M.C., Schutten, J.M.J., Kutanoglu, E., An approximate approach for the joint problem of level of repair analysis and spare parts stocking. Annals of Operations Research 224:1 (2015), 121–145.
49. Benjaafar, S., ElHafsi, M., Production and inventory control of a single product assemble-to-order system with multiple customer classes. Management Science 52:12 (2006), 1896–1912.
50. Benjaafar, S., ElHafsi, M., Lee, C.-Y., Zhou, W., Optimal control of an assembly system with multiple stages and multiple demand classes. Operations Research 59:2 (2011), 522–529.
51. Berling, P., Martńez-de Albéniz, V., A characterization of optimal base-stock levels for a multistage serial supply chain. Naval Research Logistics (NRL) 63:1 (2016), 32–46.
52. Berling, P., Martńez-de Albéniz, V., Dynamic speed optimization in supply chains with stochastic demand. Transportation Science 50:3 (2016), 1114–1127.
53. Berling, P., Farvid, M., Lead-time investigation and estimation in divergent supply chains. International Journal of Production Economics 157 (2014), 177–189.
54. Berling, P., Marklund, J., Heuristic coordination of decentralized inventory systems using induced backorder costs. Production and Operations Management 15:2 (2006), 294–310.
55. Berling, P., Marklund, J., A model for heuristic coordination of real life distribution inventory systems with lumpy demand. European Journal of Operational Research 230:3 (2013), 515–526.
56. Berling, P., Marklund, J., Multi-echelon inventory control: an adjusted normal demand model for implementation in practice. International Journal of Production Research 52:11 (2014), 3331–3347.
57. Bertazzi, L., Bosco, A., Laganà D., Min–max exact and heuristic policies for a two-echelon supply chain with inventory and transportation procurement decisions. Transportation Research Part E: Logistics and Transportation Review 93 (2016), 57–70.
58. Billington, C., Callioni, G., Crane, B., Ruark, J.D., Unruh Rapp, J., White, T., Willems, S.P., Accelerating the profitability of Hewlett-Packard's supply chains. Interfaces 34:1 (2004), 59–72.
59. Bollapragada, R., Kuppusamy, S., Rao, U.S., Component procurement and end product assembly in an uncertain supply and demand environment. International Journal of Production Research 53:3 (2015), 969–982.
60. Bollapragada, S., Akella, R., Srinivasan, R., Centralized ordering and allocation policies in a two-echelon system with non-identical warehouses. European Journal of Operational Research 106:1 (1998), 74–81.
61. Bossert, J.M., Willems, S.P., A periodic-review modeling approach for guaranteed service supply chains. Interfaces 37:5 (2007), 420–435.
62. Boulaksil, Y., Safety stock placement in supply chains with demand forecast updates. Operations Research Perspectives 3 (2016), 27–31.
63. Braun, M., Rivera, D., Flores, M., Carlyle, W., Kempf, K.G., A model predictive control framework for robust management of multi-product, multi-echelon demand networks. Annual Reviews in Control 27:2 (2003), 229–245.
64. Burton, J., Banerjee, A., Cost-parametric analysis of lateral transshipment policies in two-echelon supply chains. International Journal of Production Economics 93-94 (2005), 169–178.
65. Buyukkurt, M., Parlar, M., A comparison of allocation policies in a two-echelon repairable-item inventory model. International Journal of Production Economics 29:3 (1993), 291–302.
66. Cachon, G.P., Managing supply chain demand variability with scheduled ordering policies. Management Science 45:6 (1999), 843–856.
67. Cachon, G.P., Exact evaluation of batch-ordering inventory policies in two-echelon supply chains with periodic review. Operations Research 49:1 (2001), 79–98.
68. Cachon, G.P., Fisher, M., Campbell soup's continuous replenishment program: evaluation and enhanced inventory decision rules. Production and Operations Management 6:3 (1997), 266–276.
69. Cachon, G.P., Fisher, M., Supply chain inventory management and the value of shared information. Management Science 46:8 (2000), 1032–1048.
70. Cachon, G.P., Zipkin, P.H., Competitive and cooperative inventory policies in a two-stage supply chain. Management Science 45:7 (1999), 936–953.
71. Caggiano, K.E., Jackson, P.L., Muckstadt, J.A., Rappold, J.A., Optimizing service parts inventory in a multiechelon, multi-item supply chain with time-based customer service-level agreements. Operations Research 55:2 (2007), 303–318.
72. Caggiano, K.E., Muckstadt, J.A., Rappold, J.A., Integrated real-time capacity and inventory allocation for reparable service parts in a two-echelon supply system. Manufacturing & Service Operations Management 8:3 (2006), 292–319.
73. Cao, D.-b., Silver, E.A., A dynamic allocation heuristic for centralized safety stock. Naval Research Logistics 52:6 (2005), 513–526.
74. Ceryan, O., Duenyas, I., Koren, Y., Optimal control of an assembly system with demand for the end-product and intermediate components. IIE Transactions 44:5 (2012), 386–403.
75. Chao, X., Zhou, S.X., Probabilistic solution and bounds for serial inventory systems with discounted and average costs. Naval Research Logistics 54:6 (2007), 623–631.
76. Chao, X., Zhou, S.X., Optimal policy for a multiechelon inventory system with batch ordering and fixed replenishment intervals. Operations Research 57:2 (2009), 377–390.
77. Chen, F., Echelon reorder points, installation reorder points, and the value of centralized demand information. Management Science 44:12 (1998), 221–234.
78. Chen, F., 94%-effective policies for a two-stage serial inventory system with stochastic demand. Management Science 45:12 (1999), 1679–1696.
79. Chen, F., Decentralized supply chains subject to information delays. Management Science 45:8 (1999), 1076–1090.
80. Chen, F., Optimal policies for multi-echelon inventory problems with batch ordering. Operations Research 48:3 (2000), 376–389.
81. Chen, F., Drezner, Z., Ryan, J.K., Simchi-Levi, D., Quantifying the bullwhip effect in a simple supply chain: The impact of forecasting, lead times, and information. Management Science 46:3 (2000), 436–443.
82. Chen, F., Samroengraja, R., A staggered ordering policy for one-warehouse, multiretailer systems. Operations Research 48:2 (2000), 281–293.
83. Chen, F., Song, J.-S., Optimal policies for multiechelon inventory problems with Markov-modulated demand. Operations Research 49:2 (2001), 226–234.
84. Chen, F., Zheng, Y.-S., Evaluating echelon stock (R,nQ) policies in serial production/inventory systems with stochastic demand. Management Science 40:10 (1994), 1262–1275.
85. Chen, F., Zheng, Y.-S., Lower bounds for multi-echelon stochastic inventory systems. Management Science 40:11 (1994), 1426–1443.
86. Chen, F., Zheng, Y.-S., One-warehouse multiretailer systems with centralized stock information. Operations Research 45:2 (1997), 275–287.
87. Chen, F., Zheng, Y.-S., Near-optimal echelon-stock(R,nQ) policies in multistage serial systems. Operations Research 46:4 (1998), 592–602.
88. Chen, F.Y., Feng, Y., Simchi-Levi, D., Uniform distribution of inventory positions in two-echelon periodic review systems with batch-ordering policies and interdependent demands. European Journal of Operational Research 140:3 (2002), 648–654.
89. Chen, H., Li, P., Optimization of (R, Q) policies for serial inventory systems using the guaranteed service approach. Computers & Industrial Engineering 80 (2015), 261–273.
90. Chen, L., Song, J.-S., Zhang, Y., Serial inventory systems with Markov-modulated demand: Derivative bounds, asymptotic analysis, and insights. Operations Research 65:5 (2017), 1231–1249.
91. Chen, S., & Muharremoglu, A. (2014). Optimal policies for assembly systems: Completing Rosling's characterization. Working paper SSRN 2475218.
92. Chen, S.-P., Cheng, B.-H., Optimal echelon stock policies for multi-stage supply chains in fuzzy environments. International Journal of Production Research 52:11 (2014), 3431–3449.
93. Cheng, F., Ettl, M., Lin, G., Yao, D.D., Inventory-service optimization in configure-to-order systems. Manufacturing & Service Operations Management 4:2 (2002), 114–132.
94. Cheng, T.C.E., Gao, C., Shen, H., Production planning and inventory allocation of a single-product assemble-to-order system with failure-prone machines. International Journal of Production Economics 131:2 (2011), 604–617.
95. Cheung, K.L., Hausman, W.H., An exact performance evaluation for the supplier in a two-echelon inventory system. Operations Research 48:4 (2000), 646–653.
96. Cheung, K.L., Lee, H.L., The inventory benefit of shipment coordination and stock rebalancing in a supply chain. Management Science 48:2 (2002), 300–306.
97. Chew, E.P., Johnson, L.A., Service levels in distribution systems with random customer order size. Naval Research Logistics 42:1 (1995), 39–56.
98. Chew, E.P., Tang, L.C., Warehouse-retailer system with stochastic demands – non-identical retailer case. European Journal of Operational Research 82:1 (1995), 98–110.
99. Chiang, W.-y., Monahan, G.E., Managing inventories in a two-echelon dual-channel supply chain. European Journal of Operational Research 162:2 (2005), 325–341.
100. Clark, A.J., Scarf, H., Optimal policies for a multi-echelon inventory problem. Management Science 6:4 (1960), 475–490.
101. Clark, A.J., Scarf, H., Approximate solutions to a simple multi-echelon inventory problem. Applied Probability and Management Science 23 (1962), 88–110.
102. Cobb, B.R., Lead time uncertainty and supply chain coordination in lost sales inventory models. International Journal of Inventory Research 3:1 (2016), 5–30.
103. Cohen, M., Kamesam, P.V., Kleindorfer, P., Lee, H.L., Tekerian, A., Optimizer: IBM's multi-echelon inventory system for managing service logistics. Interfaces 20:1 (1990), 65–82.
104. Cohen, M.A., Kleindorfer, P.R., Lee, H.L., Optimal stocking policies for low usage items in multi-echelon inventory systems. Naval Research Logistics Quarterly 33:1 (1986), 17–38.
105. Cohen, M.A., Lee, H.L., Strategic analysis of integrated production-distribution systems: models and methods. Operations Research 36:2 (1988), 216–228.
106. Dada, M., A two-echelon inventory system with priority shipments. Management Science 38:8 (1992), 1140–1153.
107. Dayanik, S., Song, J.-S., Xu, S.H., The effectiveness of several performance bounds for capacitated production, partial-order-service, assemble-to-order systems. Manufacturing & Service Operations Management 5:3 (2003), 230–251.
108. de Bodt, M.A., Graves, S.C., Continuous-review policies for a multi-echelon inventory problem with stochastic demand. Management Science 31:10 (1985), 1286–1299.
109. de Kok, A.G., Hierarchical production planning for consumer goods. European Journal of Operational Research 45:1 (1990), 55–69.
110. de Kok, A.G., Janssen, F., van Doremalen, J., van Wachem, E., Clerkx, M., Peeters, W., Philips electronics synchronizes its supply chain to end the bullwhip effect. Interfaces 35:1 (2005), 37–48.
111. de Kok, A.G., Visschers, J.W.C.H., Analysis of assembly systems with service level constraints. International Journal of Production Economics 59:1 (1999), 313–326.
112. DeCroix, G.A., Optimal policy for a multiechelon inventory system with remanufacturing. Operations Research 54:3 (2006), 532–543.
113. DeCroix, G.A., Song, J.-S., Zipkin, P.H., Managing an assemble-to-order system with returns. Manufacturing & Service Operations Management 11:1 (2009), 144–159.
114. DeCroix, G.A., Zipkin, P.H., Inventory management for an assembly system with product or component returns. Management Science 51:8 (2005), 1250–1265.
115. Dekker, R., Kleijn, M.J., de Kok, A.G., The break quantity rule's effect on inventory costs in a 1-warehouse, N-retailers distribution system. International Journal of Production Economics 56-57 (1998), 61–68.
116. Demirel, S., Duenyas, I., Kapuscinski, R., Production and inventory control for a make-to-stock/calibrate-to-order system with dedicated and shared resources. Operations Research 63:4 (2015), 823–839.
117. Deuermeyer, B.L., Schwarz, L.B., A model for the analysis of system service level in warehouse-retailer distribution systems: The identical retailer case. Schwarz, L.B., (eds.) Multi-level production/inventory control systems: Theory and practice TIMS Studies in the Management Sciences, 16, 1981, North-Holland, 163–193.
118. Diaz, A., Fu, M.C., Models for multi-echelon repairable item inventory systems with limited repair capacity. European Journal of Operational Research 97:3 (1997), 480–492.
119. Diks, E.B., de Kok, A.G., Controlling a divergent 2-echelon network with transshipments using the consistent appropriate share rationing policy. International Journal of Production Economics 45:1 (1996), 369–379.
120. Diks, E.B., de Kok, A.G., Optimal control of a divergent multi-echelon inventory system. European Journal of Operational Research 111:1 (1998), 75–97.
121. Diks, E.B., de Kok, A.G., Computational results for the control of a divergent N-echelon inventory system. International Journal of Production Economics 59:1 (1999), 327–336.
122. Doğru, M., Reiman, M.I., Wang, Q., Assemble-to-order inventory management via stochastic programming: Chained bOMs and the M-system. Production and Operations Management 26:3 (2017), 446–468.
123. Doğru, M.K., Özen, U., Tactical inventory planning at Alcatel–Lucent's repair and exchange services. Interfaces 45:3 (2015), 228–242.
124. Doğru, M.K., de Kok, A.G., van Houtum, G., A numerical study on the effect of balance assumption in one-warehouse multi-retailer inventory systems. Flexible Service and Manufacturing Journal 21 (2009), 114–147.
125. Dong, L., Lee, H.L., Optimal policies and approximations for a serial multiechelon inventory system with time-correlated demand. Operations Research 51:6 (2003), 969–980.
126. Doğru, M., Reiman, M.I., Wang, Q., Stochastic programming based inventory control policy for assemble-to-order systems with application to the w-model. Operations Research 58:4-part-1 (2010), 849–864.
127. Egri, P., Safety stock placement in non-cooperative supply chains. Frommberger, L., Schill, K., Scholz-Reiter, B., (eds.) Proceedings of the AILog workshop on Artificial intelligence and logistics, 2012, 31–36.
128. Ekanayake, N., Joshi, N., Thekdi, S.A., Comparison of single-echelon vs. multi-echelon inventory systems using multi-objective stochastic modelling. International Journal of Logistics Systems and Management 23:2 (2016), 255–280.
129. ElHafsi, M., Optimal integrated production and inventory control of an assemble-to-order system with multiple non-unitary demand classes. European Journal of Operational Research 194:1 (2009), 127–142.
130. ElHafsi, M., Camus, H., Craye, E., Optimal control of a nested-multiple-product assemble-to-order system. International Journal of Production Research 46:19 (2008), 5367–5392.
131. ElHafsi, M., Hamouda, E., Managing an assemble-to-order system with after sales market for components. European Journal of Operational Research 242:3 (2015), 828–841.
132. ElHafsi, M., Zhi, L., Camus, H., Craye, E., An assemble-to-order system with product and components demand with lost sales. International Journal of Production Research 53:3 (2015), 718–735.
133. Eppen, G., Schrage, L., Centralized ordering policies in a multi-warehouse system with lead times and random demand. Schwarz, L.B., (eds.) Multi-level production/inventory control systems: Theory and practice TIMS Studies in the Management Sciences, 16, 1981, North-Holland, Amsterdam, 51–67.
134. Erkip, N., Hausman, W.H., Nahmias, S., Optimal centralized ordering policies in multi-echelon inventory systems with correlated demands. Management Science 36:3 (1990), 381–392.
135. Ernst, R., Pyke, D.F., Component part stocking policies. Naval Research Logistics 39:4 (1992), 509–529.
136. Eruguz, A.S., Jemai, Z., Sahin, E., Dallery, Y., Cycle-service-level in guaranteed-service supply chains. Proceedings of the fifth international conference on modeling, simulation and applied optimization, 2013, 2013, IEEE, 1–6.
137. Eruguz, A.S., Jemai, Z., Sahin, E., Dallery, Y., Optimising reorder intervals and order-up-to levels in guaranteed service supply chains. International Journal of Production Research 52:1 (2014), 149–164.
138. Ettl, M., Feigin, G.E., Lin, G.Y., Yao, D.D., A supply network model with base-stock control and service requirements. Operations Research 48:2 (2000), 216–232.
139. Farasyn, I., Humair, S., Kahn, J.I., Neale, J.J., Rosen, O., Ruark, J., et al. Inventory optimization at Procter & Gamble: Achieving real benefits through user adoption of inventory tools. Interfaces 41:1 (2011), 66–78.
140. Fattahi, M., Mahootchi, M., Moattar Husseini, S.M., Keyvanshokooh, E., Alborzi, F., Investigating replenishment policies for centralised and decentralised supply chains using stochastic programming approach. International Journal of Production Research 53:1 (2015), 41–69.
141. Federgruen, A., Zipkin, P., Allocation policies and cost approximations for multilocation inventory systems. Naval Research Logistics Quarterly 31:1 (1984), 97–129.
142. Federgruen, A., Zipkin, P., Approximation of dynamic, multi-location production and inventory problems. Management Science 30:1 (1984), 69–84.
143. Federgruen, A., Zipkin, P., Computational issues in an infinite-horizon, multiechelon inventory model. Operations Research 32:4 (1984), 818–836.
144. Feigin, G.E., Inventory planning in large assembly supply chains. Tayur, S., Ganeshan, R., Magazine, M., (eds.) Quantitative models for supply chain management, 1999, Springer, 761–787.
145. Feng, J., Liu, L., Wan, Y.-w., Irreducibility of joint inventory positions in an assemble-to-order system under (R, nQ) policies. Naval Research Logistics 59:1 (2012), 18–25.
146. Feng, K., Rao, U.S., Echelon-stock (R, nT) control in two-stage serial stochastic inventory systems. Operations Research Letters 35:1 (2007), 95–104.
147. Feng, T., Zhang, F., The impact of modular assembly on supply chain efficiency. Production and Operations Management 23:11 (2014), 1985–2001.
148. Feng, Y., Ou, J., Pang, Z., Optimal control of price and production in an assemble-to-order system. Operations Research Letters 36:4 (2008), 506–512.
149. Fleischhacker, A., Ninh, A., Zhao, Y., Positioning inventory in clinical trial supply chains. Production and Operations Management 24:6 (2015), 991–1011.
150. Forsberg, R., Optimization of order-up-to-S policies for two-level inventory systems with compound poisson demand. European Journal of Operational Research 81:1 (1995), 143–153.
151. Forsberg, R., Evaluation of (R, Q) -policies for two-level inventory systems with generally distributed customer inter-arrival times. European Journal of Operational Research 99:2 (1997), 401–411.
152. Forsberg, R., Exact evaluation of (R, Q) -policies for two-level inventory systems with poisson demand. European Journal of Operational Research 96:1 (1997), 130–138.
153. Fu, K., Hsu, V.N., Lee, C.-Y., Inventory and production decisions for an assemble-to-order system with uncertain demand and limited assembly capacity. Operations Research 54:6 (2006), 1137–1150.
154. Funaki, K., Strategic safety stock placement in supply chain design with due-date based demand. International Journal of Production Economics 135:1 (2012), 4–13.
155. Gallego, G., Özer, Ö., A new algorithm and a new heuristic for serial supply systems. Operations Research Letters 33:4 (2005), 349–362.
156. Gallego, G., Özer, Ö., Zipkin, P., Bounds, heuristics, and approximations for distribution systems. Operations Research 55:3 (2007), 503–517.
157. Gallego, G., Zipkin, P., Stock positioning and performance estimation in serial production-transportation systems. Manufacturing & Service Operations Management 1:1 (1999), 77–88.
158. Gallien, J., Wein, L.M., A simple and effective component procurement policy for stochastic assembly systems. Queueing Systems 38:2 (2001), 221–248.
159. Ganeshan, R., Managing supply chain inventories: A multiple retailer, one warehouse, multiple supplier model. International Journal of Production Economics 59:1 (1999), 341–354.
160. Gao, C., Shen, H., Cheng, T.C.E., Order-fulfillment performance analysis of an assemble-to-order system with unreliable machines. International Journal of Production Economics 126:2 (2010), 341–349.
161. Garcia-Herreros, P., Agarwal, A., Wassick, J.M., Grossmann, I.E., Optimizing inventory policies in process networks under uncertainty. Computers & Chemical Engineering 92 (2016), 256–272.
162. Gavirneni, S., Information flows in capacitated supply chains with fixed ordering costs. Management Science 48:5 (2002), 644–651.
163. Gerchak, Y., Henig, M., Component commonality in assemble-to-order systems: Models and properties. Naval Research Logistics 36:1 (1989), 61–68.
164. Giannoccaro, I., Pontrandolfo, P., Scozzi, B., A fuzzy echelon approach for inventory management in supply chains. European Journal of Operational Research 149:1 (2003), 185–196.
165. Glasserman, P., Tayur, S., The stability of a capacitated, multi-echelon production-inventory system under a base-stock policy. Operations Research 42:5 (1994), 913–925.
166. Glasserman, P., Tayur, S., Sensitivity analysis for base-stock levels in multiechelon production-inventory systems. Management Science 41:2 (1995), 263–281.
167. Glasserman, P., Tayur, S., A simple approximation for a multistage capacitated production-inventory system. Naval Research Logistics 43:1 (1996), 41–58.
168. Glasserman, P., Wang, Y., Leadtime-inventory trade-offs in assemble-to-order systems. Operations Research 46:6 (1998), 858–871.
169. Goh, J., Porteus, E.L., Multi-echelon inventory management under short-term take-or-pay contracts. Production and Operations Management 25:8 (2016), 1415–1429.
170. Grahl, J., Minner, S., Dittmar, D., Meta-heuristics for placing strategic safety stock in multi-echelon inventory with differentiated service times. Annals of Operations Research 242:2 (2016), 489–504.
171. Grahovac, J., Chakravarty, A., Sharing and lateral transshipment of inventory in a supply chain with expensive low-demand items. Management Science 47:4 (2001), 579–594.
172. Graman, G.A., Rogers, D.F., Delivery delay variation in multi-echelon inventory problems. Journal of the Operational Research Society 48:10 (1997), 1029–1036.
173. Graves, S.C., A multi-echelon inventory model for a repairable item with one-for-one replenishment. Management Science 31:10 (1985), 1247–1256.
174. Graves, S.C., A multi-echelon inventory model with fixed replenishment intervals. Management Science 42:1 (1996), 1–18.
175. Graves, S.C., Kletter, D.B., Hetzel, W.B., A dynamic model for requirements planning with application to supply chain optimization. Operations Research 46:3-supplement-3 (1998), 35–49.
176. Graves, S.C., Schoenmeyr, T., Strategic safety-stock placement in supply chains with capacity constraints. Manufacturing & Service Operations Management 18:3 (2016), 445–460.
177. Graves, S.C., Willems, S.P., Optimizing strategic safety stock placement in supply chains. Manufacturing & Service Operations Management 2:1 (2000), 68–83.
178. Graves, S.C., Willems, S.P., Optimizing the supply chain configuration for new products. Management Science 51:8 (2005), 1165–1180.
179. Graves, S.C., Willems, S.P., Strategic inventory placement in supply chains: nonstationary demand. Manufacturing & Service Operations Management 10:2 (2008), 278–287.
180. Gullu, R., Erkip, N., Optimal allocation policies in a two-echelon inventory problem with fixed shipment costs. International Journal of Production Economics 46-47 (1996), 311–321.
181. Gupta, A., Albright, S.C., Steady-state approximations for a multi-echelon multi-indentured repairable-item inventory system. European Journal of Operational Research 62:3 (1992), 340–353.
182. Gurbuz, M.C., Moinzadeh, K., Zhou, Y.-P., Coordinated replenishment strategies in inventory/distribution systems. Management Science 53:2 (2007), 293–307.
183. Haji, R., Tayebi, H., Jeddi, B.G., One-for-one-period ordering policy for inventory systems with unidirectional lateral transshipments. The International Journal of Advanced Manufacturing Technology 74:9–12 (2014), 1159–1166.
184. Hausman, W.H., Erkip, N.K., Multi-echelon vs. single-echelon inventory control policies for low-demand items. Management Science 40:5 (1994), 597–602.
185. Hill, R.M., Seifbarghy, M., Smith, D.K., A two-echelon inventory model with lost sales. European Journal of Operational Research 181:2 (2007), 753–766.
186. Hillestad, R.J., Carrillo, M.J., Models and techniques for recoverable item stockage when demand and the repair process are nonstationary, part 1: Performance measurement. The Rand Corporation 1:l482-AF (1980), 1–35.
187. Hillier, M.S., Component commonality in a multiple-period inventory model with service level constraints. International Journal of Production Research 37:12 (1999), 2665–2683.
188. Hillier, M.S., Component commonality in multiple-period, assemble-to-order systems. IIE Transactions 32:8 (2000), 755–766.
189. Howard, C., Marklund, J., Evaluation of stock allocation policies in a divergent inventory system with shipment consolidation. European Journal of Operational Research 211:2 (2011), 298–309.
190. Hu, M., Yang, Y., Modified echelon (r, Q) policies with guaranteed performance bounds for stochastic serial inventory systems. Operations Research 62:4 (2014), 812–828.
191. Hua, N.G., Willems, S.P., Analytical insights into two-stage serial line supply chain safety stock. International Journal of Production Economics 181:Part A (2016), 107–112.
192. Hua, N.G., Willems, S.P., Optimally configuring a two-stage serial line supply chain under the guaranteed service model. International Journal of Production Economics 181:Part A (2016), 98–106.
193. Huang, K., Benchmarking non-first-come-first-served component allocation in an assemble-to-order system. Annals of Operations Research 223:1 (2014), 217–237.
194. Huh, W.T., Janakiraman, G., On the optimal policy structure in serial inventory systems with lost sales. Operations Research 58:2 (2010), 486–491.
195. Huh, W.T., Janakiraman, G., Technical note – on optimal policies for inventory systems with batch ordering. Operations Research 60:4 (2012), 797–802.
196. Huh, W.T., Janakiraman, G., Nagarajan, M., Capacitated multiechelon inventory systems: Policies and bounds. Manufacturing & Service Operations Management 18:4 (2016), 570–584.
197. Humair, S., Ruark, J., Tomlin, B., Willems, S.P., Incorporating stochastic lead times into the guaranteed service model of safety stock optimization. Interfaces 43:5 (2013), 421–434.
198. Humair, S., Willems, S.P., Optimizing strategic safety stock placement in supply chains with clusters of commonality. Operations Research 54:4 (2006), 725–742.
199. Humair, S., Willems, S.P., Technical note – optimizing strategic safety stock placement in general acyclic networks. Operations Research 59:3 (2011), 781–787.
200. Hwarng, H., Chong, C.S.P., Xie, N., Burgess, T.F., Modelling a complex supply chain: understanding the effect of simplified assumptions. International Journal of Production Research 43:13 (2005), 2829–2872.
201. Iida, T., The infinite horizon non-stationary stochastic multi-echelon inventory problem and near-myopic policies. European Journal of Operational Research 134:3 (2001), 525–539.
202. Inderfurth, K., Safety stock optimization in multi-stage inventory systems. International Journal of Production Economics 24:1 (1991), 103–113.
203. Inderfurth, K., Multistage safety stock optimization with dynamic programming. OR Spektrum 14:1 (1992), 19–32.
204. Inderfurth, K., Multistage safety stock planning with item demands correlated across products and through time. Production and Operations Management 4:2 (1995), 127–144.
205. Inderfurth, K., Minner, S., Safety stocks in multi-stage inventory systems under different service measures. European Journal of Operational Research 106:1 (1998), 57–73.
206. Iravani, S.M.R., Luangkesorn, K.L., Simchi-Levi, D., On assemble-to-order systems with flexible customers. IIE Transactions 35:5 (2003), 389–403.
207. Jackson, P.L., Stock allocation in a two-echelon distribution system or what to do until your ship comes in. Management Science 34:7 (1988), 880–895.
208. Jackson, P.L., Muckstadt, J.A., Risk pooling in a two-period, two-echelon inventory stocking and allocation problem. Naval Research Logistics 36:1 (1989), 1–26.
209. Janakiraman, G., Muckstadt, J.A., A decomposition approach for a class of capacitated serial systems. Operations Research 57 (2009), 1384–1393.
210. Ji, Q., Sun, L., Hu, X., Hou, J., Optimal policies of a two-echelon serial inventory system with general limited capacities. International Journal of Production Research 54:20 (2016), 6142–6155.
211. Jönsson, H., Silver, E.A., Analysis of a two-echelon inventory control system with complete redistribution. Management Science 33:2 (1987), 215–227.
212. Jönsson, H., Silver, E.A., Stock allocation among a central warehouse and identical regional warehouses in a particular push inventory control system. International Journal of Production Research 25:2 (1987), 191–205.
213. Karaarslan, A.G., Kiesmuller, G.P., de Kok, A.G., Analysis of an assemble-to-order system with different review periods. International Journal of Production Economics 143:2 (2013), 335–341.
214. Karaarslan, A.G., Kiesmuller, G.P., de Kok, A.G., Effect of modeling fixed cost in a serial inventory system with periodic review. OR Spectrum 36:2 (2014), 481–502.
215. Keblis, M.F., Feng, Y., Optimal pricing and production control in an assembly system with a general stockout cost. IEEE Transactions on Automatic Control 57:7 (2012), 1821–1826.
216. Kiesmuller, G.P., de Kok, A.G., Smits, S.R., van Laarhoven, P.J.M., Evaluation of divergent N-echelon (s, nQ)-policies under compound renewal demand. OR Spectrum 26:4 (2004), 547–577.
217. Kim, C., Klabjan, D., Simchi-Levi, D., Optimal Expediting Policies for a serial inventory system with stochastic lead time. Production and Operations Management 24:10 (2015), 1524–1536.
218. Klosterhalfen, S.T., Dittmar, D., Minner, S., An integrated guaranteed- and stochastic-service approach to inventory optimization in supply chains. European Journal of Operational Research 231:1 (2013), 109–119.
219. Klosterhalfen, S.T., Minner, S., Comparison of stochastic- and guaranteed- service approaches to safety stock optimization in supply chains. Waldmann, K.-H., Stocker, U.M., (eds.) Proceedings of the operations research, 2007, Springer, 485–490.
220. Klosterhalfen, S.T., Minner, S., Safety stock optimisation in distribution systems: A comparison of two competing approaches. International Journal of Logistics Research and Applications 13:2 (2010), 99–120.
221. Klosterhalfen, S.T., Minner, S., Willems, S.P., Strategic safety stock placement in supply networks with static dual supply. Manufacturing & Service Operations Management 16:2 (2014), 204–219.
222. Ko, S.-S., Choi, J.Y., Seo, D.-W., Approximations of lead-time distributions in an assemble-to-order system under a base-stock policy. Computers & Operations Research 38:2 (2011), 582–590.
223. Köchel, P., Nieländer, U., Simulation-based optimisation of multi-echelon inventory systems. International Journal of Production Economics 93–94 (2005), 505–513.
224. Korugan, A., Gupta, S.M., A multi-echelon inventory system with returns. Computers & Industrial Engineering 35:1 (1998), 145–148.
225. Kutanoglu, E., Mahajan, M., An inventory sharing and allocation method for a multi-location service parts logistics network with time-based service levels. European Journal of Operational Research 194:3 (2009), 728–742.
226. Lagodimos, A.G., Multi-echelon service models for inventory systems under different rationing policies. International Journal of Production Research 30:4 (1992), 939–956.
227. Lagodimos, A.G., Models for evaluating the performance of serial and assembly MRP systems. European Journal of Operational Research 68:1 (1993), 49–68.
228. Lagodimos, A.G., Anderson, E.J., Optimal positioning of safety stocks in MRP. The International Journal of Production Research 31:8 (1993), 1797–1813.
229. Lagodimos, A.G., de Kok, A.G., Verrijdt, J.H.C.M., The robustness of multi-echelon service models under autocorrelated demands. Journal of the Operational Research Society 46:1 (1995), 92–103.
230. Lagodimos, A.G., Koukoumialos, S., Service performance of two-echelon supply chains under linear rationing. International Journal of Production Economics 112:2 (2008), 869–884.
231. Lagodimos, A.G., Skouri, K., Christou, I.T., Global optimization of two-echelon serial chains with replenishment costs. IMA Journal of Management Mathematics 27:1 (2015), 1–29.
232. Lambrecht, M.R., Muckstadt, J.A., Luyten, R., Protective stocks in multi-stage production systems. International Journal of Production Research 22:6 (1984), 1001–1025.
233. Langenhoff, L.J.G., Zijm, W.H.M., An analytical theory of multi-echelon production/distribution systems. Statistica Neerlandica 44:3 (1990), 149–174.
234. Lee, H.L., A multi-echelon inventory model for repairable items with emergency lateral transshipments. Management Science 33:10 (1987), 1302–1316.
235. Lee, H.L., Billington, C., Material management in decentralized supply chains. Operations Research 41:5 (1993), 835–847.
236. Lee, H.L., Moinzadeh, K., Operating characteristics of a two-echelon inventory system for repairable and consumable items under batch ordering and shipment policy. Naval Research Logistics 34:3 (1987), 365–380.
237. Lee, H.L., Moinzadeh, K., Two-parameter approximations for multi-echelon repairable inventory models with batch ordering policy. IIE Transactions 19:2 (1987), 140–149.
238. Lee, H.L., So, K.C., Tang, C.S., The value of information sharing in a two-level supply chain. Management Science 46:5 (2000), 626–643.
239. Lee, H.L., Whang, S., Decentralized multi-echelon supply chains: Incentives and information. Management Science 45:5 (1999), 633–640.
240. Lee, Y.-J., Zipkin, P., Processing networks with inventories: sequential refinement systems. Operations Research 43:6 (1995), 1025–1036.
241. Lesnaia, E., Optimizing safety stock placement in general network supply chains, 2004, Massachusetts Institute of Technology Ph.D. thesis.
242. Levi, R., Roundy, R., Truong, V.A., Wang, X., Provably near-optimal balancing policies for multi-echelon stochastic inventory control models. Mathematics of Operations Research 42:1 (2017), 256–276.
243. Li, H., Jiang, D., New model and heuristics for safety stock placement in general acyclic supply chain networks. Computers & Operations Research 39:7 (2012), 1333–1344.
244. Liberopoulos, G., Dallery, Y., Comparative modelling of multi-stage production-inventory control policies with lot sizing. International Journal of Production Research 41:6 (2003), 1273–1298.
245. Liberopoulos, G., Koukoumialos, S., Tradeoffs between base stock levels, numbers of kanbans, and planned supply lead times in production/inventory systems with advance demand information. International Journal of Production Economics 96:2 (2005), 213–232.
246. Lin, G., Ettl, M., Buckley, S., Bagchi, S., Yao, D.D., Naccarato, B.L., et al. Extended-enterprise supply-chain management at IBM personal systems group and other divisions. Interfaces 30:1 (2000), 7–25.
247. Liu, L., Liu, X., Yao, D.D., Analysis and optimization of a multistage inventory-queue system. Management Science 50:3 (2004), 365–380.
248. Lu, L., Song, J.-S., Zhang, H., Optimal and asymptotically optimal policies for assemble-to-order N- and W-systems. Naval Research Logistics 62:8 (2015), 617–645, 10.1002/nav.21671.
249. Lu, Y., Performance analysis for assemble-to-order systems with general renewal arrivals and random batch demands. European Journal of Operational Research 185:2 (2008), 635–647.
250. Lu, Y., Song, J.-S., Order-based cost optimization in assemble-to-order systems. Operations Research 53:1 (2005), 151–169.
251. Lu, Y., Song, J.-S., Yao, D.D., Order fill rate, leadtime variability, and advance demand information in an assemble-to-order system. Operations Research 51:2 (2003), 292–308.
252. Lu, Y., Song, J.-S., Yao, D.D., Backorder minimization in multiproduct assemble-to-order systems. IIE Transactions 37:8 (2005), 763–774.
253. Lu, Y., Song, J.-S., Zhao, Y., No-holdback allocation rules for continuous-time assemble-to-order systems. Operations Research 58:3 (2010), 691–705.
254. Magnanti, T.L., Shen, Z.-J. M., Shu, J., Simchi-Levi, D., Teo, C.-P., Inventory placement in acyclic supply chain networks. Operations Research Letters 34:2 (2006), 228–238.
255. Mahmoodi, A., Haji, A., (1, T) policy for a two-echelon inventory system with perishable-on-the-shelf items. Journal of Optimization in Industrial Engineering 7:16 (2014), 31–40.
256. Marklund, J., Centralized inventory control in a two-level distribution system with Poisson demand. Naval Research Logistics 49:8 (2002), 798–822.
257. Marklund, J., Controlling inventories in divergent supply chains with advance-order information. Operations Research 54:5 (2006), 988–1010.
258. Marklund, J., Inventory control in divergent supply chains with time-based dispatching and shipment consolidation. Naval Research Logistics 58:1 (2011), 59–71.
259. Marklund, J., Rosling, K., Lower bounds and heuristics for supply chain stock allocation. Operations Research 60:1 (2012), 92–105.
260. Masters, J.M., Determination of near optimal stock levels for multi-echelon distribution inventories. Journal of Business Logistics 14:2 (1993), 165–195.
261. McGavin, E.J., Schwarz, L.B., Ward, J.E., Two-interval inventory-allocation policies in a one-warehouse N-identical-retailer distribution system. Management Science 39:9 (1993), 1092–1107.
262. Minner, S., Dynamic programming algorithms for multi-stage safety stock optimization. OR Spektrum 19:4 (1997), 261–271.
263. Minner, S., Strategic safety stocks in reverse logistics supply chains. International Journal of Production Economics 71:1-3 (2001), 417–428.
264. Minner, S., Diks, E.B., de Kok, A.G., A two-echelon inventory system with supply lead time flexibility. IIE Transactions 35:2 (2003), 117–129.
265. Mitra, S., Chatterjee, A.K., Echelon stock based continuous review (R, Q) policy for fast moving items. Omega 32:2 (2004), 161–166.
266. Mitra, S., Chatterjee, A.K., Leveraging information in multi-echelon inventory systems. European Journal of Operational Research 152:1 (2004), 263–280.
267. Moinzadeh, K., A multi-echelon inventory system with information exchange. Management Science 48:3 (2002), 414–426.
268. Moinzadeh, K., Aggarwal, P.K., An information based multiechelon inventory system with emergency orders. Operations Research 45:5 (1997), 694–701.
269. Moinzadeh, K., Lee, H.L., Batch size and stocking levels in multi-echelon repairable systems. Management Science 32:12 (1986), 1567–1581.
270. Moinzadeh, K., Zhou, Y.-P., Incorporating a delay mechanism in ordering policies into multi-echelon distribution systems. IIE Transactions 40:4 (2008), 445–458.
271. Molinder, A., Joint optimization of lot-sizes, safety stocks and safety lead times in an MRP system. International Journal of Production Research 35:4 (1997), 983–994.
272. Moncayo-Martinez, L.A., Ramirez-Lopez, A., Recio, G., Managing inventory levels and time to market in assembly supply chains by swarm intelligence algorithms. The International Journal of Advanced Manufacturing Technology 82:1–4 (2016), 419–433.
273. Moncayo-Martinez, L.A., Resendiz-Flores, E.O., Mercado, D., Sanchez-Ramirez, C., Placing safety stock in logistic networks under guaranteed-service time inventory models: An application to the automotive industry. Journal of Applied Research and Technology 12:3 (2014), 538–550.
274. Muckstadt, J.A., A model for a multi-item, multi-echelon, multi-indenture inventory system. Management Science 20:4 (1973), 472–481.
275. Muckstadt, J.A., Thomas, L.J., Are multi-echelon inventory methods worth implementing in systems with low-demand-rate items?. Management Science 26:5 (1980), 483–494.
276. Muharremoglu, A., Tsitsiklis, J.N., A single-unit decomposition approach to multiechelon inventory systems. Operations Research 56:5 (2008), 1089–1103.
277. Muharremoglu, A., Yang, N., Inventory management with an exogenous supply process. Operations Research 58:1 (2010), 111–129.
278. Nadar, E., Akan, M., Scheller-Wolf, A., Technical note—optimal structural results for assemble-to-order generalized m-systems. Operations Research 62:3 (2014), 571–579.
279. Nadar, E., Akan, M., Scheller-Wolf, A., Experimental results indicating lattice-dependent policies may be optimal for general assemble-to-order systems. Production and Operations Management 25:4 (2016), 647–661.
280. Nahmias, S., Smith, S.A., Optimizing inventory levels in a two-echelon retailer system with partial lost sales. Management Science 40:5 (1994), 582–596.
281. Neale, J.J., Willems, S.P., Managing inventory in supply chains with nonstationary demand. Interfaces 39:5 (2009), 388–399.
282. Needham, P.M., Evers, P.T., The influence of individual cost factors on the use of emergency transshipments. Transportation Research Part E: Logistics and Transportation Review 34:2 (1998), 149–160.
283. Nepal, B., Monplaisir, L., Famuyiwa, O., A multi-objective supply chain configuration model for new products. International Journal of Production Research 49:23 (2011), 71077–71134.
284. Ni, W., Shu, J., Trade-off between service time and carbon emissions for safety stock placement in multi-echelon supply chains. International Journal of Production Research 53:22 (2015), 6701–6718.
285. Nozick, L.K., Turnquist, M.A., A two-echelon inventory allocation and distribution center location analysis. Transportation Research Part E: Logistics and Transportation Review 37:6 (2001), 425–441.
286. Oh, S., Sourirajan, K., Ettl, M., Joint pricing and production decisions in an assemble-to-order system. Manufacturing & Service Operations Management 16:4 (2014), 529–543.
287. Ohno, K., Boh, T., Nakade, K., Tamura, T., New approximate dynamic programming algorithms for large-scale undiscounted Markov decision processes and their application to optimize a production and distribution system. European Journal of Operational Research 249:1 (2016), 22–31.
288. Özer, Ö., Replenishment strategies for distribution systems under advance demand information. Management Science 49:3 (2003), 255–272.
289. Özkan, E., van Houtum, G.-J., Serin, Y., A new approximate evaluation method for two-echelon inventory systems with emergency shipments. Annals of Operations Research 224:1 (2015), 147–169.
290. Özkan, E., van Houtum, G.-J., Serin, Y., A new approximate evaluation method for two-echelon inventory systems with emergency shipments. Annals of Operations Research 224:1 (2015), 147–169.
291. Parker, R.P., Kapuscinski, R., Optimal policies for a capacitated two-echelon inventory system. Operations Research 52:5 (2004), 739–755.
292. Patriarca, R., Costantino, F., Di Gravio, G., Inventory model for a multi-echelon system with unidirectional lateral transshipment. Expert Systems with Applications 65 (2016), 372–382.
293. Perlman, Y., Mehrez, A., Kaspi, M., Setting expediting repair policy in a multi-echelon repairable-item inventory system with limited repair capacity. Journal of the Operational Research Society 52:2 (2001), 198–209.
294. Petrovic, D., Roy, R., Petrovic, R., Modelling and simulation of a supply chain in an uncertain environment. European Journal of Operational Research 109:2 (1998), 299–309.
295. Petrovic, D., Roy, R., Petrovic, R., Supply chain modelling using fuzzy sets. International Journal of Production Economics 59:1 (1999), 443–453.
296. Plambeck, E.L., Asymptotically optimal control for an assemble-to-order system with capacitated component production and fixed transport costs. Operations Research 56:5 (2008), 1158–1171.
297. Plambeck, E.L., Ward, A.R., Optimal control of a high-volume assemble-to-order system. Mathematics of Operations Research 31:3 (2006), 453–477.
298. Plambeck, E.L., Ward, A.R., Note: A separation principle for a class of assemble-to-order systems with expediting. Operations Research 55:3 (2007), 603–609.
299. Pyke, D.F., Priority repair and dispatch policies for reparable-item logistics systems. Naval Research Logistics 37:1 (1990), 1–30.
300. Raghunathan, S., Information sharing in a supply chain: A note on its value when demand is nonstationary. Management Science 47:4 (2001), 605–610.
301. Rambau, J., Schade, K., The stochastic guaranteed service model with recourse for multi-echelon warehouse management. Electronic Notes in Discrete Mathematics 36 (2010), 783–790.
302. Rambau, J., Schade, K., The stochastic guaranteed service model with recourse for multi-echelon warehouse management. Mathematical Methods of Operations Research 79:3 (2014), 293–326.
303. Rappold, J.A., Muckstadt, J.A., A computationally efficient approach for determining inventory levels in a capacitated multiechelon production-distribution system. Naval Research Logistics 47:5 (2000), 377–398.
304. Rappold, J.A., van Roo, B.D., Designing multi-echelon service parts networks with finite repair capacity. European Journal of Operational Research 199:3 (2009), 781–792.
305. Reiman, M.I., Wan, H., Wang, Q., On the use of independent base-stock policies in assemble-to-order inventory systems with nonidentical lead times. Operations Research Letters 44:4 (2016), 436–442.
306. Reiman, M.I., Wan, H., Wang, Q., On the use of independent base-stock policies in assemble-to-order inventory systems with nonidentical lead times. Operations Research Letters 44:4 (2016), 436–442.
307. Reiman, M.I., Wang, Q., A stochastic program based lower bound for assemble-to-order inventory systems. Operations Research Letters 40:2 (2012), 89–95.
308. Reiman, M.I., Wang, Q., Asymptotically optimal inventory control for assemble-to-order systems with identical lead times. Operations Research 63:3 (2015), 716–732.
309. Rong, Y., Atan, Z., & Snyder, L. V. (2014). Heuristics for base-stock levels in multi-echelon distribution networks with first-come first served policies. Working paper SSRN 1475469.
310. Rosenbaum, B.A., Service level relationships in a multi-echelon inventory system. Management Science 27:8 (1981), 926–945.
311. Rosling, K., Optimal inventory policies for assembly systems under random demands. Operations Research 37:4 (1989), 565–579.
312. Routroy, S., Kodali, R., Differential evolution algorithm for supply chain inventory planning. Journal of Manufacturing Technology Management 16:1 (2005), 7–17.
313. Roy, D., Raghavan, N.R.S., A constrained Nash bargaining approach to the stock rationing problem in multi-echelon supply chains. The International Journal of Advanced Manufacturing Technology 72:5-8 (2014), 571–587.
314. Salzarulo, P.A., Jacobs, F.R., The incremental value of central control in serial supply chains. International Journal of Production Research 52:7 (2014), 1989–2006.
315. Santos, A.F., Bispo, C.F., Simulation based optimization package for periodic review inventory control. Proceedings of the winter simulation conference WSC ’16, 2016, IEEE Press, Piscataway, NJ, USA, 2867–2878.
316. Schildbach, G., Morari, M., Scenario-based model predictive control for multi-echelon supply chain management. European Journal of Operational Research 252:2 (2016), 540–549.
317. Schmidt, C.P., Nahmias, S., Optimal policy for a two-stage assembly system under random demand. Operations Research 33:5 (1985), 1130–1145.
318. Schneider, H., Rinks, D.B., Kelle, P., Power approximations for a two-echelon inventory system using service levels. Production and Operations Management 4:4 (1995), 381–400.
319. Schoenmeyr, T., Graves, S.C., Strategic safety stocks in supply chains with evolving forecasts. Manufacturing & Service Operations Management 11 (2009), 657–673.
320. Schultz, C.R., Computing demand properties at the wholesale warehouse level. Naval Research Logistics Quarterly 30:1 (1983), 37–48.
321. Schwarz, L.B., A model for assessing the value of warehouse risk-pooling: risk-pooling over outside-supplier leadtimes. Management Science 35:7 (1989), 828–842.
322. Schwarz, L.B., Deuermeyer, B.L., Badinelli, R.D., Fill-rate optimization in a one-warehouse n-identical retailer distribution system. Management Science 31:4 (1985), 488–498.
323. Seferlis, P., Giannelos, N.F., A two-layered optimisation-based control strategy for multi-echelon supply chain networks. Computers & Chemical Engineering 28:5 (2004), 799–809.
324. Seifbarghy, M., Jokar, M.R.A., Cost evaluation of a two-echelon inventory system with lost sales and approximately poisson demand. International Journal of Production Economics 102:2 (2006), 244–254.
325. Seo, Y., Jung, S., Hahm, J., Optimal reorder decision utilizing centralized stock information in a two-echelon distribution system. Computers & Operations Research 29:2 (2002), 171–193.
326. Shang, K.H., Note: A simple heuristic for serial inventory systems with fixed order costs. Operations Research 56:4 (2008), 1039–1043.
327. Shang, K.H., Single-stage approximations for optimal policies in serial inventory systems with nonstationary demand. Manufacturing & Service Operations Management 14:3 (2012), 414–422.
328. Shang, K.H., Song, J.-S., Newsvendor bounds and heuristic for optimal policies in serial supply chains. Management Science 49:5 (2003), 618–638.
329. Shang, K.H., Song, J.-S., A closed-form approximation for serial inventory systems and its application to system design. Manufacturing & Service Operations Management 8:4 (2006), 394–406.
330. Shang, K.H., Song, J.-S., Serial supply chains with economies of scale: bounds and approximations. Operations Research 55:5 (2007), 843–853.
331. Shang, K.H., Song, J.-S., Zipkin, P.H., Coordination mechanisms in decentralized serial inventory systems with batch ordering. Management Science 55:4 (2009), 685–695.
332. Shang, K.H., Tao, Z., Zhou, S.X., Optimizing reorder intervals for two-echelon distribution systems with stochastic demand. Operations Research 62:2 (2015), 458–475.
333. Shang, K.H., Zhou, S.X., A simple heuristic for echelon (r, nQ, T) policies in serial supply chains. Operations Research Letters 37:6 (2009), 433–437.
334. Shang, K.H., Zhou, S.X., Optimal and heuristic echelon (r, nQ, T) policies in serial inventory systems with fixed costs. Operations Research 58:2 (2010), 414–427.
335. Shang, K.H., Zhou, S.X., van Houtum, G.-J., Improving supply chain performance: Real-time demand information and flexible deliveries. Manufacturing & Service Operations Management 12:3 (2010), 430–448.
336. Sherbrooke, C.C., METRIC: A multi-echelon technique for recoverable item control. Operations Research 16:1 (1968), 122–141.
337. Sherbrooke, C.C., VARI-METRIC: Improved approximations for multi-indenture, multi-echelon availability models. Operations Research 34:2 (1986), 311–319.
338. Sherbrooke, C.C., Multiechelon inventory systems with lateral supply. Naval Research Logistics 39:1 (1992), 29–40.
339. Shi, J.J., Zhao, Y., Component commonality under no-holdback allocation rules. Operations Research Letters 42:6 (2014), 409–413.
340. Shu, J., Karimi, I.A., Efficient heuristics for inventory placement in acyclic networks. Computers Operations Research 36:11 (2009), 2899–2904.
341. Simchi-Levi, D., Zhao, Y., The value of information sharing in a two-stage supply chain with production capacity constraints. Naval Research Logistics 50:8 (2003), 888–916.
342. Simon, R.M., Stationary properties of a two-echelon inventory model for low demand items. Operations Research 19:3 (1971), 761–773.
343. Simpson, K.F., In-process inventories. Operations Research 6:6 (1958), 863–873.
344. Simpson, V.P., Optimum solution structure for a repairable inventory problem. Operations Research 26:2 (1978), 270–281.
345. Sinha, A.K., Krishnamurthy, A., Dual index production and subcontracting policies for assemble-to-order systems. IIE Transactions 48:5 (2016), 415–427.
346. Sitompul, C., Aghezzaf, E.-H., Dullaert, W., van Landeghem, H., Safety stock placement problem in capacitated supply chains. International Journal of Production Research 46:17 (2008), 4709–4727.
347. Slay, F. M. (1984). Vari-metric: An approach to modelling multi-echelon resupply when the demand process is poisson with a gamma prior. Report no. AF301-3, Logistics Management Institute, Washington, DC.
348. Sleptchenko, A., van der Heijden, M.C., van Harten, A., Effects of finite repair capacity in multi-echelon, multi-indenture service part supply systems. International Journal of Production Economics 79:3 (2002), 209–230.
349. Song, J.-S., On the order fill rate in a multi-item, base-stock inventory system. Operations Research 46:6 (1998), 831–845.
350. Song, J.-S., A note on assemble-to-order systems with batch ordering. Management Science 46:5 (2000), 739–743.
351. Song, J.-S., Xu, S.H., Liu, B., Order-fulfillment performance measures in an assemble-to-order system with stochastic leadtimes. Operations Research 47:1 (1999), 131–149.
352. Song, J.-S., Zhao, Y., The value of component commonality in a dynamic inventory system with lead times. Manufacturing & Service Operations Management 11:3 (2009), 493–508.
353. Stenius, O., Karaarslan, A.G., Marklund, J., de Kok, A.G., Exact analysis of divergent inventory systems with time-based shipment consolidation and compound poisson demand. Operations Research 64:4 (2016), 906–921.
354. Svoronos, A., Zipkin, P., Estimating the performance of multi-level inventory systems. Operations Research 36:1 (1988), 57–72.
355. Svoronos, A., Zipkin, P., Evaluation of one-for-one replenishment policies for multiechelon inventory systems. Management Science 37:1 (1991), 68–83.
356. Tee, Y.-S., Rossetti, M.D., A robustness study of a multi-echelon inventory model via simulation. International Journal of Production Economics 80:3 (2002), 265–277.
357. Tempelmeier, H., Safety stock allocation in a two-echelon distribution system. European Journal of Operational Research 65:1 (1993), 96–117.
358. Tian, F., Willems, S.P., Kempf, K.G., An iterative approach to item-level tactical production and inventory planning. International Journal of Production Economics 133:1 (2011), 439–450.
359. Topan, E., Bayır, Z.P., Tan, T., An exact solution procedure for multi-item two-echelon spare parts inventory control problem with batch ordering in the central warehouse. Operations Research Letters 38:5 (2010), 454–461.
360. van den Berg, D., van der Heijden, M.C., Schuur, P.C., Allocating service parts in two-echelon networks at a utility company. International Journal of Production Economics 181, Part A (2016), 58–67.
361. van der Heijden, M.C., Analysing divergent logistic networks with local (R, S) inventory control. International Journal of Production Economics 27:3 (1992), 187–219.
362. van der Heijden, M.C., Supply rationing in multi-echelon divergent systems. European Journal of Operational Research 101:3 (1997), 532–549.
363. van der Heijden, M.C., Multi-echelon inventory control in divergent systems with shipping frequencies. European Journal of Operational Research 116:2 (1999), 331–351.
364. van der Heijden, M.C., Near cost-optimal inventory control policies for divergent networks under fill rate constraints. International Journal of Production Economics 63:2 (2000), 161–179.
365. van der Heijden, M.C., Diks, E.B., de Kok, A.G., Stock allocation in general multi-echelon distribution systems with (R, Q) order-up-to-policies. International Journal of Production Economics 49:2 (1997), 157–174.
366. van der Heijden, M.C., Diks, E.B., de Kok, A.G., Inventory control in multi-echelon divergent systems with random lead times. OR Spektrum 21:3 (1999), 331–359.
367. van Donselaar, K., Integral stock norms in divergent systems with lot-sizes. European Journal of Operational Research 45:1 (1990), 70–84.
368. van Donselaar, K., Wijngaard, J., Commonality and safety stocks. Engineering Costs and Production Economics 12:1 (1987), 197–204.
369. van Houtum, G.-J., Scheller-Wolf, A., Yi, J., Optimal control of serial inventory systems with fixed replenishment intervals. Operations Research 55:4 (2007), 674–687.
370. van Houtum, G.-J., Zijm, W.H.M., Computational procedures for stochastic multi-echelon production systems. International Journal of Production Economics 23:1 (1991), 223–237.
371. van Jaarsveld, W., Scheller-Wolf, A., Optimization of industrial-scale assemble-to-order systems. INFORMS Journal on Computing 27:3 (2015), 544–560.
372. van Wijk, A.C.C., Adan, I.J.B.F., van Houtum, G.-J., Optimal allocation policy for a multi-location inventory system with a quick response warehouse. Operations Research Letters 41:3 (2013), 305–310.
373. Veatch, M.H., Wein, L.M., Optimal control of a two-station tandem production/inventory system. Operations Research 42:2 (1994), 337–350.
374. Verrijdt, J.H.C.M., de Kok, A.G., Distribution planning for a divergent N-echelon network without intermediate stocks under service restrictions. International Journal of Production Economics 38:2 (1995), 225–243.
375. Verrijdt, J.H.C.M., de Kok, A.G., Distribution planning for a divergent depotless two-echelon network under service constraints. European Journal of Operational Research 89:2 (1996), 341–354.
376. Wang, Q., Axsäter, S., Fixed-interval joint-replenishment policies for distribution systems with multiple retailers and stochastic demand. Naval Research Logistics 60:8 (2013), 637–651.
377. Wang, Y., Cohen, M.A., Zheng, Y.-S., A two-echelon repairable inventory system with stocking-center-dependent depot replenishment lead times. Management Science 46:11 (2000), 1441–1453.
378. Wheatley, D., Gzara, F., Jewkes, E., Logic-based Benders decomposition for an inventory-location problem with service constraints. Omega 55 (2015), 10–23.
379. Wieland, B., Mastrantonio, P., Willems, S.P., Kempf, K.G., Optimizing inventory levels within Intel's channel supply demand operations. Interfaces 42:6 (2012), 517–527.
380. Woerner, S., Laumanns, M., Wagner, S.M., Simulation-based optimization of capacitated assembly systems under beta-service level constraints. Decision Sciences 49 (2018), 180–217, 10.1111/deci.12260.
381. Wong, H., Cattrysse, D., van Oudheusden, D., Stocking decisions for repairable spare parts pooling in a multi-hub system. International Journal of Production Economics 93-94 (2005), 309–317.
382. Wong, H., Kranenburg, B., van Houtum, G.-J., Cattrysse, D., Efficient heuristics for two-echelon spare parts inventory systems with an aggregate mean waiting time constraint per local warehouse. OR Spectrum 29:4 (2007), 699–722.
383. Xiang, Y., Rossetti, M.D., The effect of backlog queue and load-building processing in a multi-echelon inventory network. Simulation Modelling Practice and Theory 43 (2014), 54–66.
384. Xu, X., Zhao, Y., Chen, C.-Y., Project-driven supply chains: integrating safety-stock and crashing decisions for recurrent projects. Annals of Operations Research 241:1–2 (2016), 225–247.
385. Yang, G., Dekker, R., Gabor, A.F., Axsäter, S., Service parts inventory control with lateral transshipment and pipeline stock flexibility. International Journal of Production Economics 142:2 (2013), 278–289.
386. Ye, W., You, F., A computationally efficient simulation-based optimization method with region-wise surrogate modeling for stochastic inventory management of supply chains with general network structures. Computers & Chemical Engineering 87 (2016), 164–179.
387. Yoo, Y.-j., Kim, W.-s., Rhee, J.-t., Efficient inventory management in multi-echelon distribution systems. Computers & Industrial Engineering 33:3 (1997), 729–732.
388. Yoon, H., Jung, S., Lee, S., The effect analysis of multi-echelon inventory models considering demand rate uncertainty and limited maintenance capacity. International Journal of Operational Research 24:1 (2015), 38–58.
389. You, F., Grossmann, I.E., Stochastic inventory management for tactical process planning under uncertainties: MINLP models and algorithms. AIChE Journal 57:5 (2011), 1250–1277.
390. Zanjani, M.K., Nourelfath, M., Integrated spare parts logistics and operations planning for maintenance service providers. International Journal of Production Economics 158 (2014), 44–53.
391. Zhang, A.X., Demand fulfillment rates in an assemble-to-order system with multiple products and dependent demands. Production and Operations Management 6:3 (1997), 309–324.
392. Zijm, W.H.M., van Houtum, G.-J., On multi-stage production/inventory systems under stochastic demand. International Journal of Production Economics 35:1 (1994), 391–400.
393. Zipkin, P., On the imbalance of inventories in multi-echelon systems. Mathematics of Operations Research 9:3 (1984), 402–423.
394. Zipkin, P., Evaluation of base-stock policies in multiechelon inventory systems with compound-poisson demands. Naval Research Logistics 38:3 (1991), 397–412.
395. Axsäter, S., Continuous review policies for multi-level inventory systems with stochastic demand. Graves, S., Rinnooy Kan, A., Zipkin, P., (eds.) Handbooks in operations research and management science, 4, 1993, Elsevier, 175–197.
396. Axsäter, S., Supply chain operations: Serial and distribution inventory systems, 11, 2003, Elsevier, 525–559.
397. Boysen, N., Fliedner, M., Scholl, A., A classification of assembly line balancing problems. European Journal of Operational Research 183:2 (2007), 674–693.
398. Brucker, P., Drexl, A., MÖhring, R., Neumann, K., Pesch, E., Resource-constrained project scheduling: Notation, classification, models, and methods. European Journal of Operational Research 112:1 (1999), 3–41.
399. Buzacott, J.A., Shanthikumar, J.G., Stochastic models of manufacturing systems. 4, 1993, Prentice Hall, Englewood Cliffs, NJ.
400. Copil, K., Wörbelauer, M., Meyr, H., Tempelmeier, H., Simultaneous lotsizing and scheduling problems: a classification and review of models. OR Spectrum 39:1 (2017), 1–64.
401. de Kok, A.G., The return of the bullwhip. Review of Business and Economic Literature 57:3 (2012), 381–392.
402. de Kok, A.G., Buffering against uncertainty in high-tech supply chains. Proceedings of the winter simulation conference (WSC), 2015, IEEE, 1–10.
403. de Kok, A.G., Fransoo, J.C., Planning supply chain operations: definition and comparison of planning concepts. de Kok, A.G., Graves, S.C., (eds.) Handbooks in operations research and management science, 11, 2003, Elsevier, 597–675.
404. de Kok, A.G., Janssen, F., van Doremalen, J., van Wachem, E., Clerkx, M., Peeters, W., Philips electronics synchronizes its supply chain to end the bullwhip effect. Interfaces 35:1 (2005), 37–48.
405. Denyer, D., Trenfield, D., Producing a systematic review. The SAGE handbook of organizational research methods, 2009, SAGE Publication Limited.
406. Diks, E.B., de Kok, A.G., Lagodimos, A.G., Multi-echelon systems: A service measure perspective. European Journal of Operational Research 95:2 (1996), 241–263.
407. Dyckhoff, H., A typology of cutting and packing problems. European Journal of Operational Research 44:2 (1990), 145–159.
408. Eruguz, A.S., Sahin, E., Jemai, Z., Dallery, Y., A comprehensive survey of guaranteed-service models for multi-echelon inventory optimization. International Journal of Production Economics 172 (2016), 110–125.
409. Federgruen, A., Centralized planning models for multi-echelon inventory systems under uncertainty. Graves, S., Rinnooy Kan, A., Zipkin, P., (eds.) Handbooks in operations research and management science, 4, 1993, Elsevier, 133–173.
410. Gümüs, A.T., Güneri, A.F., Multi-echelon inventory management in supply chains with uncertain demand and lead times: Literature review from an operational research perspective. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 221:10 (2007), 1553–1570.
411. Graham, R.L., Lawler, E.L., Lenstra, J.K., Kan, A.R., Optimization and approximation in deterministic sequencing and scheduling: A survey. Annals of Discrete Mathematics 5 (1979), 287–326.
412. Graves, S.C., Willems, S.P., Supply chain design: safety stock placement and supply chain configuration. de Kok, A.G., Graves, S.C., (eds.) Handbooks in operations research and management science, 11, 2003, Elsevier, 95–132.
413. Jansen, M.M., de Kok, A.G., Fransoo, J.C., Lead time anticipation in supply chain operations planning. OR Spectrum 35:1 (2013), 251–290.
414. Kendall, D.G., Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain. The Annals of Mathematical Statistics, 1953, Institute of Mathematical Statistics, 338–354.
415. Simchi-Levi, D., Zhao, Y., Performance evaluation of stochastic multi-echelon inventory systems: A survey. Advances in Operations Research, 2012, 2012 Article ID 126254, 34 pages.
416. Song, J.-S., Zipkin, P., Supply chain operations: Assemble-to-order systems. de Kok, A.G., Graves, S.C., (eds.) Handbooks in operations research and management science, 11, 2003, Elsevier, 561–596.
417. van Houtum, G., Inderfurth, K., Zijm, W.H., Materials coordination in stochastic multi-echelon systems. European Journal of Operational Research 95:1 (1996), 1–23.
418. Wang, X., Disney, S.M., The bullwhip effect: Progress, trends and directions. European Journal of Operational Research 250:3 (2016), 691–701.
419. Wäscher, G., Haußner, H., Schumann, H., An improved typology of cutting and packing problems. European Journal of Operational Research 183:3 (2007), 1109–1130.