Periodic Review Inventory Systems

Lecture Notes in Economics and Mathematical Systems

Volumn 651, Issue , 2011, Pages

  Wensing, Thomas ^a  

^a CATHOLIC UNIVERSITY OF EICHSTÄTT INGOLSTADT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84870604768     PISSN: 00758442     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-20479-1     Document Type: Article

References (190)

1. Aggarwal, S. (1974). A review of current inventory theory and its application. International Journal of Production Research, 12(4):443-482.
2. Agrawal, V. and Seshadrin, S. (2000). Distribution free bounds for service constrained (q, r) inventory systems. Naval Research Logistics, 36(8):635-656.
3. Akinniyi, F. and Silver, E. (1981). Inventory control using a service constraint on the expected duration of stockouts. AIIE Transactions, 13(4):343-348.
4. Archibald, B. (1981). Continuous review (s,S) policies with lost sales. Management Science, 27(10):1171-1177.
5. Archibald, B. and Silver, E. (1978). (s,S) policies under continuous review and discrete compound poisson demand. Management Science, 24(9):899-909.
6. Arrow, K., Harris, T., and Marshak, J. (1951). Optimal inventory policy. Econometrica, 19(3): 250-272.
7. Atkins, D. and Iyogun, P. (1988). Periodic versus can-order policies for coordinated multi-item inventory systems. Management Science, 34(6):791-796.
8. Axsäter, S. (2006). Inventory Control. Springer, New York, 2nd edition.
9. Bagchi, U., Hayya, J., and Ord, J. (1984). Modeling demand during lead time. Decision Sciences, 15(2):157-176.
10. Bashyam, S. and Fu, M. C. (1998). Optimization of (s, S) inventory systems with random lead times and a service level constraint. Management Science, 44(12/2):175-190.
11. Bather, J. (1966). A continuous time inventory model. Journal of Applied Probability, 3(2): 538-549.
12. Beckmann, M. (1962). An inventory model for arbitrary interval and quantity distributions of demand. Management Science, 8(1):35-57.
13. Bell, C. (1970). Improved algorithms for inventory and replacement-stocking problems. SIAM Journal on Applied Mathematics, 18(3):558-566.
14. Benkherouf, L. (2008). On the optimality of (s,S) inventory policies: a quasivariational approach. Journal of Applied Mathematics and Stochastic Analysis, 2008:1-9.
15. Bensoussan, A., Liu, R., and Sethi, S. (2006). Optimality of an (s,S) policy with compound poisson and diffusion demands: a QVI approach. SIAM Journal on Control and Optimization, 44(5):1650-1676.
16. Berk, E. and Gürler, Ü. (2008). Analysis of the (q, r) inventory model for perishables with positive lead times and lost sales. Operations Research, 56(5):1238-1246.
17. Boyaci, T. and Gallego, G. (2001). Minimizing holding and ordering costs subject to a bound on backorders is as easy as solving a single backorder cost model. Operations Research Letters, 29(4):187-192.
18. Boyaci, T. and Guillermo, G. (2002). Managing waiting times of backordered demands in single stage (q,r) inventory systems. Naval Research Logistics, 49(6):557-573.
19. Boylan, J. and Johnston, F. (1994). Relationships between service level measures for inventory systems. Journal of the Operational Research Society, 45(7):838-844.
20. Bradley, J. and Robinson, L. (2005). Improved base-stock approximations for independent stochastic lead times with order crossover. Manufacturing and Service Operations Management, 7(4):319-329.
21. Brooking, S. (1987). Inventory system costs: Source data for analysis. Engineering Costs and Production Economics, 13(1):1-12.
22. Browne, S. and Zipkin, P. H. (1991). Inventory models with contiuous stochastic demands. The Annals of Applied Probability, 1(3):419-435.
23. Burden, R. and Faires, J. (2005). Numerical Analysis. Brooks Cole, Pacific Grove, 8th edition.
24. Cardós, M., Miralles, C., and Ros, L. (2006). An exact calculation of the cycle service level in a generalized periodic review system. Journal of the Operational Research Society, 57(10):1252-1255.
25. Charnes, J. M., Marmorstein, H., and Zinn, W. (1995). Safety stock determination with serially correlated demand in a periodic-review inventory system. Journal of the Operational Research Society, 46(8):1006-1013.
26. Chen, F. (2000). Optimal policies for multi-item echelon inventory policies with batch ordering. Operations Research, 48(3):376-389.
27. Chen, F. and Krass, D. (2001). Inventory models with minimal service level constraints. European Journal of Operational Research, 134(1):120-140.
28. Chen, F. and Zheng, Z.-S. (1992). Waiting time distribution in (t,s) inventory systems. Operations Research Letters, 12(3):145-151.
29. Chiang, C. (2006). Optimal ordering policies for periodic-review systems with replenishment cycles. European Journal of Operational Research, 170(1):44-46.
30. Chiang, C. (2007). Optimal ordering policies for periodic-review systems with a refined intra-cycle time scale. European Journal of Operational Research, 177(2):872-881.
31. Chung, F., Graham, R., Hoggatt, V., and Kleiman, M. (1978). The number of Baxter permutations. Journal of Combinatorical Theory Series A, (24):382-394.
32. Clark, A. and Scarf, H. (1960). Optimal policies for a multi-echelon inventory problem. Management Science, 6(4):475-490.
33. Cohen, M. A., Kleindorfer, P. R., and Lee, H. L. (1989). Near-optimal service constrained stocking policies for spare parts. Operations Research, 37(1):104-117.
34. Cohen, M. A., Kleindorfer, P. R., Lee, H. L., and Pyke, D. F. (1992). Multi-item service constrained (s, S) policies for spare parts logistics systems. Naval Research Logistics, 39(4):561-577.
35. Das, C. (1976). Approximate solution to the (q,r) inventory model for Gamma lead time demand. Management Science, 22(9):1043-1047.
36. Das, C. (1977). The (S-1,S) inventory model under time limit on backorders. Operations Research, 25(5):835-850.
37. Das, C. (1983). Q,r inventory models with time-weighted backorders. Journal of the Operational Reserch Society, 34(5):401-412.
38. Davis, P. J. and Rabinowitz, P. (1984.). Methods of Numerical Integration. Academic Press, New York, 2nd edition.
39. Dominey, M. and Hill, R. (2004). Performance of approximations for compound Poisson distributed demand in the newsboy problem. International Journal of Production Economics, 92(2):145-155.
40. Dunsmuir, W. T. M. and Snyder, R. (1989). Control of inventories with intermittent demand. European Journal of Operational Research, 40(1):16-21.
41. Dvoretzky, A., Kiefer, J., and J. Wolfowitz (1953). On the optimal character of the (S,s) policy in inventory theory. Econometrica, 21(4):586-596.
42. Ehrhardt, R. (1979). The power approximation for computing (s,S) inventory policies. Management Science, 25(8):777-786.
43. Ehrhardt, R. (1984). (s,S) policies for a dynamic inventory model with stochastic lead times. Operations Research, 32(1):121-132.
44. Ehrhardt, R. and Mosier, C. (1984). A revision of the power approximation for computing (s, S) policies. Management Science, 30(5):618-622.
45. Eppen, G. and Martin, R. (1988). Determining safety stock in the presence of stochastic lead time and demand. Management Science, 34(11):1380-1390.
46. Federgruen, A. and Katalan, Z. (1994). Approximating queue size and waiting time distributions in general polling systems. Queueing Systems, 18(3-4):353-386.
47. Federgruen, A. and Zheng, Y. (1992). An efficient algorithm for computing an optimal (r,q) policy in continuous review stochastic inventory systems. Operations Research, 40(4):808-813.
48. Federgruen, A. and Zipkin, P. H. (1984a). Computational issues in an infinite-horizon, multiechelon inventory model. Operations Research, 32(4):818-836.
49. Federgruen, A. and Zipkin, P. H. (1984b). An efficient algorithm for computing optimal (s,S) policies. Operations Research, 32(6):1268-1285.
50. Feeney, G. and Sherbrooke, C. (1966). The (S-1,S) inventory policy under compound poisson demand. Management Science, 12(6):391-411.
51. Feng, Q., Sethi, S., Yan, H., and Zhang, H. (2006a). Are base-stock policies optimal in inventory problems with multiple delivery modes? Operations Research, 54(4):801-807.
52. Feng, Q., Sethi, S., Yan, H., and Zhang, H. (2006b). Optimality and nonoptimality of the base stock policy in inventory problems with multiple delivery modes. Journal of Industrial and Management Optimization, 2(1):19-42.
53. Feng, Y. and Xiao, B. (2000). A new algorithm for computing optimal (s,S) policies in a stochastic single item/location inventory system. IIE Transaction, 32(11):1081-1090.
54. Fischer, L. (2008). Bestandsoptimierung f ür das Supply Chain Management. Books on Demand GmbH, Norderstedt.
55. Fong, D., Gempesaw, V., and Ord, J. (2000). Analysis of a dual sourcing inventory model with normal unit demand and Erlang mixture lead times. European Journal of Operational Research, 120(1):97-107.
56. Freeland, J. and Porteus, E. (1980). Evaluating the effectiveness of a new method for computing approximately optimal (s, S) inventory policies. Operations Research, 28(2):353-364.
57. Fung, R., Ma, X., and Lau, H. (2001). (t,s) policy for coordinated inventory replenishment systems under compound Poisson demands. Production planning and control, 12(6):575-583.
58. Gallego, G. (1998). New bounds and heuristics for (q,r) policies. Management Science, 44(2): 219-233.
59. Galliher, H., Morse, P., and Simond, M. (1959). Dynamics of two classes of continuous review inventory systems. Operations Research, 7(3):362-384.
60. Hacking, I. (2001). An introduction to probability and inductive logicy. Cambridge University Press, Cambridge.
61. Hacking, I. (2006). The Emergence of Probability. Cambridge University Press, Cambridge, 2nd edition.
62. Hadley, G. and Whitin, T. M. (1963). Analysis of Inventory Systems. Prentice Hall, Englewood Cliffs, N.J.
63. Hadley, G. and Whitin, T. M. (1962). A family of dynamic inventory models. Management Science, 8(4):458-469.
64. Haehling von Lanzenauer, C. (1988). Service-level constraints measuring shortages during a fiscal period: the normal distribution. The Journal of the Operational Research Society, 39(3): 299-304.
65. Haehling von Lanzenauer, C. and Hamidi-Noori, A. (1986). Fiscal period based service level constraints and safety stock requirements. International Journal of Production Research, 24(3):483-492.
66. Hausman, W., Lee, H., and Zhang, A. (1998). Joint demand fulfillment probability in a multi-item inventory system with independent order-up-to policies. European Journal of Operational Research, 109(3):646-659.
67. Hayya, J., Bagchi, U., Kim, J., and Sun, D. (2008). On static stochastic order crossover. International Journal of Production Economics, 114(1):404-413.
68. Hayya, J., Xu, S., Ramasesh, R., and He, X. (1995). Order crossover in inventory systems. Stochastic Models, 11(2):279-309.
69. He, X., Kim, J., and Hayya, J. (2005). The cost of lead-time variability: The case of the exponential distribution. International Journal of Production Economics, 97(2):130-142.
70. He, X., Xu, S., Ord, K., and Hayya, J. (1998). An inventory model with order crossover. Operations Research, 46(3):S112-S119.
71. Heuts, R. and de Klein, J. (1995). An (s, q) inventory model with stochastic and interrelated lead times. Naval Research Logistics, 42(5):839-859.
72. Higa, I., Feyerherm, A., and Machado, A. (1975). Waiting time in an (S-1,S) inventory system. Operations Research, 23(4):674-680.
73. Hill, R. (1999). On the suboptimality of (S-1, S) lost sales inventory policies. International Journal of Production Economics, 59:387-393.
74. Hollier, R. and Vrat, P. (1978). A proposal for classification of inventory systems. Omega, 6(3):277-279.
75. Hordijk, A. and van der Duyn Schouten, F. (1986). On the optimality of (s,S)-policies in continuous review inventory models. SIAM Journal on Applied Mathematics, 46(5):912-929.
76. Iglehart, D. (1963). Optimality of (s,S) policies in the infinite horizon dynamic inventory problem. Management Science, 9(2):259-267.
77. Iyer, A. and Schrage, L. (1992). Analysis of the deterministic (s,S) inventory problem. Management Science, 38(9):1299-1313.
78. Janssen, F., Heuts, R., and de Kok, T. (1998). On the (R, s, Q) inventory model when demand is modelled as compound Bernoulli process. European Journal of Operational Research, 104(3):423-436.
79. Johansen, S. and Hill, R. (2000). The (r,Q) control of a periodic-review inventory system with continuous demand and lost sales. International Journal of Production Economics, 68(3): 279-286.
80. Johansen, S. and Thorstenson, A. (1993). Optimal and approximate (Q, r) inventory policies with lost sales and Gamma-distributed lead time. International Journal of Production Economics, 30-31(1):179-194.
81. Johansen, S. and Thorstenson, A. (1996). Optimal (r, Q) inventory policies with Poisson demands and lost sales: discounted and undiscounted cases. International Journal of Production Economics, 46-47:359-371.
82. Johnson, E. (1967). Optimality and computation of policies in the multi item-infinite horizon inventory problem. Management Science, 13(7):475-491.
83. Johnson, E. (1968). On (s,S) policies. Management Science, 15(1):80-101.
84. Johnson, M. E., Lee, H. L., Davis, T., and Hall, R. (1995). Expressions for item fill rates in periodic inventory systems. Naval Research Logistics, 42(1):57-80.
85. Johnson, N., Kotz, S., and Balakrishnan, N. (1994). Continuous Univariate Distributions Volume 1. Wiley, New York, 2nd edition.
86. Kalin, D. (1980). On the optimality of policies. Mathematics of Operations Research, 5(2):475-491.
87. Kalpakam, S. and Sapna, K. (1994). Continuous review (s, S) inventory system with random lifetimes and positive leadtimes. Operations Research Letters, 16(2):115-119.
88. Kaplan, R. (1970). A dynamic inventory model with stochastic lead times. Management Science, 16(7):491-507.
89. Karlin, S. (1958). One stage inventory models with uncertainty. In Arrow, K., Karlin, S., and Scarf, H., editors, Studies in the Mathematical Theory of Inventory and Production. Stanford University Press, Stanford.
90. Karlin, S. (1960). Dynamic inventory policy with varying stochastic demands. Management Science, 6(3):231-258.
91. Kelle, P. and Silver, E. (1990). Safety stock reduction by order splitting. Naval Research Logistics, 37(5):725-743.
92. Kiesmüller, G. and de Kok, A. (2006). The customer waiting time in an (R, s, Q) inventory system. International Journal of Production Economics, 104:354-364.
93. Kim, D. and Park, K. (1985). (Q, r) inventory model with a mixture of lost sales and time-weighted backorders. Journal of the Operational Research Society, 36(3):231-238.
94. Knuth, D. E. (1997). The Art of Programming, Volume 3: Sorting and Searching. Adisson Wesley, Reading.
95. Krishnamoorthy, A. and Islam, M. (2004). (s,S) inventory system with postponed demands. Stochastic Analysis and Applications, 22(3):827-842.
96. Kruse, W. (1980). Waiting time in an S-1,S inventory system with arbitrarily distributed lead times. Operations Research, 28(2):348-352.
97. Kruse, W. (1981). Waiting time in a continuous-review (S-1,S) inventory system with constant lead time. Operations Research, 29(1):202-207.
98. Küenle, C. and Küenle, H. (1977). Durchschnittsoptimale Strategien in Markovschen Entschei dungsmodellen bei unbeschränkten Kosten. Optimization, 8(4):549-564.
99. Larsen, C. and Thorstenson, A. (2008). A comparison between the order and the volume fill rate for a base-stock inventory control system under a compound renewal demand process. Journal of the Operational Research Society, 59(6):798-804.
100. Larson, C. and Kiesmüller, G. (2007). Developing a closed-form cost expression for an (r, s, nq) policy where the demand process is compound generalized Erlang. Operations Research Letters, 35:567-572.
101. Lee, H. and Nahmias, S. (1993). Single-product, single-location models. In Graves, S., Kan, A. R., and Zipkin, P. H., editors, Handbooks in Operations Research and Management Science, Volume 4: Logistics of Production and Inventory. North-Holland, Amsterdam.
102. Lee, H.-S. (1995). On continuous review stochastic (s,S) inventory systems with ordering delays. Computers and Industrial Engineering, 28(4):763-771.
103. Liberatore, M. (1979). The EOQ model under stochastic lead time. Operations Research, 27(2):391-396.
104. Liu, L. (1990). (s,S) continuous review models for inventory with random lifetimes. Operations Research Letters, 9(3):161-167.
105. Merlini, D. and Verri, M. C. (2000). Generating trees and proper Riordan arrays. Discrete Mathematics, 218(1-3):167-183.
106. Meyn, S. and Tweedie, R. (2009). Markov Chains and Stochastic Stability. Cambridge University Press, Cambridge, 2nd edition.
107. Minner, S. (2003). Multiple-supplier inventory models in supply chain management: A review. International Journal of Production Economics, 81-82:265-279.
108. Moors, J. J. A. and Strijbosch, L. W. G. (2002). Exact fill rates for (R, s, S) inventory control with Gamma distributed demand. Journal of the Operational Research Society, 53(11):1268-1274.
109. Morton, T. (1978). The non-stationary infinite horizon inventory problem. Management Science, 24(14):1474-1482.
110. Naddor, E. (1975). Optimal and heuristic decisions in single and multi-item inventory systems. Management Science, 21(11):1234-1249.
111. Nahmias, S. (1979). Simple approximations for a variety of dynamic leadtime lost-sales inventory models. Operations Research, 27(5):904-924.
112. Norman, J. M. and White, D. J. (1968). A method for approximate solutions to stochastic dynamic programming problems using expectations. Operations Research, 16(2):296-306.
113. Ord, J. and Bagchi, U. (1983). The truncated normal-Gamma mixture as a distribution for lead time demand. Naval Research Logistics, 30(2):359-365.
114. Pam, A., Ramasesh, R., Hayya, J., and Ord, J. (1991). Multiple sourcing: The determination of lead times. Operations Research Letters, 10(1):1-7.
115. Porteus, E. (1971). On the optimality of generalized (s,S) policies. Management Science, 17(7):411-426.
116. Porteus, E. (1972). The optimality of generalized (s,S) policies under uniform demand densities. Management Science, 18(11):644-646.
117. Porteus, E. (1985). Numerical comparisons of inventory policies for periodic review systems. Operations Research, 33(1):134-152.
118. Prasad, S. (1994). Classification of inventory models and systems. International Journal of Production Economics, 34(2):209-222.
119. Ramasesh, R., Ord, J., Hayya, J., and Pan, A. (1991). Sole versus dual sourcing in stochastic lead-time (s,q) inventory models. Management Science, 37(4):428-443.
120. Rao, U. (2003). Properties of the periodic review (r,t) inventory control policy for stationary stochastic demand. Manufacturing and Service Operations Management, 5(1):37-53.
121. Riezebos, J. (2006). Inventory order crossovers. International Journal of Production Economics, 104(2):666-675.
122. Robinson, L., Bradley, J., and Thomas, L. (2001). Consequences of order crossover under order up-to inventory policies. Manufacturing & Service Operations Management, 3(3):175-188.
123. Robinson, L. and Bradley, R. (2008). Further improvements on base-stock approximations for independent stochastic lead times with order crossover. Manufacturing & Service Operations Management, 10(2):325-327.
124. Ronen, D. (1982). Measures of product availability. Journal of Business Logistics, 3(1):45-58.
125. Ross, M. (2006). Introduction to Probability Models. 9 edition.
126. Sahin, I. (1982). On the objective function behavior in (s,S) inventory models. Operations Research, 30(4):709-724.
127. Sahin, I. (1988). Optimality conditions for regenerative inventory systems under batch demands. Applied Stochastic Models and Data Analysis, 4(3):173-183.
128. Sahin, I. and Kilari, P. (1984). Performance of an approximation to continuous review (S,s) policies under compound renewal demand. International Journal of Production Research, 22(6):1027-1032.
129. Sahin, I. and Sinha, D. (1987). Renewal approximation to optimal order quantity for a class of continuous-review inventory systems. Naval Research Logistics, 34(5):655-667.
130. Sani, B. and Kingsman, B. (1997). Selecting the best periodic inventory control and demand forcasting methods for low demand items. Journal of the Operational Research Society, 48(7):700-713.
131. Scarf, H. (1960). The optimaltity of (s,S) policies in the dynamic inventory problem. In Arrow, K., Karlin, S., and Suppes, P., editors, Mathematical Methods in the Social Sciences. Stanford University Press, Stanford.
132. Schäl, M. (1976). On the optimality of (s,S)-policies in dynamic inventory models with finite horizon. SIAM Journal on Applied Mathematics, 30(3):528-537.
133. Schneider, H. (1978). Methods for determining the re-order point of an (s,S) ordering policy when a service level is specified. Journal of the Operational Research Society, 29(12):1181-1193.
134. Schneider, H. (1981). Effect of service-levels on order-points or order-levels in inventory models. International Journal of Production Research, 19(6):615-631.
135. Schneider, H. and Ringuest, J. L. (1990). Power approximation for computing (s, S) policies using service level. Management Science, 36(7):822-834.
136. Sculli, D. and Shum, Y. (1990). Analysis of a continuous review stock-control model with multiple suppliers. Journal of the Operational Research Society, 41(9):873-877.
137. Sculli, D. and Wu, S. (1981). Stock control with two suppliers and normal lead times. Journal of the Operational Research Society, 32:1003-1009.
138. Sethi, S. and Cheng, F. (1997). Optimality of (s,S) policies in inventory models with markovian demand. Operations Research, 45(6):931-939.
139. Sherbrooke, C. (1975). Waiting time in an (S-1,S) inventory system - constant service time case. Operations Research, 23(4):819-820.
140. Silver, E. (1981). Operations research in inventory management: A review and critique. Operations Research, 29(4):628-645.
141. Silver, E. (2008). Inventory management: An overview, canadian publications, practical applications and suggestions for future research. INFOR, 46(1):15-28.
142. Silver, E., Pyke, D., and Peterson, R. (1998). Inventory Management and Production Planing and Scheduling. Wiley, New York, 3rd edition.
143. Silver, E. A., Naseraldin, H., and Bischak, D. P. (2009). Determining the reorder point and order up-to-level in a periodic review system so as to achieve a desired fill rate and a desired average time between replenishments. Journal of the Operational Research Society, 60(9):1244-1253.
144. Smith, A. (1977). Optimal inventories for an (S-1,S) system with no backorders. Management Science, 23(5):522-528.
145. Song, J.-S., Zhang, H., Hou, Y., and Wang, M. (2010). The effect of lead time and demand uncertainties in (r, q) inventory systems. Operations Research, 58(1):68-80.
146. Song, J.-S. and Zipkin, P. H. (1996). The joint effect of leadtime variance and lot size in a parallel processing environment. Management Science, 42(9):1352-1363.
147. Sphicas, G. (1982). On the solution of an inventory model with variable lead times. Operations Research, 30(2):404-410.
148. Sphicas, G. and Nasri, F. (1984). An inventory model with finite-range stochastic lead times. Naval Research Logistics Quarterly, 31(4):609-616.
149. Strichartz, R. S. (2003). A Guide to Distribution Theory and Fourier Transforms. 2 edition.
150. Strijbosch, L. W. G. and Moors, J. J. A. (2005). The impact of unknown demand parameters on (R,S)-inventory control performance. European Journal of Operational Research, 162(3): 805-815.
151. Strijbosch, L. W. G. and Moors, J. J. A. (2006). Modified normal demand distributions in (R,S) inventory control. European Journal of Operational Research, 172(1):201-212.
152. Suchanek, B. (1996). Sicherheitsbest ände zur Einhaltung von Servicegraden. Europäischer Verlag der Wissenschaften, Frankfurt am Main.
153. Svoronos, A. and Zipkin, P. H. (1988). Estimating the performance of multi-level inventory systems. Operations Research, 36(1):57-72.
154. Tempelmeier, H. (1985). Inventory control using a service constraint on the expected customer order waiting time. European Journal of Operational Research, 19(3):313-323.
155. Tempelmeier, H. (2000). Inventory service-levels in the customer supply chain. OR Spektrum, 22(3):361-380.
156. Tempelmeier, H. (2006). Inventory Management in Supply Networks. Books on Demand GmbH, Norderstedt.
157. Tempelmeier, H. and Fischer, L. (2010). Approximation of the probability distribution of the customer waiting time under an (r, s, q) inventory policy in discrete time. International Journal of Production Research, 48(21):6275-6291.
158. Teunter, R. H. (2009). Note on the fill rate of single-stage general periodic review inventory systems. Operations Research Letters, 37(1):67-68.
159. Tijms, H. and Groenevelt, H. (1984). Simple approximations for the reorder point in periodic and continuous review (s,S) inventory systems with service level constraints. European Journal of Operational Research, 17(2):175-190.
160. Tijms, H. C. (1994). Stochastic Models. Wiley, Chichester.
161. Titterington, D., Smith, A., and Makov, U. (1985). Statistical Analysis of Finite Mixture Distributions. Wiley, New York.
162. van Beek, P. (1981). Modelling and analysis of a multi-echelon inventory system. European Journal of Operational Research, 6(4):380-385.
163. van der Heijden, M. C. and de Kok, A. G. (1992). Customer waiting times in an (R,S) inventory system with compound poisson demand. ZOR - Methods and Models of Operation Research, 36(4):315-332.
164. van der Heijden, M. C. and de Kok, A. G. (1998). Estimating stock levels in periodic review inventory systems. Operations Research Letters, 22:179-182.
165. van der Veen, B. (1981). Safety stocks - an example of theory and practice in O.R. European Journal of Operational Research, 6(4):367-371.
166. van der Veen, B. (1984). Safety stocks and the paradox of the empty period. European Journal of Operational Research, 16(1):19-33.
167. van der Veen, B. (1986). Safety stocks and the order quantity that leads to the minimal stock. European Journal of Operational Research, 27(1):34-49.
168. Vatter, V. (2008). Enumeration schemes for restricted permutations. Combinatorics, Probability and Computing, 17(1):137-159.
169. Veinott, A. (1965). The optimal inventory policy for batch ordering. Operations Research, 13(3):424-432.
170. Veinott, A. (1966). On the optimality of (s,S) inventory policies: new conditions and a new proof. SIAM Journal on Applied Mathematics, 14(5):1067-1083.
171. Veinott, A. and Wagner, H. (1965). Computing optimal (s,S) inventory policies. Management Science, 11(5):525-552.
172. Wagner, H., O'Hagen, M., and Lundh, B. (1965). An empirical study of exactly and approximately optimal inventory policies. Management Science, 11(7):690-723.
173. Washburn, A. (1973). A bi-modal inventory study with random lead times. Technical Report AD769404, Naval Postgraduate School, Monterey, California.
174. Weiss, H. (1980). Optimal ordering policies for continuous review perishable inventory models. Operations Research, 28(2):365-374.
175. Weiss, H. (1988). Sensitivity of continuous review stochastic (s, S) inventory systems to ordering delays. European Journal of Operational Research, 36(2):174-179.
176. West, J. (1995). Generating trees and the Catalan and Schröder numbers. Discrete Mathematics, 146(1-3):247-262.
177. West, J. (1996). Generating trees and forbidden subsequences. Discrete Mathematics, 157(1-3):363-374.
178. Wijngaard, I. and van Winkel, E. (1979). Average costs in a continuous review (s,S) inventory system with exponentially distributed lead time. Operations Research, 27(2):396-401.
179. Yano, C. (1985). New algorithms for (Q,r) systems with complete backordering using a fill-rate criterion. Naval Research Logistics Quarterly, 32(4):675-688.
180. Zalkind, D. (1976). Further results for order-level inventory systems with independent stochastic leadtimes. Technical Report 76-6, Department of Health Administration and Curriculum in Operations Research and Systems Analysis, University of North Carolina at Chapel Hill, Chapel Hill, NC.
181. Zalkind, D. (1978). Order-level inventory systems with independent stochastic lead times. Management Science, 24(13):1385-1392.
182. Zhang, J. and Zhang, J. (2007). Fill rate of single-stage general periodic review inventory systems. Operations Research Letters, 35(4):503-509.
183. Zhang, R., Hopp, W., and Supatgiat, C. (2001). Spreadsheet implementable inventory control for a distribution center. Journal of Heuristics, 7(2):185-203.
184. Zheng, Y. (1991). A simple proof for optimality of (s,S) policies in infinite-horizon inventory systems. Journal of Applied Probability, 28(4):802-810.
185. Zheng, Y. and Federgruen, A. (1991). Finding optimal (s,S) policies is about as simple as evaluating a single policy. Operations Research, 39(4):654-665.
186. Zheng, Y.-S. and Chen, F. (1992). Inventory policies with quantized ordering. Naval Research Logistics, 39(3):285-305.
187. Zinn, W., Mentzer, J., and Croxton, K. (2002). Customer-based measures of inventory availability. Journal of Business Logistics, 23(2):19-43.
188. Zipkin, P. H. (1986a). Inventory service-level measures: convexity and approximation. Managment Science, 32(8):975-981.
189. Zipkin, P. H. (1986b). Stochastic leadtimes in continuous-time inventory models. Naval Research Logistics Quarterly, 33(4):763-774.
190. Zipkin, P. H. (2000). Foundations of Inventory Management. McGraw-Hill, Boston.