Optimal solutions for a multi-product, multi-echelon production and replenishment system

International Journal of Information Systems and Supply Chain Management

Volumn 2, Issue 2, 2009, Pages 62-72

  Torres, Fidel ^a   Mejía, Gonzalo ^a  

^a UNIVERSIDAD DE LOS ANDES   (Colombia)

Author keywords

Coordinated replenishment; Multi echelon inventory systems; Supply chain

Indexed keywords

EID: 84861870807     PISSN: 19355726     EISSN: 19355734     Source Type: Journal    
DOI: 10.4018/jisscm.2009040105     Document Type: Article

References (47)

1. Abdul-Jalbar, B.; Gutiérrez J. M.; & Sicilia J. (2006). Single cycle policies for the one-warehouse N-retailer inventory/distribution system. Omega, 34 196-208. (Pubitemid 41600576)
2. Axsäter, S.; & Juntti, L. (1996) Comparison of echelon stock and installation stock policies for two-level inventory systems. International Journal of Production Economics, 45(1-3), 303-310. (Pubitemid 126389432)
3. Axsäter, S. (1997). Simple evaluation of echelon stock (R, Q) policies for two-level inventory systems, IIE Transactions, 9, 661-669.
4. Axsäter, S. (2005). A simple decision rule for decentralized two-echelon inventory control. International Journal of Production Economics, 93-94, (8) 53-59.
5. Banerjee, A. (1986). A joint economic lot size model for purchaser and vendor. Decision Sciences, 17, 292-311.
6. Blackburn, J.D.; & Millen, R.A. (1982). Improved heuristics for multi-stage requirements planning systems. Management Science, 28, 44-56.
7. Chen, F.; & Zheng, Y. (1994). Evaluating echelon stock (r, nq) policies in serial production/inventory systems with stochastic demand. Management Science, 40, 1262-1275.
8. Chen, F.; & Zheng, Y. (1998). Near-optimal echelon stock (r;nq) policies in multi-stage serial systems. Operations Research 46, 592-602. (Pubitemid 128665766)
9. Clark, A.J.; & Scarf, H. (1960) H. Optimal policies for a multi-echelon inventory problem. Management Science, 6, 475-490.
10. Clark, A.J.; & Scarf, H. (1962). Approximate solutions to a simple multi-echelon inventory problem, in: K.J. Arrow, S. Karlin and H. Scarf (eds), Studies in Applied Probability and Management Science, Stanford University Press, Stanford, CA, 51-69.
11. Crowston, W.B.; Wagner, M.H.; & Henshaw, A. (1972). A comparison of exact and heuristic routines for lot size determination in multi-stage assembly systems. AIIE Transactions, 4, 313-317.
12. Crowston, W.B.; & Wagner, M.H. (1973). Dynamic lot size models for multi-stage assembly systems. Management Science, 20, 14-21.
13. Crowston, W.B.; Wagner, M.H.; & Williams, J.F. (1973). Economic lot size determination in multistage assembly systems. Management Science, 19, 517-527.
14. Davis, S.G. (1990). Scheduling economic lot size production runs. Management Science, 36, 985-998.
15. Dobson, G. (1987). The economic lot-scheduling problem: Achieving feasibility using time-varying lot sizes. Operations Research, 35, 764-771. (Pubitemid 18580408)
16. Dobson, G. (1992). The cyclic lot scheduling problem with sequence-dependent setups. Operations Research, 40, 736-749. (Pubitemid 23581870)
17. Dobson, G.; & Yano, C.A. (1994). Cyclic scheduling to minimize inventory in a batch flow line. European Journal of Operational Research, 75(2), 441-461.
18. Elmaghraby, S. (1978). The economic lot scheduling problem (ELSP): Review and extensions. Management Science, 24, 578-598.
19. El-Najdawi, M. K. (1992). A compact heuristic for common cycle lot-size scheduling in multi-stage, multi-product production processes. International Journal of Production Economics, 27(1), 29-41.
20. El-Najdawi, M.K.; & Kleindorfer, P. (1993). Common cycle lot-size scheduling for multi-product, multi-stage production. Management Science, 39, 872-885.
21. Federgruen, A.; & Zypkin, P. (1984). Approximations of dynamic, multilocation production and inventory problems. Management Science, 30, 69-84. (Pubitemid 14531746)
22. Gallego, G. (1990). Scheduling the production of several items with random demands in a single facility. Management Science, 36, 1579-1592. (Pubitemid 21696001)
23. Gallego, G.; & Roundy, R. (1992). The economic lot scheduling problem with finite backorder costs. Naval Research Logistics Quarterly, 39, 729-739.
24. Goyal, S.K., (1977). An integrated inventory model for a single supplier-single customer problem. International Journal of Production Research, 15, 107-111.
25. Goyal, S.K., (1988). A joint economic-lot-size model for purchaser and vendor: A comment. Decision Sciences, 19, 236-241.
26. Goyal, S.K., (2000). On improving the single-vendor single-buyer integrated production inventory model with a generalized policy. European Journal of Operational Research, 125 (2), 429-430.
27. Graves, S.C.; & Schwarz, L.B. (1977). Single cycle continuous reviewpolicies for arborescent production/inventory systems. Management Science, 23, 529-540.
28. Graves, S.C. (1981) Multi-stage lot sizing: An iterative procedure, in: L.B. Schwarz(ed.), Multi-Level Production/Inventory Control Systems. Theory and Practice. North-Holland, New York, Chapter 4.
29. Hanssmann, F. (1962). Operations Research in Production and Inventory Control. Wiley, New York.
30. Jensen, P.A.; & Khan, H.A. (1972). Scheduling in a multi-stage production system with setup and inventory costs. AIIE Transactions, 4, 126-133.
31. Jones, P.; & Inman, R. (1989). When is the economic lot scheduling problem easy? IIE Transactions, 21, 11-20.
32. Kim, K.H.; & Hwang, H. (1989). Simultaneous improvement of supplier's profit and buyer's cost by utilizing quantity discounts. Journal of the Operational Research Society, 40(3), 255-256
33. Lal, R.; & Staelin, R. (1984). An approach for developing an optimal discount pricing policy. Management Science, 30, 1524-1539.
34. Lee, H.L.; & Rosenblatt, M.J. (1986). A generalized quantity discount pricing model to increase supplier's profits. Management Science, 1177-1185.
35. Love, S.F. (1972). A facilities in series inventory model with nested schedules. Management Science, 18, 327-338.
36. Lu, L. (1995). A one-vendor multi-buyer integrated inventory model. European Journal of Operational Research 81 (2), 312-323.
37. Maxwell, W. (1964). The scheduling of economic lot sizes. Naval Research Logistics Quarterly, 11, 89-124.
38. McLaren, B.J. (1976). A study of multiple level lot sizing techniques for material requirements Planning Systems, Unpublished Ph.D Dissertation, Purdue University, West Lafayette, IN.
39. Muckstadt, J.A.; & Roundy, R. (1987). Multi-item, one-warehouse, multi-retailer distribution systems. Management Science, 33(12), 1613-1621. (Pubitemid 18537147)
40. Rosling K., (1986). Optimal inventory policies for assembly systems under ransom demands. Operations Research, 37, 565-579.
41. Roundy, R. (1989). Rounding off to power of two in continuous relaxations of capacitated lot sizing problems. Management Science, 35, 1433-1442.
42. Schwarz, L.B. (1973). A simple continuous review deterministic one-warehouse N-retailer inventory problem. Management Science, 19, 555-566.
43. Sherbrooke, C. (1968). METRIC: A multi-echelon technique for recoverable item control. Operations Research, 16, 122-141.
44. Williams, J.F. (1981) Heuristic techniques for simultaneous scheduling of production and distribution in multi-echelon structures: Theory and empirical comparisons. Management Science, 27, 336-352.
45. Wee, H.M.; & Yang, P.C. (2004). The optimal and heuristic solutions of a distribution network. European Journal of Operational Research, 158 (2004) 626-632.
46. Zipkin P. (1991). Computing optimal lot sizes in the economic lot scheduling problem. Operations Research, 39, 56-63.
47. Zipkin P.H. (2000). Foundations of Inventory Management. McGraw-Hill.