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Coordinated Replenishments

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Inventory Control

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 26))

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Abstract

In Chapter 3 it was assumed that different items in an inventory could be controlled independently. We shall now leave this assumption and consider situations where there is a need to coordinate orders for different items. We shall still, as in Chapter 3, assume that the items are stocked at a single location. Multi-stage inventory systems are dealt with in Chapter 5. As in Chapter 3, we here consider traditional inventory costs and constraints, i.e., holding costs, ordering or setup costs, and backorder costs or service constraints.

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References

  • Axsäter, S. 1980. Economic Order Quantities and Variations in Production Load, International Journal of Production Research, 18, 359–365.

    Article  Google Scholar 

  • Axsäter, S. 1984. Lower Bounds for the Economic Lot Scheduling Problem Using Aggregation, European Journal of Operational Research, 17, 201–206.

    Article  Google Scholar 

  • Axsäter, S. 1986. Evaluation of Lot-Sizing Techniques, International Journal of Production Research, 24, 51–57.

    Article  Google Scholar 

  • Axsäter, S. 1987. An Extension of the Extended Basic Period Approach for Economic Lot Scheduling Problems, Journal of Optimization Theory and Applications, 52, 179–189.

    Article  Google Scholar 

  • Balintfy, J. L. 1964. On a Basic Class of Multi-Item Inventory Problems, Management Science, 10, 287–297.

    Article  Google Scholar 

  • Bertrand, J. W. M. 1985. Multiproduct Optimal Batch Sizes with In-Process Inventories and Multiwork Centers, HE Transactions, 17, 157–163.

    Google Scholar 

  • Billington, P. J., J. O. McClain, and L. J. Thomas. 1983. Capacity-Constrained MRP Systems, Management Science, 29, 1126–1141.

    Article  Google Scholar 

  • Bomberger, E. A. 1966. Dynamic Programming Approach to a Lot Size Scheduling Problem, Management Science, 12, 778–784.

    Article  Google Scholar 

  • Bowman, R. A., and J. A. Muckstadt. 1993. Stochastic Analysis of Cyclic Schedules, Operations Research, 41, 947–958.

    Article  Google Scholar 

  • Bowman, R. A., and J. A. Muckstadt. 1995. Production Control of Cyclic Schedules with Demand and Process Variability, Production and Operations Management, 4, 145–162.

    Article  Google Scholar 

  • Dobson, G. 1987. The Economic Lot-Scheduling Problem: Achieving Feasibility Using Time-Varying Lot Sizes, Operations Research, 35, 764–771.

    Article  Google Scholar 

  • Doll, C. L., and D. C. Whybark. 1973. An Iterative Procedure for the Single-Machine Multi-Product Lot Scheduling Problem, Management Science, 20, 50–55.

    Article  Google Scholar 

  • Elmaghraby, S. E. 1978. The Economic Lot Scheduling Problem (ELSP): Review and Extensions, Management Science, 24, 587–598.

    Article  Google Scholar 

  • Eppen, G. D., and R. K. Martin. 1987. Solving Multi-Item Capacitated Lot-Sizing Problems Using Variable Reduction, Operations Research, 35, 832–848.

    Article  Google Scholar 

  • Federgruen, A., H. Groenevelt, and H. Tijms. 1984. Coordinated Replenishments in a Multi-item Inventory System with Compound Poisson Demands, Management Science, 30, 344–357.

    Article  Google Scholar 

  • Federgruen, A., and Z. Katalan. 1996a. The Stochastic Economic Lot Scheduling Problem: Cyclical Base-Stock Policies with Idle Times, Management Science, 42, 783–796.

    Article  Google Scholar 

  • Federgruen, A., and Z. Katalan. 1996b. The Impact of Setup Times on the Performance of Multi-Class Service and Production Systems, Operations Research, 44,989–1001.

    Article  Google Scholar 

  • Gallego, G., and I. Moon. 1992. The Effect of Externalizing Setups in The Economic Lot Scheduling Problem, Operations Research, 40, 614–619.

    Article  Google Scholar 

  • Gallego, G., and R. Roundy. 1992. The Economic Lot Scheduling Problem with Finite Back-order Costs, Naval Research Logistics, 39, 729–739.

    Article  Google Scholar 

  • Goyal, S. K., and A. T. Satir. 1989. Joint Replenishment Inventory Control: Deterministic and Stochastic Models, European Journal of Operational Research, 38, 2–13.

    Article  Google Scholar 

  • Hsu, W. 1983. On the General Feasibility Test of Scheduling Lot Sizes for Several Products on One Machine, Management Science, 29, 93–105.

    Article  Google Scholar 

  • Jackson, P., W. Maxwell, and J. A. Muckstadt. 1985. The Joint Replenishment Problem with a Powers-of-Two Restriction, HE Transactions, 17, 25–32.

    Google Scholar 

  • Karmarkar, U. S. 1987. Lot Sizes, Lead Times and In-Process Inventories, Management Science, 33, 409–418.

    Article  Google Scholar 

  • Karmarkar, U. S. 1993. Manufacturing Lead Times, Order Release and Capacity Loading, in S. C. Graves et al. Eds. Handbooks in OR & MS Vol 4, North Holland Amsterdam, 287–329.

    Google Scholar 

  • Manne, A. S. 1958. Programming of Economic Lot Sizes, Management Science, 4, 115–135.

    Article  Google Scholar 

  • Muckstadt, J. A., and R. Roundy. 1993. Analysis of Multistage Production Systems, in S. C. Graves et al. Eds. Handbooks in OR & MS Vol. 4, North Holland Amsterdam, 59–131.

    Google Scholar 

  • Renberg, B., and R. Planche. 1967. Un Modele Pour La Gestion Simultanee Des n Articles D’un Stock, Revue Francaise d’Informatique et de Recherche Operationelle, 6, 47–59.

    Google Scholar 

  • Roundy, R. 1985. 98%-Effective Integer-Ratio Lot-Sizing for One-Warehouse Multi-Retailer Systems, Management Science, 31,1416–1430.

    Article  Google Scholar 

  • Roundy, R. 1986. 98%-Effective Lot-Sizing Rule for a Multi-Product Multi-Stage Production/Inventory System, Mathematics of Operations Research, 11, 699–729.

    Article  Google Scholar 

  • Roundy, R. 1989. Rounding Off to Powers of Two in Continuous Relaxations of Capacitated Lot Sizing Problems, Management Science, 35, 1433–1442.

    Article  Google Scholar 

  • Shapiro, J. F. 1993. Mathematical Programming Models and Methods for Production Planning and Scheduling, in S. C. Graves et al. Eds. Handbooks in OR & MS Vol. 4, North Holland Amsterdam, 371–443.

    Google Scholar 

  • Silver, E. A. 1981. Establishing Reorder Points in the (S, c, s) Coordinated Control System under Compound Poisson Demand, International Journal of Production Research, 9, 743–750.

    Article  Google Scholar 

  • Silver, E. A., D. Pyke, and R. Peterson. 1998. Inventory Management and Production Planning and Scheduling, 3rd edition, Wiley, New York.

    Google Scholar 

  • Viswanathan, S. 1997. Periodic Review (s, S) Policies for Joint Replenishment Inventory Systems, Management Science, 43, 1447–1454.

    Article  Google Scholar 

  • Vollman, T. E., W. L. Berry, and D. C. Whybark. 1997. Manufacturing Planning and Control Systems, 4th edition, Irwin, Boston.

    Google Scholar 

  • Wildeman, R. E., J. B. G. Frenk, and R. Dekker. 1997. An Efficient Optimal Solution Method for the Joint Replenishment Problem, European Journal of Operational Research, 99, 433–444.

    Article  Google Scholar 

  • Zipkin, P. H. 1986. Models for Design and Control of Stochastic, Multi-Item Batch Production Systems, Operations Research, 34, 91–104.

    Article  Google Scholar 

  • Zipkin, P. H. 1991. Computing Optimal Lot Sizes in the Economic Lot Scheduling Problem, Operations Research, 39, 56–63.

    Article  Google Scholar 

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© 2000 Springer Science+Business Media New York

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Axsäter, S. (2000). Coordinated Replenishments. In: Inventory Control. International Series in Operations Research & Management Science, vol 26. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-5606-7_4

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  • DOI: https://doi.org/10.1007/978-1-4757-5606-7_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-5608-1

  • Online ISBN: 978-1-4757-5606-7

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