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Deterministic Multi-Item Inventory Systems with Limited Capacity

Author

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  • Klaus Zoller

    (Universität Karlsruhe (TH))

Abstract

Available storage space frequently limits the aggregate stock level carried in multi-item inventory systems. In the deterministic case, the economic impact of storage capacity constraints may be reduced, and the utilization of the available facilities increased, by replenishment policies which include delivery schedules designed to avoid unnecessary clustering of order arrivals in the course of time. Under the assumption of a pure cycle reordering mode, simple expressions are derived for minimum storage space requirements and the associated optimal delivery schedules.

Suggested Citation

  • Klaus Zoller, 1977. "Deterministic Multi-Item Inventory Systems with Limited Capacity," Management Science, INFORMS, vol. 24(4), pages 451-455, December.
    • Handle: RePEc:inm:ormnsc:v:24:y:1977:i:4:p:451-455
    DOI: 10.1287/mnsc.24.4.451
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    Cited by:

    1. Kaijie Zhu & Ulrich W. Thonemann, 2009. "Coordination of pricing and inventory control across products," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(2), pages 175-190, March.
    2. D. Beyer & S. P. Sethi & R. Sridhar, 2001. "Stochastic Multiproduct Inventory Models with Limited Storage," Journal of Optimization Theory and Applications, Springer, vol. 111(3), pages 553-588, December.
    3. Murthy, Nagesh N. & Benton, W. C. & Rubin, Paul A., 2003. "Offsetting inventory cycles of items sharing storage," European Journal of Operational Research, Elsevier, vol. 150(2), pages 304-319, October.
    4. Beemsterboer, Bart & Teunter, Ruud & Riezebos, Jan, 2016. "Two-product storage-capacitated inventory systems: A technical note," International Journal of Production Economics, Elsevier, vol. 176(C), pages 92-97.
    5. Dorit S. Hochbaum & Xu Rao, 2019. "The Replenishment Schedule to Minimize Peak Storage Problem: The Gap Between the Continuous and Discrete Versions of the Problem," Operations Research, INFORMS, vol. 67(5), pages 1345-1361, September.
    6. Boctor, Fayez F., 2010. "Offsetting inventory replenishment cycles to minimize storage space," European Journal of Operational Research, Elsevier, vol. 203(2), pages 321-325, June.
    7. Fayez F. Boctor & Marie-Claude Bolduc, 2018. "The inventory replenishment planning and staggering problem: a bi-objective approach," 4OR, Springer, vol. 16(2), pages 199-224, June.
    8. Yao, Ming-Jong & Chu, Weng-Ming, 2008. "A genetic algorithm for determining optimal replenishment cycles to minimize maximum warehouse space requirements," Omega, Elsevier, vol. 36(4), pages 619-631, August.
    9. Sin-Hoon Hum & Moosa Sharafali & Chung-Piaw Teo, 2005. "Staggering Periodic Replenishment in Multivendor JIT Environments," Operations Research, INFORMS, vol. 53(4), pages 698-710, August.
    10. Haksever, Cengiz & Moussourakis, John, 2005. "A model for optimizing multi-product inventory systems with multiple constraints," International Journal of Production Economics, Elsevier, vol. 97(1), pages 18-30, July.
    11. Favaretto, Daniela & Pesenti, Raffaele & Ukovich, Walter, 2001. "Discrete frequency models for inventory management - an introduction," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 331-342, May.

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