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Trade-off between capacity invested and inventory needed

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  • Jodlbauer, Herbert
  • Altendorfer, Klaus

Abstract

A multi-item capacitated make-to-order production system with considerable demand fluctuations is discussed. The relationship between the available capacity and the inventory needed to meet customer requirements with a pre-defined service level is modeled. Furthermore, the total cost for both capacity and inventory is minimized and it is shown that, assuming negligible change-over times, the double of the surplus inventory cost has to be equal to the excess capacity cost to ensure minimum total cost.

Suggested Citation

  • Jodlbauer, Herbert & Altendorfer, Klaus, 2010. "Trade-off between capacity invested and inventory needed," European Journal of Operational Research, Elsevier, vol. 203(1), pages 118-133, May.
    • Handle: RePEc:eee:ejores:v:203:y:2010:i:1:p:118-133
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    References listed on IDEAS

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    1. Jodlbauer, H., 2008. "Customer driven production planning," International Journal of Production Economics, Elsevier, vol. 111(2), pages 793-801, February.
    2. Hanan Luss, 1982. "Operations Research and Capacity Expansion Problems: A Survey," Operations Research, INFORMS, vol. 30(5), pages 907-947, October.
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    5. James R. Bradley & Peter W. Glynn, 2002. "Managing Capacity and Inventory Jointly in Manufacturing Systems," Management Science, INFORMS, vol. 48(2), pages 273-288, February.
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    7. Ebru K. Bish & Ana Muriel & Stephan Biller, 2005. "Managing Flexible Capacity in a Make-to-Order Environment," Management Science, INFORMS, vol. 51(2), pages 167-180, February.
    8. Jan A. Van Mieghem, 1998. "Investment Strategies for Flexible Resources," Management Science, INFORMS, vol. 44(8), pages 1071-1078, August.
    9. Jan A. Van Mieghem, 2003. "Commissioned Paper: Capacity Management, Investment, and Hedging: Review and Recent Developments," Manufacturing & Service Operations Management, INFORMS, vol. 5(4), pages 269-302, July.
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    Cited by:

    1. Altendorfer, Klaus & Minner, Stefan, 2011. "Simultaneous optimization of capacity and planned lead time in a two-stage production system with different customer due dates," European Journal of Operational Research, Elsevier, vol. 213(1), pages 134-146, August.
    2. Altendorfer, Klaus, 2017. "Relation between lead time dependent demand and capacity flexibility in a two-stage supply chain with lost sales," International Journal of Production Economics, Elsevier, vol. 194(C), pages 13-24.
    3. Altendorfer, Klaus & Jodlbauer, Herbert, 2011. "Which utilization and service level lead to the maximum EVA?," International Journal of Production Economics, Elsevier, vol. 130(1), pages 16-26, March.
    4. Josh Reed & Bo Zhang, 2017. "Managing capacity and inventory jointly for multi-server make-to-stock queues," Queueing Systems: Theory and Applications, Springer, vol. 86(1), pages 61-94, June.
    5. Klaus Altendorfer & Thomas Felberbauer & Herbert Jodlbauer, 2018. "Effects of forecast errors on optimal utilisation in aggregate production planning with stochastic customer demand," Papers 1812.00773, arXiv.org.

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