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Error bounds for EOQ

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  • Ram Rachamadugu

Abstract

In this article we explore the properties of the discounted total cost function for the economic order quantity. We show that it is convex. Furthermore, it is shown that the classical economic order quantity (based on Wilson's formula) is not less than the true optimum value based on discounting. Bounds for the discounted reorder interval (or order quantity) based on average cost analysis are also provided. Furthermore, we analytically show that larger the ratio of noncapital‐related holding charges to the total holding charges, the more adverse is the effect on the accuracy of the average cost analysis.

Suggested Citation

  • Ram Rachamadugu, 1988. "Error bounds for EOQ," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(5), pages 419-425, October.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:5:p:419-425
    DOI: 10.1002/1520-6750(198810)35:53.0.CO;2-Y
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    Cited by:

    1. Yang, Gino & Ronald, Robert J. & Chu, Peter, 2005. "Inventory models with variable lead time and present value," European Journal of Operational Research, Elsevier, vol. 164(2), pages 358-366, July.
    2. Ram Rachamadugu & Ranga Ramasesh, 1994. "Suboptimality of equal lot sizes for finite‐horizon problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(7), pages 1019-1027, December.
    3. Giri, B. C. & Dohi, T., 2004. "Optimal lot sizing for an unreliable production system based on net present value approach," International Journal of Production Economics, Elsevier, vol. 92(2), pages 157-167, November.
    4. Hsieh, Tsu-Pang & Dye, Chung-Yuan & Ouyang, Liang-Yuh, 2008. "Determining optimal lot size for a two-warehouse system with deterioration and shortages using net present value," European Journal of Operational Research, Elsevier, vol. 191(1), pages 182-192, November.
    5. B C Giri & T Dohi, 2005. "Exact formulation of stochastic EMQ model for an unreliable production system," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(5), pages 563-575, May.
    6. Rita Vachani, 1992. "Performance of heuristics for the uncapacitated lot‐size problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(6), pages 801-813, October.
    7. Klein Haneveld, Willem K. & Teunter, Ruud H., 1998. "Effects of discounting and demand rate variability on the EOQ," International Journal of Production Economics, Elsevier, vol. 54(2), pages 173-192, January.
    8. Ramasesh, Ranga V., 2010. "Lot-sizing decisions under limited-time price incentives: A review," Omega, Elsevier, vol. 38(3-4), pages 118-135, June.
    9. Li, Linda & Miller, David & Schmidt, Charles P., 2016. "Optimizing inventory׳s contribution to profitability in a regulated utility: The Averch–Johnson effect," International Journal of Production Economics, Elsevier, vol. 175(C), pages 132-141.
    10. Daning Sun & Maurice Queyranne, 2002. "Production and Inventory Model Using Net Present Value," Operations Research, INFORMS, vol. 50(3), pages 528-537, June.
    11. Ramasesh, Ranga V. & Rachamadugu, Ram, 2012. "Evaluating lot-sizing strategies under limited-time price incentives: An efficient lower bound," International Journal of Production Economics, Elsevier, vol. 138(1), pages 177-182.
    12. Chung, Kun-Jen & Tsai, Sui-Fu, 1997. "An algorithm to determine the EOQ for deteriorating items with shortage and a linear trend in demand," International Journal of Production Economics, Elsevier, vol. 51(3), pages 215-221, September.

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