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An application of the EOQ model with nonlinear holding cost to inventory management of perishables. (English) Zbl 1106.90009

Summary: We consider a variation of the economic order quantity (EOQ) model where cumulative holding cost is a nonlinear function of time. This problem has been studied by H. Weiss [Eur. J. Oper. Res. 9, 56–60 (1982; Zbl 0471.90041)], and we here show how it is an approximation of the optimal order quantity for perishable goods, such as milk, and produce, sold in small to medium size grocery stores where there are delivery surcharges due to infrequent ordering, and managers frequently utilize markdowns to stabilize demand as the product’s expiration date nears. We show how the holding cost curve parameters can be estimated via a regression approach from the product’s usual holding cost (storage plus capital costs), lifetime, and markdown policy. We show in a numerical study that the model provides significant improvement in cost vis-à-vis the classic EOQ model, with a median improvement of 40%. This improvement is more significant for higher daily demand rate, lower holding cost, shorter lifetime, and a markdown policy with steeper discounts.

MSC:

90B05 Inventory, storage, reservoirs

Citations:

Zbl 0471.90041
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References:

[1] Elsayed, E. A.; Teresi, C., Analysis of inventory systems with deteriorating items, International Journal of Production Research, 21, 4, 449-460 (1983) · Zbl 0542.90030
[2] Ghare, P. M.; Scharder, G. P., A model for exponentially decaying inventory, Journal of Industrial Engineering, 14, 5, 238-243 (1963)
[3] Giri, B. C.; Chauduri, K. S., Deterministic models of perishable inventory with stock-dependent demand rate and nonlinear holding cost, European Journal of Operational Research, 105, 467-474 (1998) · Zbl 0955.90003
[4] Goh, M., EOQ models with general demand and holding cost functions, European Journal of Operational Research, 73, 50-54 (1994) · Zbl 0809.90039
[5] Nahmias, S., Perishable inventory theory: A review, Operations Research, 30, 4, 680-708 (1982) · Zbl 0486.90033
[6] Padmanabhan, G.; Vrat, P., EOQ models for perishable items under stock dependent selling rate, European Journal of Operational Research, 86, 281-292 (1995) · Zbl 0906.90054
[7] Raafat, F., Survey of literature on continuously deteriorating inventory models, Journal of the Operational Research Society, 42, 1, 27-37 (1991) · Zbl 0718.90025
[8] Weiss, H., Economic order quantity models with nonlinear holding costs, European Journal of Operational Research, 9, 56-60 (1982) · Zbl 0471.90041
[9] Zipkin, P., Foundations of Inventory Management (2000), McGraw-Hill · Zbl 1370.90005
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