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Stochastic Periodic-Review Models with Duration- and Quantity-Dependent Inventory Costs: Properties and Approximations

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  • Tal Avinadav

    (Department of Management, Bar-Ilan University, Ramat-Gan 52900, Israel)

Abstract

In this paper, we formulate a stochastic periodic-review inventory model with lead-time that considers both duration- and quantity-dependent inventory costs, and show that the optimality equation has the same format as the standard newsvendor problem with a modified demand distribution. We suggest (i) an approximation of the optimal order-up-to level, based on discretization of the inventory cost accounting, and (ii) two heuristic formulas, based on the two-moment normal approximation of the modified demand distribution, and on an approximated deterministic model. We evaluate the performances of these formulas using a Brownian motion demand process under different scenarios, and discuss their advantages and disadvantages.

Suggested Citation

  • Tal Avinadav, 2016. "Stochastic Periodic-Review Models with Duration- and Quantity-Dependent Inventory Costs: Properties and Approximations," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-25, August.
    • Handle: RePEc:wsi:apjorx:v:33:y:2016:i:04:n:s0217595916500305
    DOI: 10.1142/S0217595916500305
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    References listed on IDEAS

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    1. Avinadav, Tal & Herbon, Avi & Spiegel, Uriel, 2013. "Optimal inventory policy for a perishable item with demand function sensitive to price and time," International Journal of Production Economics, Elsevier, vol. 144(2), pages 497-506.
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    9. Avinadav, Tal & Henig, Mordecai I., 2015. "Exact accounting of inventory costs in stochastic periodic-review models," International Journal of Production Economics, Elsevier, vol. 169(C), pages 89-98.
    10. Tal Avinadav & Teijo Arponen, 2009. "An Eoq Model For Items With A Fixed Shelf-Life And A Declining Demand Rate Based On Time-To-Expiry Technical Note," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 26(06), pages 759-767.
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    Cited by:

    1. Han-Wen Tuan & Kuo-Chen Hung & Gino K. Yang, 2021. "Inventory Model with Fixed Shelf Life under Generalized Non-Increasing Demand," Mathematics, MDPI, vol. 9(21), pages 1-15, October.

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