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Optimal shelf-space stocking policy using stochastic dominance under supply-driven demand uncertainty

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  • Amit, R.K.
  • Mehta, Peeyush
  • Tripathi, Rajeev R.

Abstract

In this paper, we develop an optimal shelf-space stocking policy when demand, in addition to the exogenous uncertainty, is influenced by the amount of inventory displayed (supply) on the shelves. Our model exploits stochastic dominance condition; and, we assume that the distribution of realized demand with higher stocking level stochastically dominates the distribution of realized demand with lower stocking level. We show that the critical fractile with endogenous demand may not exceed the critical fractile of the classical newsvendor model. Our computational results validate the optimality of amount of units stocked on the retail shelves.

Suggested Citation

  • Amit, R.K. & Mehta, Peeyush & Tripathi, Rajeev R., 2015. "Optimal shelf-space stocking policy using stochastic dominance under supply-driven demand uncertainty," European Journal of Operational Research, Elsevier, vol. 246(1), pages 339-342.
    • Handle: RePEc:eee:ejores:v:246:y:2015:i:1:p:339-342
    DOI: 10.1016/j.ejor.2015.04.031
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    References listed on IDEAS

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    1. Hariga, Moncer A. & Al-Ahmari, Abdulrahman & Mohamed, Abdel-Rahman A., 2007. "A joint optimisation model for inventory replenishment, product assortment, shelf space and display area allocation decisions," European Journal of Operational Research, Elsevier, vol. 181(1), pages 239-251, August.
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    3. Yunzeng Wang & Yigal Gerchak, 2001. "Supply Chain Coordination when Demand Is Shelf-Space Dependent," Manufacturing & Service Operations Management, INFORMS, vol. 3(1), pages 82-87, August.
    4. Irion, Jens & Lu, Jye-Chyi & Al-Khayyal, Faiz & Tsao, Yu-Chung, 2012. "A piecewise linearization framework for retail shelf space management models," European Journal of Operational Research, Elsevier, vol. 222(1), pages 122-136.
    5. Urban, Timothy L., 2005. "Inventory models with inventory-level-dependent demand: A comprehensive review and unifying theory," European Journal of Operational Research, Elsevier, vol. 162(3), pages 792-804, May.
    6. Koschat, Martin A., 2008. "Store inventory can affect demand: Empirical evidence from magazine retailing," Journal of Retailing, Elsevier, vol. 84(2), pages 165-179.
    7. Devangan, Lokendra & Amit, R.K. & Mehta, Peeyush & Swami, Sanjeev & Shanker, Kripa, 2013. "Individually rational buyback contracts with inventory level dependent demand," International Journal of Production Economics, Elsevier, vol. 142(2), pages 381-387.
    8. Anantaram Balakrishnan & Michael S. Pangburn & Euthemia Stavrulaki, 2008. "Integrating the Promotional and Service Roles of Retail Inventories," Manufacturing & Service Operations Management, INFORMS, vol. 10(2), pages 218-235, July.
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    Cited by:

    1. Vipin, B. & Amit, R.K., 2017. "Loss aversion and rationality in the newsvendor problem under recourse option," European Journal of Operational Research, Elsevier, vol. 261(2), pages 563-571.
    2. Mostafa Shaaban & Carmen Schwartz & Joseph Macpherson & Annette Piorr, 2021. "A Conceptual Model Framework for Mapping, Analyzing and Managing Supply–Demand Mismatches of Ecosystem Services in Agricultural Landscapes," Land, MDPI, vol. 10(2), pages 1-19, January.
    3. Mou, Shandong & Robb, David J. & DeHoratius, Nicole, 2018. "Retail store operations: Literature review and research directions," European Journal of Operational Research, Elsevier, vol. 265(2), pages 399-422.
    4. Timonina-Farkas, Anna & Katsifou, Argyro & Seifert, Ralf W., 2020. "Product assortment and space allocation strategies to attract loyal and non-loyal customers," European Journal of Operational Research, Elsevier, vol. 285(3), pages 1058-1076.
    5. Stephen A. Smith & Narendra Agrawal, 2017. "Optimal Markdown Pricing and Inventory Allocation for Retail Chains with Inventory Dependent Demand," Manufacturing & Service Operations Management, INFORMS, vol. 19(2), pages 290-304, May.

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