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The assortment problem: A survey

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  • Pentico, David W.

Abstract

The assortment or catalog problem involves determining which of the possible set of sizes or qualities of some product should be stocked when it is not possible or desirable to stock all of them and substitution in one direction (larger for smaller or higher-quality for lower-quality) is possible at some cost. We review the work published on this topic over the last 50 years.

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  • Pentico, David W., 2008. "The assortment problem: A survey," European Journal of Operational Research, Elsevier, vol. 190(2), pages 295-309, October.
    • Handle: RePEc:eee:ejores:v:190:y:2008:i:2:p:295-309
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    17. Stephen A. Smith & Narendra Agrawal, 2000. "Management of Multi-Item Retail Inventory Systems with Demand Substitution," Operations Research, INFORMS, vol. 48(1), pages 50-64, February.
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    20. Richard Bellman, 1957. "On a Dynamic Programming Approach to the Caterer Problem--I," Management Science, INFORMS, vol. 3(3), pages 270-278, April.
    21. Siddharth Mahajan & Garrett van Ryzin, 2001. "Stocking Retail Assortments Under Dynamic Consumer Substitution," Operations Research, INFORMS, vol. 49(3), pages 334-351, June.
    22. Lawrence W. Robinson, 1995. "Optimal and Approximate Control Policies for Airline Booking with Sequential Nonmonotonic Fare Classes," Operations Research, INFORMS, vol. 43(2), pages 252-263, April.
    23. M. L. Wolfson, 1965. "Selecting the Best Lengths to Stock," Operations Research, INFORMS, vol. 13(4), pages 570-585, August.
    24. Richard D. Wollmer, 1992. "An Airline Seat Management Model for a Single Leg Route When Lower Fare Classes Book First," Operations Research, INFORMS, vol. 40(1), pages 26-37, February.
    25. Chand, Suresh & Ward, James E. & Kevin Weng, Z., 1994. "A parts selection model with one-way substitution," European Journal of Operational Research, Elsevier, vol. 73(1), pages 65-69, February.
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    1. Çömez-Dolgan, Nagihan & Fescioglu-Unver, Nilgun & Cephe, Ecem & Şen, Alper, 2021. "Capacitated strategic assortment planning under explicit demand substitution," European Journal of Operational Research, Elsevier, vol. 294(3), pages 1120-1138.
    2. Çömez-Dolgan, Nagihan & Moussawi-Haidar, Lama & Jaber, Mohamad Y. & Cephe, Ecem, 2022. "Capacitated assortment planning of a multi-location system under transshipments," International Journal of Production Economics, Elsevier, vol. 251(C).
    3. Çömez-Dolgan, Nagihan & Dağ, Hilal & Fescioglu-Unver, Nilgun & Şen, Alper, 2023. "Multi-plant manufacturing assortment planning in the presence of transshipments," European Journal of Operational Research, Elsevier, vol. 310(3), pages 1033-1050.
    4. Chen, Xu & Feng, Youyi & Keblis, Matthew F. & Xu, Jianjun, 2015. "Optimal inventory policy for two substitutable products with customer service objectives," European Journal of Operational Research, Elsevier, vol. 246(1), pages 76-85.
    5. Rasini, Monica & Agatz, Niels & Tappia, Elena, 2020. "Anticipatory shipment for pickup point supply," Omega, Elsevier, vol. 93(C).
    6. Yu, Yimin & Shou, Biying & Ni, Yaodong & Chen, Li, 2017. "Optimal production, pricing, and substitution policies in continuous review production-inventory systems," European Journal of Operational Research, Elsevier, vol. 260(2), pages 631-649.
    7. Hübner, Alexander H. & Kuhn, Heinrich, 2012. "Retail category management: State-of-the-art review of quantitative research and software applications in assortment and shelf space management," Omega, Elsevier, vol. 40(2), pages 199-209, April.
    8. Transchel, Sandra, 2017. "Inventory management under price-based and stockout-based substitution," European Journal of Operational Research, Elsevier, vol. 262(3), pages 996-1008.
    9. 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.
    10. Rodríguez, Betzabé & AydIn, Göker, 2011. "Assortment selection and pricing for configurable products under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 210(3), pages 635-646, May.
    11. Fatma Serab ONURSAL & Alpaslan FIÐLALI & Yekta KAYMAN, 2015. "A Model For Optimizing Material Assortment," Eurasian Business & Economics Journal, Eurasian Academy Of Sciences, vol. 2(2), pages 76-92, July.
    12. Ma, N., 2014. "Optimal scope of supply chain network & operations design," Other publications TiSEM e6187708-b664-44bf-aef8-f, Tilburg University, School of Economics and Management.
    13. Huang, Huei-Chuen & Song, Haiqing, 2010. "Modified base-stock policies for semiconductor production system with dependent yield rates," European Journal of Operational Research, Elsevier, vol. 207(1), pages 206-217, November.

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