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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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    1. G. F. Newell, 1971. "Dispatching Policies for a Transportation Route," Transportation Science, INFORMS, vol. 5(1), pages 91-105, February.
    2. S. L. Brumelle & J. I. McGill, 1993. "Airline Seat Allocation with Multiple Nested Fare Classes," Operations Research, INFORMS, vol. 41(1), pages 127-137, February.
    3. Wieslaw Sadowski, 1959. "A Few Remarks on the Assortment Problem," Management Science, INFORMS, vol. 6(1), pages 13-24, October.
    4. Hinxman, A. I., 1980. "The trim-loss and assortment problems: A survey," European Journal of Operational Research, Elsevier, vol. 5(1), pages 8-18, July.
    5. Arthur Hsu & Yehuda Bassok, 1999. "Random Yield and Random Demand in a Production System with Downward Substitution," Operations Research, INFORMS, vol. 47(2), pages 277-290, April.
    6. H Gurnani & Z Drezner, 2000. "Deterministic hierarchical substitution inventory models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(1), pages 129-133, January.
    7. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    8. Renwick E. Curry, 1990. "Optimal Airline Seat Allocation with Fare Classes Nested by Origins and Destinations," Transportation Science, INFORMS, vol. 24(3), pages 193-204, August.
    9. Charles R. Frank, Jr., 1965. "A Note on the Assortment Problem," Management Science, INFORMS, vol. 11(7), pages 724-726, May.
    10. David W. Pentico, 1974. "The Assortment Problem with Probabilistic Demands," Management Science, INFORMS, vol. 21(3), pages 286-290, November.
    11. David P. Rutenberg, 1971. "Design Commonality to Reduce Multi-Item Inventory: Optimal Depth of a Product Line," Operations Research, INFORMS, vol. 19(2), pages 491-509, April.
    12. Friedrich Hanssmann, 1957. "Determination of Optimal Capacities of Service for Facilities with a Linear Measure of Inefficiency," Operations Research, INFORMS, vol. 5(5), pages 713-717, October.
    13. Yehuda Bassok & Ravi Anupindi & Ram Akella, 1999. "Single-Period Multiproduct Inventory Models with Substitution," Operations Research, INFORMS, vol. 47(4), pages 632-642, August.
    14. Ulrich W. Thonemann & Margaret L. Brandeau, 2000. "Optimal Commonality in Component Design," Operations Research, INFORMS, vol. 48(1), pages 1-19, February.
    15. Wieslaw Sadowski, 1959. "A Few Remarks on the Assortment Problem," Cowles Foundation Discussion Papers 67, Cowles Foundation for Research in Economics, Yale University.
    16. Richard Bellman, 1957. "On a Dynamic Programming Approach to the Caterer Problem--I," Management Science, INFORMS, vol. 3(3), pages 270-278, April.
    17. Siddharth Mahajan & Garrett van Ryzin, 2001. "Stocking Retail Assortments Under Dynamic Consumer Substitution," Operations Research, INFORMS, vol. 49(3), pages 334-351, June.
    18. M. L. Wolfson, 1965. "Selecting the Best Lengths to Stock," Operations Research, INFORMS, vol. 13(4), pages 570-585, August.
    19. 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.
    20. 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.
    21. David W. Pentico, 1976. "The Assortment Problem with Nonlinear Cost Functions," Operations Research, INFORMS, vol. 24(6), pages 1129-1142, December.
    22. David W. Pentico, 1988. "The Discrete Two-Dimensional Assortment Problem," Operations Research, INFORMS, vol. 36(2), pages 324-332, April.
    23. Baker, Barrie M., 1999. "A spreadsheet modelling approach to the assortment problem," European Journal of Operational Research, Elsevier, vol. 114(1), pages 83-92, April.
    24. 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.
    25. Agrawal, P. K., 1993. "Determining stock-sheet-sizes to minimise trim loss," European Journal of Operational Research, Elsevier, vol. 64(3), pages 423-431, February.
    26. 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.
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    1. 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.
    2. 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.
    3. Transchel, Sandra, 2017. "Inventory management under price-based and stockout-based substitution," European Journal of Operational Research, Elsevier, vol. 262(3), pages 996-1008.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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).
    10. 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.
    11. 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.
    12. Rasini, Monica & Agatz, Niels & Tappia, Elena, 2020. "Anticipatory shipment for pickup point supply," Omega, Elsevier, vol. 93(C).
    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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