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A shelf-space optimization model when demand is stochastic and space-elastic

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  • Hübner, Alexander
  • Schaal, Kai

Abstract

The more customer demand is impulse-driven, the more it is space-dependent and the more it is subject to variation. We investigate the corresponding problem of retail shelf-space planning when demand is stochastic and sensitive to the number and position of facings. We develop a model to maximize a retailer׳s profit by selecting the number of facings and their shelf position under the assumption of limited space. The model is particularly applicable to promotional or temporary products.

Suggested Citation

  • Hübner, Alexander & Schaal, Kai, 2017. "A shelf-space optimization model when demand is stochastic and space-elastic," Omega, Elsevier, vol. 68(C), pages 139-154.
  • Handle: RePEc:eee:jomega:v:68:y:2017:i:c:p:139-154
    DOI: 10.1016/j.omega.2016.07.001
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    1. Karel H. van Donselaar & Vishal Gaur & Tom van Woensel & Rob A. C. M. Broekmeulen & Jan C. Fransoo, 2010. "Ordering Behavior in Retail Stores and Implications for Automated Replenishment," Management Science, INFORMS, vol. 56(5), pages 766-784, May.
    2. Schneeweiss, Christoph, 2003. "Distributed decision making in supply chain management," International Journal of Production Economics, Elsevier, vol. 84(1), pages 71-83, April.
    3. Erjen van Nierop & Dennis Fok & Philip Hans Franses, 2008. "Interaction Between Shelf Layout and Marketing Effectiveness and Its Impact on Optimizing Shelf Arrangements," Marketing Science, INFORMS, vol. 27(6), pages 1065-1082, 11-12.
    4. Abbott, Harish & Palekar, Udatta S., 2008. "Retail replenishment models with display-space elastic demand," European Journal of Operational Research, Elsevier, vol. 186(2), pages 586-607, April.
    5. Murray, Chase C. & Talukdar, Debabrata & Gosavi, Abhijit, 2010. "Joint Optimization of Product Price, Display Orientation and Shelf-Space Allocation in Retail Category Management," Journal of Retailing, Elsevier, vol. 86(2), pages 125-136.
    6. Hübner, Alexander & Kuhn, Heinrich & Kühn, Sandro, 2016. "An efficient algorithm for capacitated assortment planning with stochastic demand and substitution," European Journal of Operational Research, Elsevier, vol. 250(2), pages 505-520.
    7. Robert Russell & Timothy Urban, 2010. "The location and allocation of products and product families on retail shelves," Annals of Operations Research, Springer, vol. 179(1), pages 131-147, September.
    8. repec:dau:papers:123456789/1757 is not listed on IDEAS
    9. J Irion & J-C Lu & F A Al-Khayyal & Y-C Tsao, 2011. "A hierarchical decomposition approach to retail shelf space management and assortment decisions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1861-1870, October.
    10. Hansen, Pierre & Heinsbroek, Hans, 1979. "Product selection and space allocation in supermarkets," European Journal of Operational Research, Elsevier, vol. 3(6), pages 474-484, November.
    11. Yücel, Eda & Karaesmen, Fikri & Salman, F. Sibel & Türkay, Metin, 2009. "Optimizing product assortment under customer-driven demand substitution," European Journal of Operational Research, Elsevier, vol. 199(3), pages 759-768, December.
    12. Pierre Desmet & Valérie Renaudin, 1998. "Estimation of Product Category Sales Responsiveness to Allocated Shelf Space," Post-Print halshs-00143451, HAL.
    13. van Zelst, Susan & van Donselaar, Karel & van Woensel, Tom & Broekmeulen, Rob & Fransoo, Jan, 2009. "Logistics drivers for shelf stacking in grocery retail stores: Potential for efficiency improvement," International Journal of Production Economics, Elsevier, vol. 121(2), pages 620-632, October.
    14. Marcel Corstjens & Peter Doyle, 1981. "A Model for Optimizing Retail Space Allocations," Management Science, INFORMS, vol. 27(7), pages 822-833, July.
    15. Yang, Ming-Hsien & Chen, Wen-Cher, 1999. "A study on shelf space allocation and management," International Journal of Production Economics, Elsevier, vol. 60(1), pages 309-317, April.
    16. 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.
    17. Schneeweiss, Christoph, 2003. "Distributed decision making--a unified approach," European Journal of Operational Research, Elsevier, vol. 150(2), pages 237-252, October.
    18. A. Gürhan Kök & Marshall L. Fisher & Ramnath Vaidyanathan, 2015. "Assortment Planning: Review of Literature and Industry Practice," International Series in Operations Research & Management Science, in: Narendra Agrawal & Stephen A. Smith (ed.), Retail Supply Chain Management, edition 2, chapter 0, pages 175-236, Springer.
    19. Yang, Ming-Hsien, 2001. "An efficient algorithm to allocate shelf space," European Journal of Operational Research, Elsevier, vol. 131(1), pages 107-118, May.
    20. Zümbül Atan & Nesim Erkip, 2015. "Note on “The Backroom Effect in Retail Operations”," Production and Operations Management, Production and Operations Management Society, vol. 24(11), pages 1833-1834, November.
    21. J Irion & J-C Lu & F A Al-Khayyal & Y-C Tsao, 2011. "A hierarchical decomposition approach to retail shelf space management and assortment decisions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1861-1870, October.
    22. 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.
    23. Hwang, Hark & Choi, Bum & Lee, Min-Jin, 2005. "A model for shelf space allocation and inventory control considering location and inventory level effects on demand," International Journal of Production Economics, Elsevier, vol. 97(2), pages 185-195, August.
    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. Sternbeck, Michael G. & Kuhn, Heinrich, 2014. "An integrative approach to determine store delivery patterns in grocery retailing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 205-224.
    26. Andrew Lim & Brian Rodrigues & Xingwen Zhang, 2004. "Metaheuristics with Local Search Techniques for Retail Shelf-Space Optimization," Management Science, INFORMS, vol. 50(1), pages 117-131, January.
    27. H. Neil Geismar & Milind Dawande & B. P. S. Murthi & Chelliah Sriskandarajah, 2015. "Maximizing Revenue Through Two-Dimensional Shelf-Space Allocation," Production and Operations Management, Production and Operations Management Society, vol. 24(7), pages 1148-1163, July.
    28. Holzapfel, Andreas & Hübner, Alexander & Kuhn, Heinrich & Sternbeck, Michael G., 2016. "Delivery pattern and transportation planning in grocery retailing," European Journal of Operational Research, Elsevier, vol. 252(1), pages 54-68.
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    Cited by:

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    2. Masoud Rabbani & Navid Salmanzadeh-Meydani & Amir Farshbaf-Geranmayeh & Vahed Fadakar-Gabalou, 2018. "Profit maximizing through 3D shelf space allocation of 2D display orientation items with variable heights of the shelves," OPSEARCH, Springer;Operational Research Society of India, vol. 55(2), pages 337-360, June.
    3. Gecili, Hakan & Parikh, Pratik J., 2022. "Joint shelf design and shelf space allocation problem for retailers," Omega, Elsevier, vol. 111(C).
    4. Alexander Hübner & Kai Schaal, 2017. "Effect of replenishment and backroom on retail shelf-space planning," Business Research, Springer;German Academic Association for Business Research, vol. 10(1), pages 123-156, June.
    5. Hense, Jonas & Hübner, Alexander, 2022. "Assortment optimization in omni-channel retailing," European Journal of Operational Research, Elsevier, vol. 301(1), pages 124-140.
    6. Lanza, Giacomo & Passacantando, Mauro & Scutellà, Maria Grazia, 2022. "Assigning and sequencing storage locations under a two level storage policy: Optimization model and matheuristic approaches," Omega, Elsevier, vol. 108(C).
    7. Kateryna Czerniachowska, 2022. "A genetic algorithm for the retail shelf space allocation problem with virtual segments," OPSEARCH, Springer;Operational Research Society of India, vol. 59(1), pages 364-412, March.
    8. Wen, Xin & Choi, Tsan-Ming & Chung, Sai-Ho, 2019. "Fashion retail supply chain management: A review of operational models," International Journal of Production Economics, Elsevier, vol. 207(C), pages 34-55.
    9. Bianchi-Aguiar, Teresa & Hübner, Alexander & Carravilla, Maria Antónia & Oliveira, José Fernando, 2021. "Retail shelf space planning problems: A comprehensive review and classification framework," European Journal of Operational Research, Elsevier, vol. 289(1), pages 1-16.
    10. Kateryna Czerniachowska & Marcin Hernes, 2020. "A Genetic Algorithm for the Shelf-Space Allocation Problem with Vertical Position Effects," Mathematics, MDPI, vol. 8(11), pages 1-20, October.
    11. Schäfer, Fabian & Hense, Jonas & Hübner, Alexander, 2023. "An analytical assessment of demand effects in omni-channel assortment planning," Omega, Elsevier, vol. 115(C).
    12. Alexander Hübner & Fabian Schäfer & Kai N. Schaal, 2020. "Maximizing Profit via Assortment and Shelf‐Space Optimization for Two‐Dimensional Shelves," Production and Operations Management, Production and Operations Management Society, vol. 29(3), pages 547-570, March.
    13. Bianchi-Aguiar, Teresa & Silva, Elsa & Guimarães, Luis & Carravilla, Maria Antónia & Oliveira, José F., 2018. "Allocating products on shelves under merchandising rules: Multi-level product families with display directions," Omega, Elsevier, vol. 76(C), pages 47-62.
    14. Flamand, Tulay & Ghoniem, Ahmed & Haouari, Mohamed & Maddah, Bacel, 2018. "Integrated assortment planning and store-wide shelf space allocation: An optimization-based approach," Omega, Elsevier, vol. 81(C), pages 134-149.
    15. Ostermeier, Manuel & Düsterhöft, Tobias & Hübner, Alexander, 2021. "A model and solution approach for store-wide shelf space allocation," Omega, Elsevier, vol. 102(C).
    16. Kim, Gwang & Moon, Ilkyeong, 2021. "Integrated planning for product selection, shelf-space allocation, and replenishment decision with elasticity and positioning effects," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).
    17. Düsterhöft, Tobias & Hübner, Alexander & Schaal, Kai, 2020. "A practical approach to the shelf-space allocation and replenishment problem with heterogeneously sized shelves," European Journal of Operational Research, Elsevier, vol. 282(1), pages 252-266.
    18. Schaal, Kai & Hübner, Alexander, 2018. "When does cross-space elasticity matter in shelf-space planning? A decision analytics approach," Omega, Elsevier, vol. 80(C), pages 135-152.

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    20. Schäfer, Fabian & Hense, Jonas & Hübner, Alexander, 2023. "An analytical assessment of demand effects in omni-channel assortment planning," Omega, Elsevier, vol. 115(C).

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