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Integrated planning for product selection, shelf-space allocation, and replenishment decision with elasticity and positioning effects

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  • Kim, Gwang
  • Moon, Ilkyeong

Abstract

As the retail industry is growing larger and more diversified, retailers' decisions about product selection, shelf-space-allocation, and replenishment become more important and challenging. This paper is to present a model for shelf-space allocation with product selection and replenishment decisions to maximize the retailer's profit. The model is based on a two-dimensional display space in which all shelves and products have widths and heights and includes factors that influence demand for each product, such as space and cross-space elasticities and positioning effects. The integrated model presented is mixed-integer non-linear programming (MINLP) because the demand function is non-convex. This research proposes two heuristic algorithms (tabu search and genetic) to solve the MINLP problem. The results show the effectiveness and efficiency of these algorithms by comparing the outputs to the MINLP optimal solution for small data sets and comparing the algorithm performances for large data sets. The solution methodologies expect to support a simultaneous decision-making process for retailers to maximize their revenue.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:joreco:v:58:y:2021:i:c:s0969698920312820
    DOI: 10.1016/j.jretconser.2020.102274
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    References listed on IDEAS

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    1. Tsao, Yu-Chung & Lu, Jye-Chyi & An, Na & Al-Khayyal, Faiz & Lu, Richard W. & Han, Guanghua, 2014. "Retailer shelf-space management with trade allowance: A Stackelberg game between retailer and manufacturers," International Journal of Production Economics, Elsevier, vol. 148(C), pages 133-144.
    2. Hansen, Jared M. & Raut, Sumit & Swami, Sanjeev, 2010. "Retail Shelf Allocation: A Comparative Analysis of Heuristic and Meta-Heuristic Approaches," Journal of Retailing, Elsevier, vol. 86(1), pages 94-105.
    3. Reisi, Mohsen & Gabriel, Steven A. & Fahimnia, Behnam, 2019. "Supply chain competition on shelf space and pricing for soft drinks: A bilevel optimization approach," International Journal of Production Economics, Elsevier, vol. 211(C), pages 237-250.
    4. 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.
    5. Eisend, Martin, 2014. "Shelf space elasticity: A meta-analysis," Journal of Retailing, Elsevier, vol. 90(2), pages 168-181.
    6. Mithu Rani Kuiti & Debabrata Ghosh & Sirish Gouda & Sanjeev Swami & Ravi Shankar, 2019. "Integrated product design, shelf-space allocation and transportation decisions in green supply chains," International Journal of Production Research, Taylor & Francis Journals, vol. 57(19), pages 6181-6201, October.
    7. Sharad Borle & Peter Boatwright & Joseph B. Kadane & Joseph C. Nunes & Shmueli Galit, 2005. "The Effect of Product Assortment Changes on Customer Retention," Marketing Science, INFORMS, vol. 24(4), pages 616-622, July.
    8. 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.
    9. 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.
    10. García-Arca, Jesús & Prado-Prado, J. Carlos & González-Portela Garrido, A. Trinidad, 2020. "On-shelf availability and logistics rationalization. A participative methodology for supply chain improvement," Journal of Retailing and Consumer Services, Elsevier, vol. 52(C).
    11. Zhao, Ju & Zhou, Yong-Wu & Wahab, M.I.M., 2016. "Joint optimization models for shelf display and inventory control considering the impact of spatial relationship on demand," European Journal of Operational Research, Elsevier, vol. 255(3), pages 797-808.
    12. 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.
    13. 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.
    14. Yang, Ming-Hsien, 2001. "An efficient algorithm to allocate shelf space," European Journal of Operational Research, Elsevier, vol. 131(1), pages 107-118, May.
    15. 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.
    16. 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.
    17. 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.
    18. Alain Bultez & Philippe Naert, 1988. "SH.A.R.P.: Shelf Allocation for Retailers' Profit," Marketing Science, INFORMS, vol. 7(3), pages 211-231.
    19. Rabbani, Masoud & Pourmohammad Zia, Nadia & Rafiei, Hamed, 2016. "Joint optimal dynamic pricing and replenishment policies for items with simultaneous quality and physical quantity deterioration," Applied Mathematics and Computation, Elsevier, vol. 287, pages 149-160.
    20. Hasmukh Gajjar & Gajendra Adil, 2010. "A piecewise linearization for retail shelf space allocation problem and a local search heuristic," Annals of Operations Research, Springer, vol. 179(1), pages 149-167, September.
    21. 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.
    22. Lee, Hakyeon & Kim, Sang Gook & Park, Hyun-woo & Kang, Pilsung, 2014. "Pre-launch new product demand forecasting using the Bass model: A statistical and machine learning-based approach," Technological Forecasting and Social Change, Elsevier, vol. 86(C), pages 49-64.
    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. Sheng-Chih Chen & Jie Min & Jinn-Tsair Teng & Fuan Li, 2016. "Inventory and shelf-space optimization for fresh produce with expiration date under freshness-and-stock-dependent demand rate," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(6), pages 884-896, June.
    25. Pizzi, Gabriele & Scarpi, Daniele, 2016. "The effect of shelf layout on satisfaction and perceived assortment size: An empirical assessment," Journal of Retailing and Consumer Services, Elsevier, vol. 28(C), pages 67-77.
    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. Hübner, Alexander & Schaal, Kai, 2017. "An integrated assortment and shelf-space optimization model with demand substitution and space-elasticity effects," European Journal of Operational Research, Elsevier, vol. 261(1), pages 302-316.
    28. Marcel Corstjens & Peter Doyle, 1981. "A Model for Optimizing Retail Space Allocations," Management Science, INFORMS, vol. 27(7), pages 822-833, July.
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    4. Rizzi, Francesco & Gigliotti, Marina & Runfola, Andrea & Ferrucci, Luca, 2022. "Don't miss the boat when consumers are in-store! Exploring the use of point-of-purchase displays to promote green and non-green products," Journal of Retailing and Consumer Services, Elsevier, vol. 68(C).
    5. Grandi, Benedetta & Burt, Steve & Cardinali, Maria Grazia, 2021. "Encouraging healthy choices in the retail store environment: Combining product information and shelf allocation," Journal of Retailing and Consumer Services, Elsevier, vol. 61(C).
    6. Monika Matušovičová & Martin Kuchta & Monika Stanková, 2022. "Improvement in Customer Experience Through the Creation of Virtual Brand Communities," Tržište/Market, Faculty of Economics and Business, University of Zagreb, vol. 34(1), pages 79-92.

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