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Heuristics for the shelf space allocation problem

Author

Listed:
  • Kateryna Czerniachowska

    (Wroclaw University of Economics and Business)

  • Krzysztof Michalak

    (Wroclaw University of Economics and Business)

  • Marcin Hernes

    (Wroclaw University of Economics and Business)

Abstract

The retailers’ goals to maximize the profit of the products in stores are realized on the planogram shelves. In this paper, we investigated a practical shelf space allocation model with a visible horizontal and vertical grouping of products into categories, which takes into account the number of facings, capping and nesting of a product. The result is four groups of constraints, such as shelf constraints, product constraints, multi-shelves constraints, and category constraints that are used in the model. We proposed 6 heuristics to solve the planogram profit maximization problem. The developed techniques on which heuristics are based may be applied to other category of management shelf space allocation problems because all of them share the same nature of the problem, i.e., the initial step of creating the allocation of products on the shelf and steps in which shelves are combined. Experiments were based on data sets generated according to contemporary real retail conditions. The efficiency of the designed heuristics has been estimated using the CPLEX solver.

Suggested Citation

  • Kateryna Czerniachowska & Krzysztof Michalak & Marcin Hernes, 2023. "Heuristics for the shelf space allocation problem," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 835-869, June.
    • Handle: RePEc:spr:opsear:v:60:y:2023:i:2:d:10.1007_s12597-023-00636-1
    DOI: 10.1007/s12597-023-00636-1
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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).
    6. 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.
    7. 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.
    8. Teresa Bianchi-Aguiar & Elsa Silva & Luis Guimarães & Maria Antónia Carravilla & José F. Oliveira & João Günther Amaral & Jorge Liz & Sérgio Lapela, 2016. "Using Analytics to Enhance a Food Retailer’s Shelf-Space Management," Interfaces, INFORMS, vol. 46(5), pages 424-444, October.
    9. 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.
    10. 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.
    11. Ruibin Bai & Graham Kendall, 2008. "A Model for Fresh Produce Shelf-Space Allocation and Inventory Management with Freshness-Condition-Dependent Demand," INFORMS Journal on Computing, INFORMS, vol. 20(1), pages 78-85, February.
    12. 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.
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    More about this item

    Keywords

    Heuristics; Retailing; Revenue management; Merchandising; Shelf space allocation;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software
    • L81 - Industrial Organization - - Industry Studies: Services - - - Retail and Wholesale Trade; e-Commerce

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