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## Journal of Economics & Management / University of Economics in Katowice

2022 | nr 44 | 119--141
Tytuł artykułu

### Linear and Nonlinear Shelf Space Allocation Problems with Vertical and Horizontal Bands

Autorzy
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Aim/purpose - Shelf space is one of the most important tools for attracting customers' attention in a retail store. This paper aims to develop a practical shelf space allocation model with visible vertical and horizontal categories. and formulate it in linear and non-linear forms. Design/methodology/approach - The research is mainly based on operational research. Simulation, mathematical optimization, and linear and nonlinear programming methods are mainly used. Special attention is given to the decision variables and constraints. Changing the dimensioning of the decision variables results in an improvement in the formulation of the problem, which in turn allows for obtaining an optimal solution. Findings - A comparison of the developed shelf space allocation models with visible vertical and horizontal categories in linear and nonlinear forms is presented. The computational experiments were performed with the help of CPLEX solver, which shows that the optimal solution of the linear problem formulation was obtained within a couple of seconds. However, a nonlinear form of this problem found the optimal solution only in 19 out of 45 instances. An increase in the time limits slightly improves the performance of the solutions of the nonlinear form. Research implications/limitations - The main implication of research results for science is related to the possibility of determining an optimal solution to the initially formulated nonlinear shelf space allocation problem. The main implication for practice is to take into consideration the practical constraints based on customers' requirements. The main limitations are the lack of storage conditions and holding time constraints. Originality/value/contribution - The main contribution is related to developing mathematical models that consider simultaneous categorization of products vertically, based on one characteristic, and horizontally, based on another characteristic. Contribution is also related to extending the shelf space allocation theory with the shelf space allocation problem model in relation to four sets of constraints: shelf constraints, product constraints, orientation constraints, and band constraints. (original abstract)
Słowa kluczowe
EN
PL
Rocznik
Numer
Strony
119--141
Opis fizyczny
Twórcy
• Wroclaw University of Economics and Business, Poland
• Wroclaw University of Economics and Business, Poland
autor
• Wroclaw University of Economics and Business, Poland
Bibliografia
• Imam, A.A.A., & Alvi, A.K. (2015). Effect of shelf space optimisation on consumer decision making. Science International, 27(1), 439-444. Retrieved from https://www.thefreelibrary.com/EFFECT+OF+SHELF+SPACE+OPTIMIZATION+ON+CONSUMER+DECISION+MAKING-a0405930870
• Akkaş, A. (2019). Shelf space selection to control product expiration. Production and Operations Management, 28(9), 2184-2201. https://doi.org/10.1111/poms.13034
• Ali Soomro, D. Y., Abbas Kaimkhani, S., & Iqbal, J. (2017). Effect of visual merchandising elements of retail store on consumer attention. Journal of Business Strate-gies, 11(1), 21-40. Retrieved from https://www.proquest.com/docview/1925865 276/fulltextPDF/CEF9BD32F1D5481BPQ/1?accountid=45580
• Bianchi-Aguiar, T., Silva, E., Guimarães, L., Carravilla, M. A., & Oliveira, J. F. (2018). Allocating products on shelves under merchandising rules: Multi-level product families with display directions. Omega, 76, 47-62. https://doi.org/10.1016/j.omega. 2017.04.002
• Borin, N., Farris, P. W., & Freeland, J. R. (1994). A model for determining retail product category assortment and shelf space allocation. Decision Sciences, 25(3), 359-384. Retrieved from https://onlinelibrary.wiley.com/doi/10.1111/j.1540-5915.1994.tb00809.x
• Cachon, G. P., Terwiesch, C., & Xu, Y. (2005). Retail assortment planning in the presence of consumer search. Manufacturing and Service Operations Management, 7(4), 330-346. https://doi.org/10.1287/msom.1050.0088
• Chandon, P., Hutchinson, J. W., Bradlow, E. T., & Young, S. H. (2009). Does in-store marketing work? Effects of the number and position of shelf facings on brand attention and evaluation at the point of purchase. Journal of Marketing, 73(6), 1-17. https://doi.org/10.1509/jmkg.73.6.1
• Corsten, H., Hopf, M., Kasper, B., & Thielen, C. (2018). Assortment planning for multiple chain stores. OR Spectrum, 40(4), 875-912. https://doi.org/10.1007/s00291-017-0496-9
• Corstjens, M., & Doyle, P. (1981). A model for optimising retail space allocations. Management Science, 27(7), 822-833. https://doi.org/10.1287/mnsc.27.7.822
• Deng, X., Kahn, B. E., Unnava, H. R., & Lee, H. (2016). "Wide" variety: Effects of horizontal versus vertical display on assortment processing, perceived variety, and choice. Journal of Marketing Research, 53(5), 682-698. https://doi.org/10.1509/ jmr.13.0151
• Dhar, S. K., Hoch, S. J., & Kumar, N. (2001). Effective category management depends on the role of the category. Journal of Retailing, 77(2), 165-184. https://doi.org/ 10.1016/S0022-4359(01)00045-8
• Duckworth, W. E. (2012). A guide to operational research. Berlin/Heidelbrg: Springer Science & Business Media.
• Düsterhöft, T., Hübner, A., & Schaal, K. (2020). A practical approach to the shelf-space allocation and replenishment problem with heterogeneously sized shelves. European Journal of Operational Research, 282(1), 252-266. https://doi.org/10.1016/ j.ejor.2019.09.012
• Ebster, C., & Garaus, M. (2015). Chapter 4. Visual merchandising: Capturing customer attention. In C. Ebster & M. Garaus, Store design and visual merchandising: Creating store space that encourages buying (2nd ed.; pp. 83-114). New York, NY: Business Expert Press. https://doi.org/10.4128/9781606490952
• Gajjar, H. K., & Adil, G. K. (2010). A piecewise linearisation for retail shelf space allocation problem and a local search heuristic. Annals of Operations Research, 179(1), 149-167. https://doi.org/10.1007/s10479-008-0455-6
• Geismar, H. N., Dawande, M., Murthi, B. P. S., & Sriskandarajah, C. (2015). Maximizing revenue through two-dimensional shelf-space allocation. Production and Operations Management, 24(7), 1148-1163. https://doi.org/10.1111/poms.12316
• Ghazavi, E., & Lotfi, M. M. (2016). Formulation of customers' shopping path in shelf space planning: A simulation-optimization approach. Expert Systems with Applications, 55, 243-254. https://doi.org/10.1016/j.eswa.2016.01.043
• Hansen, J. M., Raut, S., & Swami, S. (2010). Retail shelf allocation: A comparative analysis of heuristic and meta-heuristic approaches. Journal of Retailing, 86(1), 94-105. https://doi.org/10.1016/j.jretai.2010.01.004
• Hariga, M. A., Al-Ahmari, A., & Mohamed, A.-R. A. (2007). A joint optimisation model for inventory replenishment, product assortment, shelf space and display area allocation decisions. European Journal of Operational Research, 181(1), 239-251. https://doi.org/10.1016/j.ejor.2006.06.025
• Hübner, A. H., & Kuhn, H. (2011a). Retail shelf space management model with space-elastic demand and consumer-driven substitution effects. SSRN Electronic Journal. https://doi.org/10.2139/ssrn.1534665
• Hwang, H., Choi, B., & Lee, G. (2009). A genetic algorithm approach to an integrated problem of shelf space design and item allocation. Computers and Industrial Engineering, 56(3), 809-820. https://doi.org/10.1016/j.cie.2008.09.012
• Irion, J., Lu, J. C., Al-Khayyal, F., & Tsao, Y.-C. (2012). A piecewise linearisation framework for retail shelf space management models. European Journal of Operational Research, 222(1), 122-136. https://doi.org/10.1016/j.ejor.2012.04.021
• Kahn, B. E. (2017). Using visual design to improve customer perceptions of online assortments. Journal of Retailing, 93(1), 29-42. https://doi.org/10.1016/j.jretai.2016. 11.004
• Kahn, B., & Wansink, B. (2004). The influence of assortment structure on perceived variety and consumption qualities. Journal of Consumer Research, 30(4), 519-533. https://doi.org/10.1086/380286
• Landa-Silva, D., Marikar, F., & Le, K. (2009). Heuristic approach for automated shelf space allocation. In ISAC'08: Proceedings of the ACM Symposium on Applied Computing (pp. 922-928). New York, NY: Association for Computing Machinery. https://doi.org/10.1145/1529282.1529482
• Lim, A., Rodrigues, B., & Zhang, X. (2004). Metaheuristics with local search techniques for retail shelf-space optimisation. Management Science, 50(1), 117-131. https:// doi.org/10.1287/mnsc.1030.0165
• Mowrey, C. H., Parikh, P. J., & Gue, K. R. (2019). The impact of rack layout on visual experience in a retail store. INFOR, 57(1), 75-98. https://doi.org/10.1080/031559 86.2017.1402475
• Ozcan, T., & Esnaf, S. (2013). A discrete constrained optimization using genetic algorithms for a bookstore layout. International Journal of Computational Intelligence Systems, 6(2), 261-278. https://doi.org/10.1080/18756891.2013.768447
• Shi, S. W., Wedel, M., & Pieters, F. G. M. (Rik) (2013). Information acquisition during online decision making: A model-based exploration using eye-tracking data. Man-agement Science, 59(5), 1009-1026. https://doi.org/10.1287/mnsc.1120.1625
• Thakur, A. (Ed.) (2013). Visual merchandising. Phagwara: Lovely Professional University. Retrieved from http://ebooks.lpude.in/management/mba/term_4/dmgt552_ visual_merchandising.pdf
• Tsao, Y. C., Lu, J. C., An, N., Al-Khayyal, F., Lu, R. W., & Han, G. (2014). Retailer shelf-space management with trade allowance: A Stackelberg game between retailer and manufacturers. International Journal of Production Economics, 148, 133-144. https://doi.org/10.1016/j.ijpe.2013.09.018
• Yang, M. H. (2001). Efficient algorithm to allocate shelf space. European Journal of Operational Research, 131(1), 107-118. https://doi.org/10.1016/S0377-2217(99)00 448-8
• Yang, M.-H., & Chen, W.-C. (1999). Study on shelf space allocation and management. International Journal of Production Economics, 60, 309-317. https://doi.org/10. 1016/s0925-5273(98)00134-0
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