Abstract
In this paper, we propose a two-dimensional shelf space allocation model. The second dimension stems from the height of the shelf. This results in an integer nonlinear programming model with a complex form of objective function. We propose a multiple neighborhood approach which is a hybridization of a simulated annealing algorithm with a hyper-heuristic learning mechanism. Experiments based on empirical data from both real-world and artificial instances show that the shelf space utilization and the resulting sales can be greatly improved when compared with a gradient method. Sensitivity analysis on the input parameters and the shelf space show the benefits of the proposed algorithm both in sales and in robustness.
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References
Bai R, Kendall G (2005) An investigation of automated planograms using a simulated annealing based hyper-heuristics. In: Ibaraki T, Nonobe K, Yagiura M (eds) Metaheuristics: progress as real problem solvers. Springer, Berlin, pp 87–108
Bai R, Kendall G (2008) A model for fresh produce shelf space allocation and inventory management with freshness condition dependent demand. Inf J Comput 20(1):78–85
Bai R, Burke EK, Kendall G (2008) Heuristic, meta-heuristic and hyper-heuristic approaches for fresh produce inventory control and shelf space allocation. J Oper Res Soc 59:1387–1397
Bai R, Blazewicz J, Burke EK, Kendall G, McCollum B (2012) A simulated annealing hyper-heuristic methodology for flexible decision support. 4OR Q J. Oper Res 10:43–66
Bilgin N, Özcan E, Korkmaz E (2007) An experimental study on hyper-heuristics and exam timetabling. In: Practice and theory of automated timetabling VI, Lecture Notes in Computer Science, vol 3867. Springer, pp 394–412
Borin N, Farris P (1995) A sensitivity analysis of retailer shelf management models. J Retail 71(2):153–171
Borin N, Farris PW, Freeland JR (1994) A model for determining retail product category assortment and shelf space allocation. Decis Sci 25(3):359–384
Broekmeulen RACM, Fransoo JC, van Donselaar KH, van Woensel T (2007) Shelf space excesses and shortages in grocery retail stores. Technical report, Eindhoven University of Technology, The Netherlands
Burke EK, Hart E, Kendall G, Newall J, Ross P, Schulenburg S (2003a) Hyper-heuristics: an emerging direction in modern search technology. In: Glover F, Kochenberger G (eds) Handbook of metaheuristics. Kluwer, Dordrecht, pp 457–474
Burke EK, Kendall G, Soubeiga E (2003b) A tabu-search hyperheuristic for timetabling and rostering. J Heuristics 9(6):451–470
Corstjens M, Doyle P (1981) A model for optimising retail space allocations. Manag Sci 27:822–833
Cox K (1970) The effect of shelf space upon sales of branded products. J Mark Res 7:55–58
Curhan R (1972) The relationship between space and unit sales in supermarkets. J Mark Res 9:406–412
Curhan RC (1973) Shelf space allocation and profit maximization in mass retailing. J Mark 37:54–60
Dowsland KA, Soubeiga E, Burke EK (2007) A simulated annealing based hyperheuristic for determining shipper sizes for storage and transportation. Eur J Oper Res 179(3):759–774
Dreze X, Hoch SJ, Purk ME (1994) Shelf management and space elasticity. J Retail 70(4):301–326
Glover F, Kochenberger GA (eds) (2003) Handbook of metaheuristics. Springer, Berlin
Hart E, Ross P, Nelson JA (1998) Solving a real-world problem using an evolving heuristically driven schedule builder. Evolut Comput 6(1):61–80
Hwang H, Choi B, Lee M-J (2005) A model for shelf space allocation and inventory control considering location and inventory level effects on demand. Int J Prod Econ 97(2):185–195
Hwang H, Choi B, Lee G (2009) A genetic algorithm approach to an integrated problem of shelf space design and item allocation. Comput Ind Eng 56:809–820
Kotzan J, Evanson R (1969) Responsiveness of drug store sales to shelf space allocations. J Mark Res 6:465–469
Lim A, Rodrigues B, Zhang X (2004) Metaheuristics with local search techniques for retail shelf-space optimization. Manag Sci 50(1):117–131
Murray CC, Talukdar D, Gosavi A (2010) Joint optimization of product price, display orientation and shelf-space allocation in retail category management. J Retail 86:125–136
Ouelhadj D, Petrovic S (2010) A cooperative hyper-heuristic search framework. J Heuristics 16(6):835–857
Rattadilok P, Gaw A, Kwan R (2005) Distributed choice function hyper-heuristics for timetabling and scheduling. In: Practice and theory of automated timetabling V, Lecture Notes in Computer Science, vol 3616. Springer, Berlin, pp 51–67
Ross P (2005) Hyper-heuristics. In: Burke EK, Kendall G (eds) Search methodologies: introductory tutorials in optimization and decision support techniques, Chap 17. Springer, Berlin, pp 529–556
Terashima-Marin H, Flores-Alvarez EJ, Ross P (2005) Hyper-heuristics and classifier systems for solving 2D-regular cutting stock problems. In: Proceedings of the 2005 ACM conference on genetic and evolutionary computation (GECCOR 2005), pp 637–643
Terashima-Marín H, Ross P, Farías-Zárate CJ, López-Camacho E, Valenzuela-Rendón M (2010) Generalized hyper-heuristics for solving 2D regular and irregular packing problems. Annals Oper Res 179(1):369–392
Urban T (1998) An inventory-theoretic approach to product assortment and shelf-space allocation. J Retail 74(1):15–35
Van Woensel T, Broekmeulen RACM, van Donselaar KH, Fransoo JC (2006) Planogram integrity: a serious issue. ECR J 6:4–5
Yang M-H (2001) An efficient algorithm to allocate shelf space. Eur J Oper Res 131:107–118
Zufryden F (1986) A dynamic programming approach for product selection and supermarket shelf-space allocation. J Oper Res Soc 37(4):413–422
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Bai, R., van Woensel, T., Kendall, G. et al. A new model and a hyper-heuristic approach for two-dimensional shelf space allocation. 4OR-Q J Oper Res 11, 31–55 (2013). https://doi.org/10.1007/s10288-012-0211-2
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DOI: https://doi.org/10.1007/s10288-012-0211-2