An efficient algorithm to allocate shelf space

Abstract Shelf space is one of the most important resources of a retail firm. This paper formulates a model and proposes an approach which is similar to the algorithm used for solving a knapsack problem. Subject to given constraints, the proposed heuristic allocates shelf space item by item according to a descending order of sales profit for each item per display area or length. Through the use of simulations, the performances of objective value and the computational efficiency of this method are evaluated. Three options are also proposed for improving the heuristics. Compared to an optimal method, the improved heuristic is shown to be a very efficient algorithm which allocates shelf space at near-optimal levels.

[1]  Yves Smeers,et al.  A Branch-and-Bound Method for Reversed Geometric Programming , 1979, Oper. Res..

[2]  Glen L. Urban,et al.  A Mathematical Modeling Approach to Product Line Decisions , 1969 .

[3]  Peter Doyle,et al.  A Dynamic Model for Strategically Allocating Retail Space , 1983 .

[4]  Hasan Pirkul,et al.  Efficient algorithms for solving multiconstraint zero-one knapsack problems to optimality , 1985, Math. Program..

[5]  Pierre Hansen,et al.  Product selection and space allocation in supermarkets , 1979 .

[6]  M. Eben-Chaime Parametric solution for linear bicriteria knapsack models , 1996 .

[7]  M. Corstjens,et al.  A Model for Optimizing Retail Space Allocations , 1981 .

[8]  S. Voß,et al.  Some Experiences On Solving Multiconstraint Zero-One Knapsack Problems With Genetic Algorithms , 1994 .

[9]  Fred S. Zufryden,et al.  A Dynamic Programming Approach for Product Selection and Supermarket Shelf-Space Allocation , 1986 .

[10]  Ronald C. Curhan Shelf Space Allocation and Profit Maximization in Mass Retailing , 1973 .

[11]  Joseph Barry Mason,et al.  Modern retailing: Theory and practice , 1978 .

[12]  Francis Buttle,et al.  Retail Space Allocation , 1984 .

[13]  Marilyn M. Helms,et al.  COMPETITIVE STRATEGIES AND BUSINESS PERFORMANCE WITHIN THE RETAILING INDUSTRY , 1992 .

[14]  Evan E. Anderson,et al.  A Mathematical Model for Simultaneously Determining the Optimal Brand-Collection and Display-Area Allocation , 1974, Oper. Res..

[15]  Stephen J. Hoch,et al.  Shelf management and space elasticity , 1994 .