Title: Distance function and fuzzy goal programming models for effective shopping mall management

Authors: R.K. Jana; Dinesh K. Sharma; B. Chakraborty

Addresses: Indian Institute of Management Raipur, GEC Campus, Sejbahar, CG492015, India ' Department of Business, Management and Accounting, University of Maryland Eastern Shore, Princess Anne, MD 21853, USA ' Department of Mathematics, Institute of Engineering and Management, Kolkata, WB 700091, India

Abstract: In today's competitive environment, managing shopping malls is a challenging task. Electricity consumption directly impacts greenhouse gas emissions and recurring costs, while effective utilisation of leasable areas influences the profitability of malls. Retail tenant mix may play a vital role in the success of shopping malls by attracting more shoppers. In this paper, we present distance function and fuzzy goal programming (FGP) models for an effective shopping mall management. A solution procedure for finding the optimal tenant mix was presented. The three objectives of the model formulation were the maximising of the total leasable area, the minimising of the total electricity consumption and the maximising of the total number of shops. A distance function method was suggested to solve the obtained nonlinear integer programming problem. The problem was also solved using three FGP models. The superiority of the distance function approach over the FGP models was evidenced in the case example of the shopping mall located in Kolkata, India.

Keywords: shopping mall management; tenant mix; fuzzy goal programming; FGP; distance function.

DOI: 10.1504/IJMDM.2017.086995

International Journal of Management and Decision Making, 2017 Vol.16 No.4, pp.428 - 444

Received: 17 Mar 2017
Accepted: 07 Jun 2017
Published online: 03 Oct 2017 *

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