Theoretical Paper

Journal of the Operational Research Society advance online publication 14 May 2008; doi: 10.1057/palgrave.jors.2602609

A fuzzy mathematical programming approach for cross-sell optimization in retail banking

T Bhaskar1, R Sundararajan1 and P G Krishnan1

1John F Welch Technology Centre, Bangalore, Karnataka, India

Correspondence: T Bhaskar, Computing & Decision Sciences Lab, GE Global Research, John F Welch Technology Centre, 122 EPIP, Whitefield Road, Bangalore, Karnataka 560066, India. E-mail: tarun.bhaskar@ge.com

Received December 2006; Accepted January 2008; Published online 14 May 2008.

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Abstract

We consider the problem of selecting the optimal list of customers to target for a cross-sell campaign in a retail bank. Target selection involves taking estimates of several parameters (response propensity, expected volume, expected profit from a customer, etc) and deciding on the list of customers to whom the offer should be sent such that a certain set of business objectives are met/optimized. We discuss some of the issues related to the target selection process, namely those of unreliable estimates and computational complexity of the problem. We propose a fuzzy mathematical programming technique to address these issues. The imprecise parameters and constraints are represented as triangular fuzzy numbers, while the problem of computational complexity is addressed through a group-level formulation. We use an example of a real-life cross-sell problem for a bank to demonstrate the method. We also provide some sensitivity analyses on critical resources.

Keywords:

retail banking, cross-sell, direct marketing, target selection, fuzzy mathematical programming

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