Market selection decisions for inventory models with price-sensitive demand

  • Authors:
  • Ismail Serdar Bakal;Joseph Geunes;H. Edwin Romeijn

  • Affiliations:
  • Department of Industrial Engineering, Middle East Technical University, Ankara, Turkey;Department of Industrial and Systems Engineering, University of Florida, Gainesville, USA 32611;Department of Industrial and Systems Engineering, University of Florida, Gainesville, USA 32611

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2008

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Abstract

In the majority of classical inventory theory literature, demand arises from exogenous sources upon which the firm has little or no control. In many practical contexts, however, aggregate demand is comprised of individual demands from a number of distinct customers or markets. This introduces new dimensions to supply chain planning problems involving the selection of markets or customers to include in the demand portfolio. We present a nonlinear, combinatorial optimization model to address planning decisions in both deterministic and stochastic settings, where a firm constructs a demand portfolio from a set of potential markets having price-sensitive demands. We first consider a pricing strategy that dictates a single price throughout all markets and provide an efficient algorithm for maximizing total profit. We also analyze the model under a market-specific pricing policy and describe its optimal solution. An extensive computational study characterizes the effects of key system parameters on the optimal value of expected profit, and provides some interesting insights on how a given market's characteristics can affect optimal pricing decisions in other markets.