A possibilistic multiple objective pricing and lot-sizing model with multiple demand classes

  • Authors:
  • R. Ghasemy Yaghin;S. M. T. Fatemi Ghomi;S. A. Torabi

  • Affiliations:
  • Department of Industrial Engineering, Amirkabir University of Technology, 424 Hafez Avenue, 1591634311 Tehran, Iran;Department of Industrial Engineering, Amirkabir University of Technology, 424 Hafez Avenue, 1591634311 Tehran, Iran;Department of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2013

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Abstract

We address an inventory-marketing system to determine the production lot size, marketing expenditure and selling prices where a firm faces demand from two or more market segments in which the firm can set different prices. Considering pricing, marketing and lot-sizing decisions simultaneously, the model maximizes the profit and return on inventory investment under multiple time varying demand classes. The model is formulated as a fuzzy non-linear multi-objective one where some parameters are ill-known and modeled by fuzzy numbers. A hybrid possibilistic-flexible programming approach is proposed to handle imprecise data and soft constraints concurrently. After transforming the original model into an equivalent multi-objective crisp model, it is then converted to a classical mono-objective one by a fuzzy goal programming method. An efficient solution procedure using particle swarm optimization (PSO) is also provided to solve the resulting non-linear problem.