The (σ,S) policy for uncertain multi-product newsboy problem

  • Authors:
  • Sibo Ding;Yuan Gao

  • Affiliations:
  • -;-

  • Venue:
  • Expert Systems with Applications: An International Journal
  • Year:
  • 2014

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Abstract

This paper derives an optimal (@s,S) policy for uncertain multi-product newsboy problem. Demands for the products are estimated by experts and assumed to be independent uncertain variables. Uncertainty theory, which is a new mathematical tool to deal with human uncertainty, is employed to model demand distributions. A fixed setup cost and a linear ordering cost are incurred if products are ordered. Setup cost is variant and depends on whether a joint order or an individual order is placed. A methodology is proposed for determining the optimal (@s,S) policy. Finally, a two-product example is provided to show how to design an optimal (@s,S) policy in realistic situation.