Online lot-sizing problems with ordering, holding and shortage costs

  • Authors:
  • Michael R. Wagner

  • Affiliations:
  • -

  • Venue:
  • Operations Research Letters
  • Year:
  • 2011

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Abstract

We study inventory management problems where demands are revealed incrementally and procurement decisions must be made before the demands are realized. There are no probabilistic distributions nor non-trivial bounds to characterize demands. We consider two cost minimization problems: (1) perishable products with lost sales and (2) durable products with backlogged demand. In both problems, costs are period dependent. These problems are analyzed by utilizing linear-fractional programming and duality theory. Structural results are proved and then developed into practical strategies.