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Average Cost Models with Lost Sales

  • Dirk Beyer
  • Feng Cheng
  • Suresh P. Sethi
  • Michael Taksar
Chapter
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 108)

Abstract

This chapter is concerned with the long-run average cost minimization of a stochastic inventory problem with Markovian demand, fixed ordering cost, and convex surplus cost in the case of lost sales. The formulation of the problem is similar to that introduced in Chapter 4 except that we replace the discounted cost objective function by the long-run average cost objective function. To deal with this average cost problem, we apply the vanishing discount method to solve the dynamic programming equations defined for the problem, and establish the corresponding verification theorem.

Keywords

Average Cost Demand State Shortage Cost Admissible Strategy Dynamic Programming Equation 
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Copyright information

© Springer-Verlag US 2010

Authors and Affiliations

  • Dirk Beyer
    • 1
  • Feng Cheng
    • 2
  • Suresh P. Sethi
    • 3
  • Michael Taksar
    • 4
  1. 1.M-FactorSan MateoUSA
  2. 2.Federal Aviation AdministrationOffice of Performance Analysis and StrategyWashingtonUSA
  3. 3.School of Management, M/S SM30The University of Texas at DallasRichardsonUSA
  4. 4.Department of MathematicsUniversity of MissouriColumbiaUSA

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