Mathematical programming-based perturbation analysis for GI/G/1 queues

  • Authors:
  • He Zhang;Wai Kin (Victor) Chan

  • Affiliations:
  • Rensselaer Polytechnic Institute, Troy, NY;Rensselaer Polytechnic Institute, Troy, NY

  • Venue:
  • Proceedings of the 39th conference on Winter simulation: 40 years! The best is yet to come
  • Year:
  • 2007

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Abstract

This paper addresses several issues of using the mathematical programming representations of discrete-event dynamic systems in perturbation analysis. In particular, linear programming techniques are used to perform Infinitesimal Perturbation Analysis (IPA) on GI/G/1 queues. A condition for unbiasedness is derived. For finite perturbation analysis (FPA), an upper bound is given for the error term of FPA.