Convergence properties of infinitesimal perturbation analysis
Management Science
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Annals of Operations Research
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Proceedings of the 32nd conference on Winter simulation
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Proceedings of the 33nd conference on Winter simulation
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Simulation optimization with mathematical programming representation of discrete event systems
Proceedings of the 40th Conference on Winter Simulation
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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.