Making Simulations More Efficient When Analyzing Poisson Arrival Systems And Means Of Monotone Functions

  • Authors:
  • Sheldon M. Ross

  • Affiliations:
  • Epstein Department of Industrial and Systems Engineering, University of Southern California, Los Angeles, CA 90089-0193, smross@usc.edu

  • Venue:
  • Probability in the Engineering and Informational Sciences
  • Year:
  • 2006

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Abstract

For a system in which arrivals occur according to a Poisson process, we give a new approach for using simulation to estimate the expected value of a random variable that is independent of the arrival process after some specified time t. We also give a new approach for using simulation to estimate the expected value of an increasing function of independent uniform random variables. Stratified sampling is a key technique in both cases.