Simulating Stable Stochastic Systems, III: Regenerative Processes and Discrete Event Simulations.

Abstract

An earlier developed technique for analyzing simulations of GI/G/S queues and Markov chains is shown to apply to discrete-event simulations which can be modeled as regenerative processes. It is possible to address questions of simulation run duration and of starting and stopping simulations because of the existence of a random grouping of observations which produces independent identically distributed blocks in the course of the simulation. This grouping allows one to obtain confidence intervals for a general function of the steady-state distribution of the process being simulated and for the asymptotic cost per unit time. The technique is illustrated with a simulation of a retail inventory distribution system. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1973
Accession Number
AD0755335

Entities

People

  • Donald Iglehart
  • Michael A. Crane

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Intervals
  • Inventory
  • Markov Chains
  • Observation
  • Simulations
  • Steady State

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.