Variance Reduction for Regenerative Simulations. I. Internal Control and Stratified Sampling for Queues

Abstract

Two methods are discussed for reducing the variance of estimators of parameters of limiting distributions of stable stochastic processes in simulations. The methods are discussed in the context of the simple GI/G/1 queue. Of the two methods one, which is called an internal control variable, gives a variance reduction which is roughly uniform over values of the parameters of the process and, in particular, works well for values of rho sub 1 the traffic intensity, close to 1.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1976
Accession Number
ADA030842

Entities

People

  • Donald Iglehart
  • Peter A. W. Lewis

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Computer Science
  • Computers
  • Data Science
  • Equations
  • Generators
  • Information Science
  • Intensity
  • Markov Chains
  • Military Research
  • Probability
  • Random Number Generators
  • Random Variables
  • Sampling
  • Simulations
  • Statistical Analysis
  • Statistics
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.