Further Results on the M/M/1 Queue with Randomly Varying Rates.

Abstract

The M/M/c queue, with arrival and service rates which vary according to the state of a Markov process, has a steady-state probability vector of a modified matrix-geometric form. The rate matrix R is the unique positive solution to a quadratic matrix equation, which may be solved numerically by successive substitutions. A theorem which provides an accuracy check on that computation is proved. Finally a numerical example is discussed and its results are interpreted.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA054884

Entities

People

  • Marcel F. Neuts

Organizations

  • University of Delaware

Tags

DTIC Thesaurus Topics

  • Air Force
  • Computer Science
  • Delaware
  • Equations
  • Equations Of State
  • Geometric Forms
  • Governments
  • Markov Chains
  • Markov Processes
  • Phase Transformations
  • Probability
  • Queueing Theory
  • Stationary
  • Statistics
  • Steady State
  • Transitions
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Mathematical Modeling and Probability Theory.