Computational Uses of the Method of Phases in the Theory of Queues.

Abstract

A probability density on the positive integers is of phase type, if it is the probability density of the time till absorption in an (m+1)-state with one absorbing state m+1, and m transient states all of which lead to the absorbing state. If the service times in a discrete time queue have densities of phase type, several transient and stationary probability distributions of interest may be computed by highly efficient algorithms, which are presented in the paper. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1974
Accession Number
AD0778457

Entities

People

  • Marcel F. Neuts

Organizations

  • Purdue University

Tags

DTIC Thesaurus Topics

  • Absorption
  • Algorithms
  • Mathematics
  • Probability
  • Probability Distributions
  • Stationary

Readers

  • Mathematical Modeling and Probability Theory.