A SINGLE SERVER QUEUE IN DISCRETE TIME.

Abstract

In a number of queueing problems it is worthwhile to treat time as a discrete variable; both for conceptual and for computational reasons. The paper contains a basic example of a single server queue in discrete time. The time dependent behavior of the queue is analyzed in terms of a bivariate Markov chain. In a lengthy introduction potential applications and computational advantages of this model are discussed. In the final section of the paper the M/G/1 model with group arrivals appears as a limiting case of the present model. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0696074

Entities

People

  • Marcel F. Neuts
  • Stella C. Dafermos

Organizations

  • Purdue University

Tags

DTIC Thesaurus Topics

  • Markov Chains
  • Markov Processes
  • Mathematics
  • Probability

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Systems Analysis and Design