Limit Theorems for Periodic Queues

Abstract

Consider a single server queue with service times distributed as a general randow variable S and with nonstationary Poisson input. The asymptotic distributions associated with Z and W are shown to be related in various ways. In particular, we extend to the case of periodic Poisson input a well known formula (due to Takacs) relating the limiting virtual and actual waiting time distributions of a GI/G/1 queue.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1976
Accession Number
ADA030647

Entities

People

  • Austin J. Lemoine
  • J. M. Harrison

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Convergence
  • Customer Services
  • Discontinuities
  • Distribution Functions
  • Markov Processes
  • Mathematics
  • Military Research
  • Operations Research
  • Periodic Functions
  • Probability
  • Random Variables
  • Random Walk
  • Sequences
  • Stationary
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.