The Output of M(t)/G(t)/Infinity Queues.

Abstract

We study an infinite server queue in which the arrival process is a Non-Homogeneous Poisson Process (NHPP) and in which the service times of customers may depend on the time service was initiated. We establish a splitting theorem for NHPP similar to the well known splitting theorem for Stationary Poisson Process. With this theorem, we show that the departure process of the M(t)/G(t)/infinity queue is a NHPP, and that the number of departures during any interval is independent of the number of remaining customers at the end of the interval. The splitting theorem can also be used to show that the number of busy servers at any time is Poisson distributed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1982
Accession Number
ADA120545

Entities

People

  • Meyer Kotkin

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Computer Science
  • Convolution Integrals
  • Distribution Functions
  • Engineering
  • Industrial Engineering
  • Intensity
  • Logistics
  • Management Engineering
  • Operations Research
  • Order Statistics
  • Probability
  • Probability Distributions
  • Random Variables
  • Steady State
  • Stochastic Processes
  • Universities

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.