QUEUEING PROBLEMS WITH HETEROGENEOUS ARRIVALS AND SERVICE,

Abstract

A two-level modification of the M/M/1 queueing model is studied where the rate of arrival and the service capacity are subject to Poisson alternations. The ensuing 'two-dimensional' problem is analyzed by the use of partial generating function techniques which appear to be essential in the present context. The steady state probabilities and the expected queue are evaluated and numerous special and extreme cases are analyzed in detail. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1969
Accession Number
AD0694032

Entities

People

  • P. Naor
  • U. Yechiali

Organizations

  • Technion – Israel Institute of Technology

Tags

DTIC Thesaurus Topics

  • Mathematics
  • Probability
  • Steady State
  • Two Dimensional

Readers

  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.