THE TRANSIENT BEHAVIOR OF THE QUEUE WITH ALTERNATING PRIORITIES, WITH SPECIAL REFERENCE TO THE WAITINGTIMES,

Abstract

A server operates two units with independent Poisson arrival processes and with independent, general servicetimes. He serves each unit until its queue becomes empty and then switches to the other unit of customers waiting there. If both units are empty, he operates the unit in which the first customer arrives and stays in it until it again becomes empty. This report discusses the time dependent and asymptotic distributions for the queuelength processes and for several virtual waitingtime processes. The analysis is in terms of imbedded semi-Markov processes. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1968
Accession Number
AD0665783

Entities

People

  • Marcel F. Neuts
  • Micha Yadin

Organizations

  • Purdue University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Cooperation
  • Group Dynamics
  • Markov Processes
  • Mathematics
  • Probability
  • Psychology

Readers

  • Mathematical Modeling and Probability Theory.