An M/M/1 Retrial Queue with Unreliable Server

Abstract

We analyze an unreliable M/M/1 retrial queue with infinite-capacity orbit and normal queue. Retrial customers do not rejoin the normal queue but repeatedly attempt to access the server at i.i.d. intervals until it is found functioning and idle. We provide stability conditions as well as several stochastic decomposability results.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2006
Accession Number
ADA575318

Entities

People

  • Jeffrey P. Kharoufeh
  • Nathan P. Sherman

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Decomposition
  • Differential Equations
  • Equations
  • Equations Of State
  • Feedback
  • Information Operations
  • Intervals
  • Markov Chains
  • Mathematical Models
  • Models
  • Probability
  • Random Variables
  • Stability Conditions
  • Standards
  • Steady State
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Marksmanship and Weaponry.
  • Mathematical Modeling and Probability Theory.
  • Mathematics or Statistics

Technology Areas

  • Space