An M/G/1 Retrial Queue With Unreliable Server for Streaming Multimedia Applications

Abstract

As a model for streaming multimedia applications, we study an unreliable retrial queue with infinite-capacity orbit and normal queue for which the retrial rate and the server repair rate are controllable. Customers join the retrial orbit if and only if their service is interrupted by a server failure. Interrupted 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 queue length distributions, stochastic decomposition results, and performance measures. The joint optimization of the retrial and server repair rates is also studied.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2009
Accession Number
ADA536700

Entities

People

  • Jeffrey P. Kharoufeh
  • Mark A. Abramson
  • 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
  • Intervals
  • Multimedia
  • Optimization
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Stability Conditions
  • Standards
  • Steady State
  • Stochastic Processes
  • Theorems

Readers

  • Distributed Systems and Data Platform Development
  • Mathematical Modeling and Probability Theory.
  • Mathematics or Statistics

Technology Areas

  • Space