The analysis of queues with time-varying rates for telecommunication models

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Time dependent behavior has an impact on the performance of telecommunication models. Examples include: staffing a call center, pricing the inventory of private line services for profit maximization, and measuring the time lag between the peak arrivals and peak load for a system. These problems and more motivate the development of a queueing theory with time varying rates. Queueing theory as discussed in this paper is organized and presented from a communications perspective. Canonical queueing models with time-varying rates are given and the necessary mathematical tools are developed to analyze them. Finally, we illustrate the use of these models through various communication applications.

Original languageEnglish (US)
Pages (from-to)173-204
Number of pages32
JournalTelecommunication Systems
Issue number2-4
StatePublished - 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


  • Carried load
  • Circuit switched networks
  • Delay models
  • Diffusion approximations
  • Fluid approximations
  • Loss models
  • Multiserver queues
  • Offered load
  • Packet networks
  • Private line services
  • Server staffing
  • Wireless networks


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