A novel analysis of queue length in differentiated services networks with self-similar arrival processes

Zhi Quan, Jong Moon Chung

Research output: Contribution to conferencePaper

Abstract

It is well known that traditional analytic methods of queueing systems are based on the distributions of inter-arrival time and service time. However, it is quite inconvenient to employ these methods directly to he analysis of current self-similar traffic models. In this paper, we first derive, a novel analytic model based on the arrival rate and the service rate for single-class steady-state queueing systems. Then the derivations are extended to provide upper and lower boundary conditions for multi-priority queues in networks deploying differentiated services (DS). In addition, the analytical model is also applied to the analysis of DS effects on self-similar traffic. The results illustrate the performance gain in queue length of the priority classes that DS can provide compared to a network that does not deploy DS. Additionally, the upper lower boundary conditions of the queue lengths for each priority class also serves as a system design guideline.

Original languageEnglish
PagesIII85-III88
Publication statusPublished - 2002
Event2002 45th Midwest Symposium on Circuits and Systems - Tulsa, OK, United States
Duration: 2002 Aug 42002 Aug 7

Other

Other2002 45th Midwest Symposium on Circuits and Systems
CountryUnited States
CityTulsa, OK
Period02/8/402/8/7

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

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    Quan, Z., & Chung, J. M. (2002). A novel analysis of queue length in differentiated services networks with self-similar arrival processes. III85-III88. Paper presented at 2002 45th Midwest Symposium on Circuits and Systems, Tulsa, OK, United States.