M/M/C queues with Markov modulated service processes

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

Motivated by the need to study traffic flow affected by incidents we consider M/M/C queueing system where servers operate in a Markovian environment. When a traffic incident happens, either all lanes or part of a lane is closed to the traffic. As such, we model these interruptions either as complete service disruptions where none of the servers work or partial failures where all servers work at some reduced service rate. We analyze the system with multiple failure states in steady state and present a scheme to obtain the stationary number of vehicles on a link. The special case of single breakdown case is further analyzed and performance measures in closed form are obtained.

Original languageEnglish (US)
Title of host publicationProceedings of VALUETOOLS
Subtitle of host publication1st International Conference on Performance Evaluation Methodologies and Tools
DOIs
StatePublished - 2006
EventVALUETOOLS: 1st International Conference on Performance Evaluation Methodologies and Tools - Pisa, Italy
Duration: Oct 11 2006Oct 13 2006

Publication series

NameACM International Conference Proceeding Series
Volume180

Other

OtherVALUETOOLS: 1st International Conference on Performance Evaluation Methodologies and Tools
CountryItaly
CityPisa
Period10/11/0610/13/06

All Science Journal Classification (ASJC) codes

  • Software
  • Human-Computer Interaction
  • Computer Vision and Pattern Recognition
  • Computer Networks and Communications

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