Using cumulant functions in queueing theory

Timothy I. Matis, Richard M. Feldman

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

A new approach for obtaining the transient solution for the first and second moments of the system size in a finite capacity M/M/1 queueing systems is developed. The approach uses the cumulant generating function which has previously been used in the analysis of compartmental models but has not been used to analyze queueing systems.

Original languageEnglish
Pages (from-to)341-353
Number of pages13
JournalQueueing Systems
Volume40
Issue number4
DOIs
StatePublished - 2002

Keywords

  • Cumulant generating functions
  • Queue
  • Transient solutions

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