Using Cumulant Functions in Queueing Theory

Authors:
Timothy I. Matis;Richard M. Feldman
Affiliations:
Industrial Engineering Department, Texas A&M University, College Station, TX 77843-3131, USA tim3682@unix.tamu.edu;Industrial Engineering Department, Texas A&M University, College Station, TX 77843-3131, USA richf@tamu.edu
Venue:
Queueing Systems: Theory and Applications
Year:
2002

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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.