A Note on M/M/1 Queues with Gamma-Distributed Vacations

Walter Böhm

Publikation: Working/Discussion PaperWU Working Paper

Abstract

In this note we derive a simple formula for the density of Sn = i=1n Ti, where Ti is the duration of the i-th busy cycle in an M/M/1 queueing model with gamma distributed server vacations. Using this result we find the distribution of the queue length by standard renewal arguments. (author's abstract)
OriginalspracheEnglisch
ErscheinungsortVienna
HerausgeberDepartment of Statistics and Mathematics, WU Vienna University of Economics and Business
PublikationsstatusVeröffentlicht - 1991

Publikationsreihe

NameForschungsberichte / Institut für Statistik
Nr.22

WU Working Paper Reihe

  • Forschungsberichte / Institut für Statistik

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