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

Publication: Working/Discussion PaperWU Working Paper


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)
Original languageEnglish
Place of PublicationVienna
PublisherDepartment of Statistics and Mathematics, WU Vienna University of Economics and Business
Publication statusPublished - 1991

Publication series

NameForschungsberichte / Institut für Statistik

WU Working Paper Series

  • Forschungsberichte / Institut für Statistik

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