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Waiting time probabilities in the M/G /1 + M queue
Author(s) -
Lee Chihoon,
Wang Jianqiang C.
Publication year - 2011
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.2010.00476.x
Subject(s) - queue , matching (statistics) , mathematics , exponential distribution , queueing theory , distribution (mathematics) , queueing system , computer science , mathematical optimization , statistics , mathematical analysis , computer network
We consider an M/G /1 queueing system where the customers may leave the queue if their services do not commence before an exponentially distributed random time. The (conditional) offered waiting time distribution is approximated by a gamma distribution via matching the first and second moments of the actual waiting time. A simulation study is conducted to assess the accuracy of the approximation and it reveals that the approximation performs satisfactorily under general conditions on service time distributions.