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Waiting‐time probabilities in the M/G/1 retrial queue
Author(s) -
Nobel R. D.,
Tijms H. C.
Publication year - 2006
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.1467-9574.2006.00312.x
Subject(s) - queue , mathematics , retrial queue , matching (statistics) , distribution (mathematics) , mathematical optimization , computer science , statistics , queueing theory , queueing system , mathematical analysis , programming language
This paper deals with the difficult problem of calculating the waiting‐time probabilities in the M / G /1 queue with retrials. The waiting‐time distribution is approximated by a gamma distribution by matching the first two moments. Numerical results indicate that this approximation performs satisfactory for practical purposes.