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The M/G/1+G queue revisited

By OJ Onno Boxma, D David Perry and W Wolfgang Stadje

Abstract

We consider an M/G/1 queue with the following form of customer impatience: an arriving customer balks or reneges when its virtual waiting time, i.e., the amount of work seen upon arrival, is larger than a certain random patience time. We consider the number of customers in the system, the maximum workload during a busy period, and the length of a busy period. We also briefl y treat the analogous model in which any customer enters the system and leaves at the end of his patience time or at the end of his virtual sojourn time, whichever occurs first

Publisher: Eurandom
Year: 2010
OAI identifier: oai:library.tue.nl:675489
Provided by: Repository TU/e
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