The M/G/1+G queue revisited

O.J. Boxma, D. Perry, W. Stadje

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)

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 briefly 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.
Original languageEnglish
Pages (from-to)207-220
Number of pages14
JournalQueueing Systems: Theory and Applications
Volume67
Issue number3
DOIs
Publication statusPublished - 2011

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