The G/M/1 queue revisited

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19 Citations (Scopus)


The G/M/1 queue is one of the classical models of queueing theory. The goal of this paper is two-fold: (a) To introduce new derivations of some well-known results, and (b) to present some new results for the G/M/1 queue and its variants. In particular, we pay attention to the G/M/1 queue with a set-up time at the start of each busy period, and the G/M/1 queue with exceptional first service. Dedicated to Arie Hordijk on his 65th birthday, in friendship and admiration.
Original languageEnglish
Pages (from-to)437-452
JournalMathematical Methods of Operations Research
Issue number3
Publication statusPublished - 2005


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