Abstract
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 language | English |
---|---|
Pages (from-to) | 437-452 |
Journal | Mathematical Methods of Operations Research |
Volume | 62 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2005 |