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The queue G/M/m/N: Busy period and cycle, waiting time under reverse and random order service

โœ Scribed by Stig I. Rosenlund

Publisher
John Wiley and Sons
Year
1978
Tongue
English
Weight
565 KB
Volume
25
Category
Article
ISSN
0894-069X

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โœฆ Synopsis

Abstract

The busy period, busy cycle, and the numbers of customers served and lost therein, of the G/M/m queue with balking is studied via the embedded Markov chain approach. It is shown that the expectations of the two discrete variables give the loss probability. For the special case G/M/1/N a closed expression in terms of contour integrals is obtained for the Laplace transform of these four variables. This yields as a byproduct the LIFO waiting time distribution for the G/M/m/N queue. The waiting time under random order service for this queue is also studied.

๐Ÿ“œ SIMILAR VOLUMES

The random order service G/M/m queue
The random order service G/M/m queue
โœ Stig I. Rosenlund ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 358 KB

The waiting time in the random order service G / M / m queue is studied. For the Laplace transform we obtain a simpler representation than previously available. For the moments, an explicit recursive algorithm is given and carried out numerically for some cases. This gives rise to the conjecture tha