Reservicing some customers in M/G/1 queues under three disciplines

Salehi-Rad, M. R., Mengersen, Kerrie L., & Shahkar, Gholamhossein (2004) Reservicing some customers in M/G/1 queues under three disciplines. International Journal of Mathematics and Mathematical Sciences, 32, pp. 1715-1723.

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Consider an M/G/1 production line in which a production item is failed with some probability and is then repaired. We consider three repair disciplines depending on whether the failed item is repaired immediately or first stockpiled and repaired after all customers in the main queue are served or the stockpile reaches a specified threshold. For each discipline, we find the probability generating function (p.g.f.) of the steady-state size of the system at the moment of departure of the customer in the main queue, the mean busy period, and the probability of the idle period.

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ID Code: 13113
Item Type: Journal Article
Refereed: Yes
Additional Information: The contents of this journal can be freely accessed online via the journal's web page (see hypertext link).
DOI: 10.1155/S0161171204210389
ISSN: 0161-1712
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Copyright Owner: Copyright 2004 Hindawi Publishing
Copyright Statement: This paper is licensed under the Creative Commons License.
Deposited On: 20 Mar 2008 00:00
Last Modified: 29 Feb 2012 13:30

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