Reservicing some customers in M/G/1 queues under three disciplines
type: Item
instance of: scholarly article
title: Reservicing some customers in M/G/1 queues under three disciplines
zbMATH Open document ID: 1064.60188
DOI: 10.1155/S0161171204210389
author: Niranjan Chakravarthy
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-18T00:00:00Z
full work available at URL: https://eudml.org/doc/51378
review text: Summary: 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 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.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 2168720
zbMATH Keywords: repair disciplines
zbMATH Keywords: probability generating function
zbMATH Keywords: mean busy period
zbMATH Keywords: probability of the idle period
Wikidata QID: Q56994679
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2168720