Reservicing some customers in M/G/1 queues under three disciplines
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 th...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204210389 |
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| author | M. R. Salehi-Rad K. Mengersen G. H. Shahkar |
| author_facet | M. R. Salehi-Rad K. Mengersen G. H. Shahkar |
| author_sort | M. R. Salehi-Rad |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-1a9293ee6b744476a74205ab36229d2d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1a9293ee6b744476a74205ab36229d2d2025-02-03T01:26:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004321715172310.1155/S0161171204210389Reservicing some customers in M/G/1 queues under three disciplinesM. R. Salehi-Rad0K. Mengersen1G. H. Shahkar2Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad 9177948953, IranSchool of Mathematical and Physical Sciences, The University of Newcastle, 2308, NSW, AustraliaFaculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad 9177948953, IranConsider 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.http://dx.doi.org/10.1155/S0161171204210389 |
| spellingShingle | M. R. Salehi-Rad K. Mengersen G. H. Shahkar Reservicing some customers in M/G/1 queues under three disciplines International Journal of Mathematics and Mathematical Sciences |
| title | Reservicing some customers in M/G/1 queues under three disciplines |
| title_full | Reservicing some customers in M/G/1 queues under three disciplines |
| title_fullStr | Reservicing some customers in M/G/1 queues under three disciplines |
| title_full_unstemmed | Reservicing some customers in M/G/1 queues under three disciplines |
| title_short | Reservicing some customers in M/G/1 queues under three disciplines |
| title_sort | reservicing some customers in m g 1 queues under three disciplines |
| url | http://dx.doi.org/10.1155/S0161171204210389 |
| work_keys_str_mv | AT mrsalehirad reservicingsomecustomersinmg1queuesunderthreedisciplines AT kmengersen reservicingsomecustomersinmg1queuesunderthreedisciplines AT ghshahkar reservicingsomecustomersinmg1queuesunderthreedisciplines |