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A Repairable Queueing Model with Two-phase Service, Start-up Times and Retrial Customers by Ioannis Dimitriou; Christos Langaris is a Engineering article available to read on EtoBox.

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## Repairs Start-up time Vacation A repairable queueing model with a two-phase service in succession, provided by a single server, is investigated. Customers arrive in a single ordinary queue and after the completion of the first phase service, either proceed to the second phase or join a retrial box from where they retry, after a random amount of time and independently of the other customers in orbit, to find a position for service in the second phase. Moreover, the server is subject to breakdowns and repairs in both phases, while a start-up time is needed in order to start serving a retrial customer. When the server, upon a service or a repair completion finds no customers waiting to be served, he departs for a single vacation of an arbitrarily distributed length. The arrival process is assumed to be Poisson and all service and repair times are arbitrarily distributed. For such a system the stability conditions and steady state analysis are investigated. Numerical results are finally obtained and used to investigate system performance.

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Author

Ioannis Dimitriou; Christos Langaris

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0305-0548)

Published

2010

Language

EN

Field

Engineering (Physical Sciences)