A repairable queueing model with two-phase service, start-up times and retrial customers

作者：Dimitriou Ioannis^*; Langaris Christos

来源：Computers & Operations Research, 2010, 37(7): 1181-1190.

DOI：10.1016/j.cor.2009.03.003

• Poisson arrivals
• Two-phase service
• Retrial queue
• Breakdowns
• 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.

• 出版日期2010-7