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Analysis of a two-phase queueing system with vacations and Bernoulli feedback. (English) Zbl 1030.60082
This paper deals with the queue length distribution of a single server queue with two phases of service, feedback and multiple vacations. Primary customers arrive to the system following a Poisson stream and they receive a batch service in the first phase followed by a second individual service. Each individual customer completing his service can rejoin the queue according to a certain recovery probability in order to receive another individual service. In addition, as soon as the server becomes idle, he takes successive vacation periods until he finds customers waiting for service.

MSC:
60K25Queueing theory
90B22Queues and service (optimization)
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