Displaying similar documents to “The stationary waiting time and other variables in single-server queues with specialities at the beginning of a busy period”

On the Busy Period in One Finite Queue of M/G/1 Type with Inactive Orbit

Dragieva, Velika (2014)

Serdica Journal of Computing

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The paper deals with a single server finite queuing system where the customers, who failed to get service, are temporarily blocked in the orbit of inactive customers. This model and its variants have many applications, especially for optimization of the corresponding models with retrials. We analyze the system in non-stationary regime and, using the discrete transformations method study, the busy period length and the number of successful calls made during it. ACM Computing Classification...

Analysis of an MAP/PH/1 queue with flexible group service

Arianna Brugno, Ciro D'Apice, Alexander Dudin, Rosanna Manzo (2017)

International Journal of Applied Mathematics and Computer Science

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A novel customer batch service discipline for a single server queue is introduced and analyzed. Service to customers is offered in batches of a certain size. If the number of customers in the system at the service completion moment is less than this size, the server does not start the next service until the number of customers in the system reaches this size or a random limitation of the idle time of the server expires, whichever occurs first. Customers arrive according to a Markovian...