Study of Unreliable Multiserver Queueing System of MAP/PH/N Type with Broadcasting Service Discipline

Bin Sun () and Alexander Dudin ()
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Bin Sun: Inner Mongolia University of Science and Technology
Alexander Dudin: Belarusian State University

A chapter in Proceedings of 20th International Conference on Industrial Engineering and Engineering Management, 2013, pp 917-926 from Springer

Abstract: Abstract A multiserver queueing model with the Markovian Arrival Process (MAP) and the phase (PH) type service time distribution is consider. The customer, which sees several free servers upon arrival, is served simultaneously by all these servers. Busy servers are subject to breakdowns and repairs. The common flow of breakdowns is the MAP. An event of this flow with equal probability causes a failure of any busy server. When a server fails the repair period starts immediately. This period has PH type distribution and does not depend on the repair time of other broken-down servers and the service time of customers occupying the working servers. A customer whose service was interrupted leaves the system. Stationary distribution of waiting time is calculated.

Keywords: Broadcasting; Breakdowns; MAP (Markov Arrival Process); PH (PHase type); Queueing system (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-40063-6_90

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DOI: 10.1007/978-3-642-40063-6_90

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