GeoX/G/1/N Queue with Vacation and Limited Service Discipline

Mian Zhang

doi:10.4028/www.scientific.net/AMR.756-759.2470

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 756-759GeoX/G/1/N Queue with Vacation and Limited Service...

Geo^X/G/1/N Queue with Vacation and Limited Service Discipline

Abstract:

We consider a finite butter single server queue with batch arrival, where server serves a limited number of customer before going for vacation (s).The inter arrival times of batches are assumed to be independent and geometrically distribute. The service times and the vacation times of the server are generally distributed and their durations are integral multiples of slots duration. We obtain queue length distributions at service completion, vacation termination and arbitrary epochs.

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Periodical:

Advanced Materials Research (Volumes 756-759)

Pages:

2470-2474

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.756-759.2470

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Online since:

September 2013

Authors:

Mian Zhang

Keywords:

Batch Arrival, Finite Buffer, Limited Service Discipline, Vacation

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