International Journal of Science , Engineering and Management (IJSEM)

Monthly Journal for Science , Engineering and Management

Volume2,June 2017,

Topic : Modelling and analysis of Geom/GI/1/K Queue With Finite Number of Vacations

Authors:K . Sikdar || K . Anitha

Abstract:Discrete-time queueing models have gained prominence in recent years due to its wide applications. These have received much interest due to the emerging broadband integrated services digital network(B-ISDN) which provides the transfer of messages in the form of video, voice and data through high speed local area networks (LAN). The asynchronous transfer mode (ATM) is adopted as the network transport technique in the implementation of B-ISDN. In this paper, we deliberate a finite buffer discrete-time Geo/G/1 queue where the server takes finite number of at most L (≥0) vacations. The server takes vacations whenever the system is empty. After the vacation, the server checks out the system whether to resume the service or to go for another vacation or to be dormant. In this system, jobs arrive according to Bernoulli process and service, vacation times are arbitrarily distributed. We adopt the supplementary variable method and the imbedded Markov chain techniques to attain the queue length distributions at the service completion, vacation termination and arbitrary epochs. The analysis of actual waiting time under the First-Come-First-Served (FCFS) queueing discipline is also carried out. The objective of this paper is to create awareness and better utilization of the queueing theories involved in the analysis of a discrete-time model with at most L vacations.

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DOI: 01.1617/vol4/iss6/pid13586


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Dr.Muhammad Ishtiaq,
Mirpur University of
Science & Technology,
Mirpur, Azad Kasmir.

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IMPACT FACTOR: 2.7

ISSN(Online): 2456-1304

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Thomson Reuters ID : q-6288-2016.
ORCiD Research ID : 0000-0001-9540-6799

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ACCEPTANCE RATIO: 25%
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Journal Code : IJSEM
Electronic ISSN : 2456-1304
Impact Factor : 2.7
Frequency : Monthly
Contact : editor@ijsem.org

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