Finite-buffer bulk service queue under Markovian service process

Abhijit Datta  Banik; Umesh Chandra  Gupta; Mohan L.  Chaudhry

2nd International ICST Conference on Performance Evaluation Methodologies and Tools

Research Article

Finite-buffer bulk service queue under Markovian service process

Cite: BibTeX Plain Text

@INPROCEEDINGS{10.4108/valuetools.2007.44,
    author={Abhijit Datta  Banik and  Umesh Chandra  Gupta and Mohan L.  Chaudhry},
    title={Finite-buffer bulk service queue under Markovian service process},
    proceedings={2nd International ICST Conference on Performance Evaluation Methodologies and Tools},
    publisher={ACM},
    proceedings_a={VALUETOOLS},
    year={2010},
    month={5},
    keywords={Markovian service process general independent arrival queue ﬁnite-buﬀer general bulk service rul},
    doi={10.4108/valuetools.2007.44}
}

Abhijit Datta Banik
Umesh Chandra Gupta
Mohan L. Chaudhry
Year: 2010
Finite-buffer bulk service queue under Markovian service process
VALUETOOLS
ICST
DOI: 10.4108/valuetools.2007.44

Abhijit Datta Banik¹^,*, Umesh Chandra Gupta², Mohan L. Chaudhry^3,4

1: INRIA, Rennes (IRISA), Campus De Beaulieu, 35042 Rennes Cedex France. Tel.: +0(33)-299847134
2: Department of Mathematics, Indian Institute of Technology, Kharagpur-721302, India.
3: Department of Mathematics and Computer Science, Royal Military College of
4: Canada, P.O. Box 17000, STN Forces, Kingston Ont., Canada K7K, 7B4

*Contact email: adattaba@irisa.fr

Abstract

We consider a single-server finite-buffer queue with renewal input and Markovian service process where server serves customers in batches according to general bulk service rule. Queue length distributions at pre-arrival and arbitrary epochs have been obtained along with some important performance measures such as, probability of blocking or loss of customers, mean queue lengths, mean waiting times, etc.

Keywords: Markovian service process general independent arrival queue ﬁnite-buﬀer general bulk service rul

Published: 2010-05-16
Publisher: ACM

: http://dx.doi.org/10.4108/valuetools.2007.44

Finite-buffer bulk service queue under Markovian service process

Abstract

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