Analysis of finite buffer renewal input queue with balking and multiple working vacations View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2013-12

AUTHORS

P. Vijaya Laxmi, K. Jyothsna

ABSTRACT

This paper analyzes a finite buffer single server queueing system with multiple working vacations in which customers balk (i.e., refuse to join the queue). The inter-arrival times and service times during regular busy period are, respectively, arbitrarily and exponentially distributed. Vacation times and service times during vacation are exponentially distributed. Using embedded Markov chain and supplementary variable techniques, we obtain the system length distributions at pre-arrival and arbitrary epochs. Various performance measures of the model, waiting time analysis and some special cases are also presented. Finally, a variety of numerical results in the form of tables and graphs are discussed. More... »

PAGES

548-565

References to SciGraph publications

  • 1986-06. Queueing systems with vacations — A survey in QUEUEING SYSTEMS
  • 2006. Vacation Queueing Models Theory and Applications in NONE
  • 1959-03. Balking in the queueing system GI/M/1 in ACTA MATHEMATICA
  • 1996-06. The Finite Capacity GI/M/1 Queue with Server Vacations in JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
  • Journal

    TITLE

    OPSEARCH

    ISSUE

    4

    VOLUME

    50

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s12597-013-0123-8

    DOI

    http://dx.doi.org/10.1007/s12597-013-0123-8

    DIMENSIONS

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