This paper analyzes a finite-buffer multiserver bulk-service queueing system in which the interarrival and service times are, respectively, arbitrarily and exponentially distributed. Using the supplementary variable and the imbedded Markov chain techniques, we obtain the queue-length distributions at prearrival and arbitrary epochs. We also present LaplaceStiltjes transform of the actual waiting-time distribution in the queue. Finally, several performance measures and a variety of numerical results in the form of tables and graphs are discussed. (c) 2007 Elsevier Inc. All rights reserved.
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Univ Complutense Madrid, Fac Math, Dept Stat & Operat Res 1, E-28040 Madrid, SpainUniv Complutense Madrid, Fac Math, Dept Stat & Operat Res 1, E-28040 Madrid, Spain
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Royal Mil Coll Canada, Dept Math & Comp Sci, STN Forces, POB 17000, Kingston, ON K7K 7B4, CanadaRoyal Mil Coll Canada, Dept Math & Comp Sci, STN Forces, POB 17000, Kingston, ON K7K 7B4, Canada
Chaudhry, Mohan
Banik, Abhijit Datta
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Indian Inst Technol Bhubaneswar, Sch Basic Sci, Permanent Campus Argul, Jatni 752050, Khurda, IndiaRoyal Mil Coll Canada, Dept Math & Comp Sci, STN Forces, POB 17000, Kingston, ON K7K 7B4, Canada
Banik, Abhijit Datta
Barik, Sitaram
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Indian Inst Technol Bhubaneswar, Sch Basic Sci, Permanent Campus Argul, Jatni 752050, Khurda, IndiaRoyal Mil Coll Canada, Dept Math & Comp Sci, STN Forces, POB 17000, Kingston, ON K7K 7B4, Canada
Barik, Sitaram
Goswami, Veena
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Kalinga Inst Ind Technol, Sch Comp Applicat, Bhubaneswar 751024, IndiaRoyal Mil Coll Canada, Dept Math & Comp Sci, STN Forces, POB 17000, Kingston, ON K7K 7B4, Canada