On Markovian Queueing Model as Birth-Death Process

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K23XR

On Markovian Queueing Model as Birth-Death Process

Okoro Otonritse Joshua
Okoro Otonritse Joshua UNIVERSITY OF IBADAN
DOI

Abstract

Markovian queueing model has so many application in real life situations. Places where Markovian queueing model can be applied include, Supermarket, Production system, Post office, data communication, parking place, assembly of printed circuit boards, call center of an insurance company, main frame computer, toll booths, traffic lights, e.t.c. Birth-death process has being markovian foundation on queueing models. This article is an eye opener to novice researchers, since it explore Markovian queueing model in real life situation. The fundamental of Markovian Queueing model as birth and death process is hereby reviewed in this article, with fundamental results applications in M / M / 1, M / M / S, M / M / 1/ K , and M / M / s / K. Here we reexamined; Average Number of Customers and average number of time in the system, waiting in the queue, in service respectfully. These summaries of these results are also tabulated.

On Markovian Queueing Model as Birth-Death Process

Markovian queueing model has so many application in real life situations. Places where Markovian queueing model can be applied include, Supermarket, Production system, Post office, data communication, parking place, assembly of printed circuit boards, call center of an insurance company, main frame computer, toll booths, traffic lights, e.t.c. Birth-death process has being markovian foundation on queueing models. This article is an eye opener to novice researchers, since it explore Markovian queueing model in real life situation. The fundamental of Markovian Queueing model as birth and death process is hereby reviewed in this article, with fundamental results applications in M / M / 1, M / M / S, M / M / 1/ K , and M / M / s / K. Here we reexamined; Average Number of Customers and average number of time in the system, waiting in the queue, in service respectfully. These summaries of these results are also tabulated.

Okoro Otonritse Joshua
Okoro Otonritse Joshua UNIVERSITY OF IBADAN

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Okoro Otonritse Joshua. 2014. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F11): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR Volume 13 Issue F11
Pg. 21- 40
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On Markovian Queueing Model as Birth-Death Process

Okoro Otonritse Joshua
Okoro Otonritse Joshua UNIVERSITY OF IBADAN

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