Production form solutions for open and closed networks of queueing models

AUTHOR AND
AFFILIATION

PUSHPANDRA KUMAR and ARIF NADEEM1
Deparment of Mathematics ,MJP Rohilkhand University Bareilly UP India

1Deparment of Mathematics ,Bareilly College Bareilly UPIndia

KEYWORDS:

Open and closed network, networks of queues, product form solution, Global balance equation.

Issue Date:

December 2011

Pages:

621-628

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.23 – No.3

PDF

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DOI:

jusps-A

ABSTRACT:

In this paper, we propose and analyze production form solutions open and closed networks of queues. Simple analytical results are usually only possible for Markovian queueing networks. We will start by establishing the product form solution for the equilibrium state probabilities for such network. The existence of the product form solution basically nears that the joint state probability can be expressed as a simple product of function associated with a networks individual queues. We generalized the families of queueing network known to have the product form solution.

Copy the following to cite this Article:

PUSHPANDRA KUMAR and ARIF NADEEM1 , “Production form solutions for open and closed networks of queueing models “, Journal of Ultra Scientist of Physical Sciences, Volume 23, Issue 3, Page Number 621-628, 2016


Copy the following to cite this URL:

PUSHPANDRA KUMAR and ARIF NADEEM1 , “Production form solutions for open and closed networks of queueing models “, Journal of Ultra Scientist of Physical Sciences, Volume 23, Issue 3, Page Number 621-628, 2016

Available from: http://www.ultrascientist.org/paper/722/


In this paper, we propose and analyze production form solutions open and closed networks of queues. Simple analytical results are usually only possible for Markovian queueing networks. We will start by establishing the product form solution for the equilibrium state probabilities for such network. The existence of the product form solution basically nears that the joint state probability can be expressed as a simple product of function associated with a networks individual queues. We generalized the families of queueing network known to have the product form solution.