Product form in networks of queues with negative customers

AUTHOR AND
AFFILIATION

1PUSHPANDRA KUMAR and 2ARIF NADEEM

KEYWORDS:

Queue with negative customers, negative arrivals, product form solution, networks of queues

Issue Date:

April 2013

Pages:

ISSN:

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

Source:

Vol.25 – No.1

PDF

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DOI:

jusps-A

ABSTRACT:

In this paper, we introduce a new classes of queueing networks with “negative customers”. A negative customer arriving to a queue reduces the total customers count in that queue by one negative customer donot receive service applications for such negative customer queueing networks include certain transaction models and certain neural network models. Even though the underlying equations of the models to be described can be nolinear they do have a product form solution for the equilibrium state probabilities.

Copy the following to cite this Article:

1PUSHPANDRA KUMAR and 2ARIF NADEEM, “Product form in networks of queues with negative customers”, Journal of Ultra Scientist of Physical Sciences, Volume 25, Issue 1, Page Number , 2016


Copy the following to cite this URL:

1PUSHPANDRA KUMAR and 2ARIF NADEEM, “Product form in networks of queues with negative customers”, Journal of Ultra Scientist of Physical Sciences, Volume 25, Issue 1, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/257/


In this paper, we introduce a new classes of queueing networks with “negative customers”. A negative customer arriving to a queue reduces the total customers count in that queue by one negative customer donot receive service applications for such negative customer queueing networks include certain transaction models and certain neural network models. Even though the underlying equations of the models to be described can be nolinear they do have a product form solution for the equilibrium state probabilities.