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A machine interference model with threshold effect

Published online by Cambridge University Press:  14 July 2016

Karmeshu  and
N. K. Jaiswal
Karmeshu*
Affiliation:
University of Waterloo
N. K. Jaiswal*
Affiliation:
Indian Statistical Institute
*
∗Postal address: Department of Physics, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1.
∗∗Postal address: Indian Statistical Institute, 7, S.J.S. Sansanwal Marg, New Delhi–110029, India.
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Abstract

A non-linear stochastic model for the single-server machine interference problem is investigated. The service rate is a rational function of the number of failed machines, the numerator as well as the denominator of the function being linear in n. Depending on the relative values of the parameters involved, the service rate may increase or decrease with n, exhibiting the incentive or disincentive effect. The analysis is carried out by the usual diffusion approximation technique. A notable feature of this model is the threshold effect exhibited in the mean queue size.

Keywords

DIFFUSION APPROXIMATIONFOKKER-PLANCK EQUATIONMACHINE INTERFERENCE MODELTHRESHOLD EFFECT
Type
Research Papers
Information
Journal of Applied Probability , Volume 18 , Issue 2 , June 1981 , pp. 491 - 498
Copyright
Copyright © Applied Probability Trust 

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