Server-Vacation-Active service-Break down and repair-Equilibrium state queuing model
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DOI:
https://doi.org/10.26637/MJM0704/0041Abstract
This paper consists of an queuing system Server-Vacation-Active service-Breakdown Model I and Repair-
Equilibrium State Model II in which the server begins a vacation of random duration in each time that the system becomes empty. This complicated recover model from vacation to equilibrium model has not been studied widely, which suggests that the that the wide number of clients of customers present in the queueing system at a random time factor is distributed as the sum of two independent random variables: (i) the number of Poisson arrivals over a allotted time period distributed as the time of a vacation’s forward recurrence, and (ii) the range and the number of customers present in the corresponding regular queuing. This note provides an intuitive reason for this outcome, while offering a simpler and more elegant solution method at the same time.
Keywords:
Modified Bernoulli Vacation, Retrial Queue, Single server Queue, Server UtilizationMathematics Subject Classification:
Mathematics- Pages: 871-876
- Date Published: 01-10-2019
- Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)
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