Analysis of a single server serving three queues m[x 1 ] /g1/1, m[x 2 ] /g2/1 , m[x 3 ] /g3/1 with priority services, working breakdown, modified bernoulli vacation

نویسندگان

چکیده

In this paper considers M[X1]/G1/1, M[X2]/G2/1 , M[X3]/G3/1 general queueing system with priority services . Three types of customers from different classes arrive at the in independent Poisson process. The server follows non preemptive rule subject to working breakdown, and modified Bernoulli vacation (arbitrary) periods. After completing service, if there is no high present system. time dependent probability generating functions have been obtained terms their Laplace transforms corresponding steady state results are obtained. Also average number customer priority, queue waiting derived.

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ژورنال

عنوان ژورنال: Journal of computational mathematics

سال: 2022

ISSN: ['2456-8686']

DOI: https://doi.org/10.26524/cm130