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OALib Journal期刊
ISSN: 2333-9721
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AN M~([X])/G/1 REPAIRABLE QUEUEING SYSTEM WITH NEGATIVE CUSTOMERS AND RANDOM VACATION ON NON-EXHAUSTIVE SERVICE
带负顾客和非空竭服务随机休假的M~([x])/G/1可修排队系统

Keywords: Stochastic operations research,repairable queueing system,negative customer,random vacation,Markov chain
随机运筹学
,可修排队系统,负顾客,随机休假,马尔可夫链.

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Abstract:

This paper considers an M~(X])/G/1 queue with negative customers and random vacation on non-exhaustive service subject to the server breakdowns and repairs.Negative customers not only remove the customer being in service,but also make the server under repair. The necessary and sufficient condition for the system stability is obtained by constructing a Markov chain with a absorb state.The queue and the main reliability indices of server are derived with the method of supplementary variables.At last a numeri...

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