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系统科学与数学 2010
AN M~([X])/G/1 REPAIRABLE QUEUEING SYSTEM WITH NEGATIVE CUSTOMERS AND RANDOM VACATION ON NON-EXHAUSTIVE SERVICE
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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...