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Some Reliability Problems Arising in the M~x/G(M/G)/1 Repairable Queueing System with Single Delay Vacation
Authors:TANG Ying-hui
Abstract:On the basis of Ref. [1], the Mx/G(M/G)/1 repairable queueing system with single delay vacation is discussed again. The following reliability problems of the service station are studied: (a) The probability that it fails at time t, i.e. its unavailability; (b) The expected failure number during the time interval (0,t]; (c) The expected failure number during the "server busy period"; (d) The expected downtime during the time interval (0,t]. Some reliability results of the service station are obtained. These results would be interest to reliability analysts.
Keywords:repairable  vacation  service station  unavailability  failure number  downtime
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