Abstract
In this paper the model of servicing machines with repairable facility is further studied. By standard conditioning decomposition argument, two reliability indices-the probability that the service facility fails at time t and the expected number of failure occurring during (0, t] are discussed. Some important relations of them are given. Furthermore, some new reliability problems are presented and discussed as follows: 1) The numbers of the service facility failures during the generalized service time and the generalized busy period; 2) The asymptotic expansion of the expected failure number of the service facility during (0, t]. A series of new reliability results of the service facility are obtained.
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Supported by the National Natural Science Foundation of China (No. 70871084) and the Specialized Research Fund for the Doctoral Profram of Higher Education of China (No. 200806360001).
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Tang, Yh. Revisiting the model of servicing machines with repairable service facility-a new analyzing idea and some new results. Acta Math. Appl. Sin. Engl. Ser. 26, 557–566 (2010). https://doi.org/10.1007/s10255-008-8029-6
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DOI: https://doi.org/10.1007/s10255-008-8029-6