Author(s): Ying-hui Tang 1, 2 1School of Fundamental Education, Sichuan Normal University, Chengdu 610066, China2 School of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China
Pages: 557-566
Year: 2010 Issue:  4
Journal: Acta Mathematicae Applicatae Sinica
Keyword:  Repairable service facility;  reliability index;  failure number;  breakdown;
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.