# Revisiting the model of servicing machines with repairable service facility-a new analyzing idea and some new results

Revisiting the model of servicing machines with repairable service facility-a new analyzing idea... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

# Revisiting the model of servicing machines with repairable service facility-a new analyzing idea and some new results

, Volume 26 (4) – Mar 23, 2009
10 pages

/lp/springer-journals/revisiting-the-model-of-servicing-machines-with-repairable-service-A5wfc0uKh0
Publisher
Springer Journals
Subject
Mathematics; Theoretical, Mathematical and Computational Physics; Math Applications in Computer Science; Applications of Mathematics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-008-8029-6
Publisher site
See Article on Publisher Site

### 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.

### Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Mar 23, 2009

### References

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