The reliability function and the availability of a duplication redundant system with a single service facility for preventive maintenance and repair

Abstract This paper concerns a two-unit system with a cold standby and a single service facility for the performance of preventive maintenance and repair. Explicit expressions for the Laplace transforms of the availability of the system, the reliability, the mean down time during (0, t) and for the mean time to system failure have been obtained under the assumption that the failure times, the inspection times, the repair times and the preventive maintenance times of the two units are governed by distinct arbitrary general distributions. The results obtained by Srinivasan and Gopalan and by Gopalan and d'Souza are derived from the present results as special cases.

[1]  T. E. Harris,et al.  On the Theory of Age-Dependent Stochastic Branching Processes. , 1948, Proceedings of the National Academy of Sciences of the United States of America.

[2]  M. N. Gopalan,et al.  Technical Note - Probabilistic Analysis of a Two-Unit System with a Single Service Facility for Preventive Maintenance and Repair , 1975, Oper. Res..

[3]  Walter L. Smith,et al.  Regenerative stochastic processes , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[4]  S. K. Srinivasan,et al.  Probabilistic Analysis of a 2-Unit Cold-Standby System with a Single Repair Facility , 1973 .