Stochastic analysis of a 2-unit standby system with two failure modes and slow switch

• Published in: Microelectronics and reliability Vol. 29; no. 4; pp. 493 - 498
• Main Authors: Goel, L.R., Sharma, S.C.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 1989; Elsevier
• Subjects: Applied sciences; Exact sciences and technology; Operational research and scientific management; Operational research. Management science; Reliability theory. Replacement problems
• ISSN: 0026-2714; 1872-941X
• DOI: 10.1016/0026-2714(89)90332-6

This paper considers the cost-benefit analysis of a one-server two unit system subject to two different failure modes and slow switch. The failure rates of the units are constant. The repair times and the switchover time are assumed to be arbitrarily distributed. The server repairs the units and puts the standby unit into operation. Detailed analysis of the system is done by using regenerating point technique and results are obtained for mean time to system failure, steady state availability, busy period of a repair man, expected number of visits by the repair man and expected profit earned by the system.