Standby System with Imperfect Coverage and Repairable Service Station

10.6186/IJIMS.2016.27.3.6

Ying-Lin Hsu；Ying-Cheng Tseng；Chia-Jung Chang；Fu-Min Chang

Imperfect coverage ； service station breaks down ； reliability ； MTTF ； sensitivity analysis

International Journal of Information and Management Sciences

27卷3期（2016 / 09 / 01）

299 - 316

英文

This paper analyzes the reliability characteristics of a system with imperfect coverage in which a repairable service station is considered. Failure times of primary and standby units are assumed to follow exponential distributions. With a coverage probability c, a failed unit is immediately detected and replaced by a standby if one is available. If the failed unit is not detected, the system enters an unsafe failure state and has to be refreshed by a reboot action. When the service station breaks down, it needs repair at a repair device. We present the expression for reliability function R_Y (t) and mean time to system failure MT TF. Several cases are analyzed to study the effects of various parameters on the system reliability R_Y (t) and MT TF. We also perform the sensitivity analysis of R_Y (t) and MT TF with respect to system parameters. Finally, we present an application example to demonstrate the applicability of investigated model.

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