Some Indices Of The Steady-State and An Optimization Problem Of A Warm Standby System With Priority
In this paper we consider an optimization problem for a warm standby repairable system that consists of two dissimilar components and one repairman. Suppose that the life of each component satisfies the exponentially distribution and the repair time of the component satisfies the general distribution, the component 1 has priority in use and repair. Firstly, a mathematical model is built via the differential and partial differential equations, and some basic results such as the existence and uniqueness of the solution, the non-negative steady- state solution, the exponential stability of the system and some indices of the steady-state are derived. Based on the stability result, we discuss an optimization problem about the normal availability of the system.
C0 Semigroup Steady-state Reliability Asymptotic Stability Exponential Stability Normal Availability
Lixia Ma Genqi Xu
Department of Mathematics, Tianjin University, Tianjin 300072, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
177-182
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）