Heterogeneous Warm Standby Multi-Phase Systems With Variable Mission Time


Heterogeneous Warm Standby Multi-Phase Systems With Variable Mission Time


While the bulk of existing works on modeling and optimizing standby systems specialise in single-phased missions, only some works take into account standby systems with phased-mission necessities, and these works are only applicable to restricted cold-standby configurations with assumptions of negligible replacement times and fastened section durations. This paper makes new theoretical contributions by suggesting a general model of heterogeneous 1-out-of- N: G heat standby phased-mission systems (PMS) with dynamic phase durations. The model takes under consideration numerous, part-dependent performances and time-to-failure distributions of system components. It conjointly considers non-zero replacement times specific for activated parts, and for the mission part when the replacement happens. Each cold and hot standby PMSs are special cases of the proposed model. An algorithm for evaluating the mission reliability and expected completion time is initial presented. The algorithm is applicable to any type of your time-to-failure distribution for system elements. The heterogeneous standby PMS will demonstrate non-coherent behavior where the reduction of reliability of some parts can cause the rise of the entire mission reliability. Then it’s demonstrated that the sequence of the element activation affects the mission reliability and its expected completion time. Hence the component sequence optimization problem is more formulated and solved for the heterogeneous warm standby PMS. Illustrative examples of mission reliability and expected completion time analysis and optimization are presented.

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