In this research, a mathematics model is proposed to describe the mission availability for bounded-cumulative-downtime system. In the proposed model, the cumulative downtime and cumulative uptime are considered as constraints simultaneously. The mission availability can be defined as the probability that all repairs do not exceed the bounded cumulative downtime constraint of such system before ...

This investigation deals with transient analysis of cold standby system with n units . Chapman-Kolmogorov equations are developed for repair facility with two repairmen and solved by using matrix technique. Availability and reliability factors have been obtained with probability of the system. A particular case has also been discussed.

An availability model is developed to optimize the availability of a series repairable system with multiple k-out-of-n subsystems in this paper. There are two types of decision variables that determine the system designer’s decision to allocate the number of repairmen and to allocate the number of redundant components in each subsystem in the presence of weight, volume and cost constraint...

Engineers design systems to be reliable and work fulfil their missions without failure for a specific period. However, the system components deteriorate with time lead its failures. A frequent increases management costs, hence posing challenge decision-makers. Therefore, avoidance of failures, preventive maintenance is necessary. The objective any manufacturing firm maximize profit minimize cos...