Multi-Machine Repairable System with One Unreliable Server and Variable Repair Rate

This paper analyzed the multi-machine repairable system with one unreliable server and repairman. The machines may break at any time. One oversees servicing machine breakdown. fail time different failure rates in idle busy repairman is responsible for repairing failure; repair rate variable to adapt whether are all functioning normally or not. All distributions exponential. Using quasi-birth-death(QBD) process theory, steady-state availability of machines, server, other indices given. transient-state system, including reliability obtained by solving probabilistic differential equations. Laplace–Stieltjes transform method used ascertain mean first breakdown server. case analysis numerical illustration presented visualize effects parameters on various performance indices.