In this paper, multi-state systems in star configuration with performance sharing mechanism under minor failures and repairs are proposed. This study explores two different types of systems i.e. \(k\) -out-of- \(n\) and \(k\) -out-of- \((n+1).\) These systems consist ‘ \({n}\) ’ terminal servers which are connected to the central server via transmission lines. According to performance sharing mechanism, terminal servers with sufficient performance can transmit the redundant performance to the central server, and then the collected performance further redistributed to the terminal servers with performance deficiency. The \(k\) -out-of- \(n\) system fails when at least ‘ \({k}\) ’ terminal servers not fulfill the demand of system. Similarly, \(k\) -out-of- \((n+1)\) system fails when at least \(\left(k-1\right)\) reserve servers and main server not fulfill the demand of the system. To deal with this problem, in the present study an algorithm based on the performance sharing mechanisms with the application of \({L}_{z}\) -transform is presented and obtained the reliability and availability for the considered system. Finally, a case study of data processing system with star configuration is used to illustrate proposed method.
