Maintainability and capability of multi-server system in repairing defective machine

What is it about?

The efficiency study of the defective machine repairing system is an imperative field in the industrial engineering because it depends on the elapsed time of repairing defective machines in multi-server system configurations. This study seeks to introduce an accurate statistical method for different cases of the multi-server system in order to obtain important statistics such as the failure rate, reliability, availability, maintainability, capability, and efficiency of the repairing machine system. The moment’s method and its corresponding software implementation are applied to estimate the parameters of the exponential, Weibull, Gamma, and normal distributions. Moreover, we conduct a simulation study to generate a dataset of the time of servers in the general case. Finally, Anderson-Darling test is performed to fit datasets with the aforementioned distributions. The equations of failure rate, reliability, maintainability, unreliability, availability, nonlinear regression are derived for each stage of the repairing time of the system under consideration and also for the entire system. Thus, in this study, we evaluate the capability and efficiency of the system. The statistical method, used in this study, shows that it is possible for researchers to find all characteristics of each server in the multi-repairing systems as well as the entire system. As a result, the safety of designing multi-server system will be increased and the economic losses will be reduced.

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Why is it important?

This study shows that the statistical method, used here, gives accurate results of the multi-server system of repairing defective machines, the point that is highly beneficial to the industrial workshop applications. It also helps uncover the critical areas of the time lost in repairing defective machines, and the cost spent on adding unnecessary new servers to an operating system. Now, researchers can work out a new statistical method of multi-server systems and, possibly, of other new distributions.