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Asian Journal of Scientific Research
  Year: 2018 | Volume: 11 | Issue: 2 | Page No.: 240-255
DOI: 10.3923/ajsr.2018.240.255
 
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Maintainability and Capability of the Multi-Server System in Repairing Defective Machine Configurations with Different Probability Distributions

I.M. Hanafy, Mohammed Mohammed El-Genidy and Esraa Ahmed Hebeshy

Abstract:
Background and Objective: 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. Methodology: The moment’s method and its corresponding software implementation are applied to estimate the parameters of the exponential, Weibull, Gamma and normal distributions. Moreover, 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. Results: 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, evaluate the capability and efficiency of the system. Conclusion: 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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How to cite this article:

I.M. Hanafy, Mohammed Mohammed El-Genidy and Esraa Ahmed Hebeshy, 2018. Maintainability and Capability of the Multi-Server System in Repairing Defective Machine Configurations with Different Probability Distributions. Asian Journal of Scientific Research, 11: 240-255.

DOI: 10.3923/ajsr.2018.240.255

URL: https://scialert.net/abstract/?doi=ajsr.2018.240.255

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