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Articles by Esraa Ahmed Hebeshy
Total Records ( 2 ) for Esraa Ahmed Hebeshy
  Mohammed Mohammed El Genidy and Esraa Ahmed Hebeshy
  Background and Objective: In engineering, redundancy is the duplication of critical components or functions of a system with the intention of increasing reliability and decreasing the failure rate of the system, usually in the case of fail-safe. This study aimed to create mathematical model to find the optimum values of the distribution parameters of the triple modular redundant system. Therefore, the system will be higher safety, longer lifetime and higher reliability with smaller failure rate. Methodology: The maximum likelihood estimation and order statistics were applied to estimate the optimum values of the failure rate, reliability and lifetime for the Triple Modular Redundancy (TMR) system, which contains three electronic redundancy units with Weibull distribution. Results: The numerical values of the failure rate, reliability and lifetime of the triple modular redundant system were obtained using Weibull distribution. Conclusion: Thus, the designing of TMR system can be longer lifetime and higher safety. Moreover, the risks of sudden failure and economic losses will be decreased.
  I.M. Hanafy , Mohammed Mohammed El-Genidy and Esraa Ahmed Hebeshy
  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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