On the Maintenance of a System of Machines by One Repairman/حول صيانة نظام من الآلات من قبل فنى اصلاح واحد

The system in question consists of n machines of the same type, where m of these machines may require the attention of a repairman at random instants. operation, the repairman spends time z repairing one of them, and the whole system can operate for time x before becoming idle. P(x): The probability...

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Bibliographic Details
Main Author: Ahmed Omar.
Published: INP 2024
Online Access:http://repository.inp.edu.eg//handle/123456789/5800
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Summary:The system in question consists of n machines of the same type, where m of these machines may require the attention of a repairman at random instants. operation, the repairman spends time z repairing one of them, and the whole system can operate for time x before becoming idle. P(x): The probability that the system can operate for time x. Then, (x) = 1 - P(x) is the distribution function of the operational time of the system. It is clear that P(x) = 4% (x, 0).