Mathematical analysis of regenerative point graphical technique (RPGT )

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_MACA-4-4_005

تاریخ نمایه سازی: 6 شهریور 1402

Abstract:

In this paper, the behavioural analysis of a single-unit subdivision after a complete failure using the Regenerative Point Graphical Technique (RPGT) is discussed. Initially, the unit is fully operational which may have two types of malfunction, one is direct and the second is the partial failure mode. There is one server (fixer) that checks and fixes the unit for each failure. Incomplete failure of the unit cannot be restored to its original capacity. Each repair unit is subject to vandalism if the server reports that the unit cannot be repaired and replaced, following a normal distribution. The vague concept is used to determine unit failure/performance. Considering the levels of failure to be exponential, adjustment values are common and taking into account various possibilities, the system transformation diagram is developed to determine Primary, Second Circuits & Higher Education Foundations and Basic Status. The problem is constructed and resolved using RPGT to determine system parameters. System behaviour is discussed with the help of graphs.

Keywords:

Availability , Expected Busy Period , Regenerative Point Graphical Technique

Authors

Shakuntla Singla

Department of Mathematics and Humanities, Maharishi Markandeshwar (Deemed to be University), Mullana, Ambala-۱۳۳۲۰۷, Haryana, India

Pooja Dhawan

Department of Mathematics and Humanities, Maharishi Markandeshwar (Deemed to be University), Mullana, Ambala-۱۳۳۲۰۷, Haryana, India