Mathematical Modeling And Expected Number Of Server’s Visits Of The Finishing Plant Haryana Using Rpgt
Keywords:
Mathematical Modeling, RPGT, Reliability Analysis, Expected Server Visits, Cold Standby, HaryanaAbstract
This study develops a mathematical model for the reliability analysis and expected number of repairman visits in a textile dyeing and finishing plant in Haryana, employing the Regenerative Point Graphical Technique (RPGT). The plant’s operation, which involves Scouring, Bleaching, Dyeing, and Finishing units, is critically dependent on each subsystem’s reliability, particularly as the finishing stage incorporates a cold standby configuration. Analytical expressions are derived for mean time to system failure (MTSF), availability, server busy period, and the expected number of repairman visits under varying failure and repair rates. Sensitivity analysis reveals how these parameters influence maintenance demands and system resilience. The findings provide actionable insights for plant managers seeking to optimize preventive maintenance, minimize downtime, and enhance operational efficiency in textile finishing plants.
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