MATHEMATICAL MODELING AND AVAILABILITY ANALYSIS OF STEEL INDUSTRIAL SYSTEM IN HISAR DISTRICT

Abstract

This paper presents a mathematical modeling and availability analysis of a steel industrial system located in Hisar District Haryana employing the Regenerative Point Graphical Technique RPGT. The case study focuses on a stainless steel manufacturing plant comprising four essential subsystems Grinding Descaling Hot Steckel Mill and Cutter Machine configured in series. Each subsystems failure and repair rates are assumed to be constant and a comprehensive state transition diagram is constructed to depict all possible operational and failed states of the system. Using RPGT the study derives analytical expressions for critical reliability metrics including mean time to system failure MTSF system availability mean sojourn times server busy period and expected number of server visits. Numerical examples are provided to demonstrate the effect of varying failure and repair rates on system availability and profitability with results presented through tables and graphical illustrations. The findings offer valuable insights for plant management supporting improved decision making for reliability maintainability and profit optimization in the context of the steel industry in Haryana.