MATHEMATICAL MODELING AND BEHAVIOR ANALYSIS OF A JUICE PLANT

Abstract

This study uses RPGT to analyses the behavior of a three-unit system and analyses system parameters. Since all of the units, A, B, and D, has parallel subcomponents, the system can still function even if one unit is operating at a reduced capacity. Due to the differing failure distributions across the three components, the system collapses when any one of them fails. RPGT is used to obtain expressions for System parameter values. To compare the failure and repair rates and their impact on the parameter values, graphs and tables are created. Additionally, profit optimization is covered.

Keywords: RPGT, Optimization, MTSF, Busy Period, Increasing failure and repair rates, Steady State.