Study of Industrial Systems Using Supplementary Variable Technique

Abstract

The whole range of our work reported in this dissertation is covered into four chapters which are described as: Chapter-1: This Chapter is introductory in nature and contains the basic concepts including reliability engineering, reliability theory and modeling, system configurations, Lagrange’s Method and Runge-kutta 4th order Method. Chapter-2: This Chapter discusses the comparison between the availability of a pipe manufacturing industry when the Sub-Systems are subjected to simultaneously and independent failure. The failure rates of the subsystem are constant and repair rates are variable. Availability analysis of a system can benefit the industry in terms of higher productivity and low maintenance cost. It is possible to improve the availability of the of the plant with proper maintenance planning and monitoring. Reliability analysis helps us to obtain the necessary information about the control of various parameters. Chapter-3: The main intension of this Chapter is to develop and analyze a reliability model for polytube industry using supplementary variable technique. A mathematical model for the system is given in the form of differential difference equations and solved for obtaining steady state availability. The effect of various subsystems on the availability is also studied taking numerical data. Chapter-4: In this Chapter we discuss the finding of Chapter-2 and Chapter-3.