EVALUATION OF RELIABILITY AND AVAILABILITY CHARACTERISTICS OF TWO DIFFERENT SYSTEMS USING LINEAR FIRST ORDER DIFFERENTIAL EQUATION

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EVALUATION OF RELIABILITY AND AVAILABILITY CHARACTERISTICS OF TWO DIFFERENT SYSTEMS USING LINEAR FIRST ORDER DIFFERENTIAL EQUATION (STATISTICS PROJECT TOPICS AND MATERIALS)

ABSTRACT

This study deals with the reliability and availability characteristics of two different systems, the second system differs from the first system due to the additional feature of preventive maintenance. Reliability and Availability analysis of system having one active unit and one warm stand-by unit with self-reset function and one maintenance facility. The failure unit is repaired through self-reset or maintenance according to different failure model.( Mean Time to System Failure), Steady- State Availability, Busy Period Analysis and Profit Function are derived for the two systems using linear first order differential equations. Two systems were evaluated theoretically and graphically to observe the effect of preventive maintenance on systems performance. The result finally shows that increase in failure rate leads to decrease in MTSF, Steady-State Availability and Profit Function of figure 4.1, 4.2 and 4.3. It was also found that increase in repair rate leads to increase in MTSF, Steady-State Availability and Profit Function of figure 4.4, 4.5, and 4.6. Therefore, the result indicated that second system originate better reliability due to the additional feature of preventive maintenance.

CHAPTER ONE

1.0 GENERAL INTRODUCTION

1.1 Introduction:

The role and importance of reliability have been a core of any engineering industry for the last three decades. Reliability is of importance to both manufacturers and consumers. So, the reliability measure is very important, as the improvement of reliability is achieved through quality. While this measure of reliability assumes great importance in industry, there are many situations where continuous failure free performance of the system, though desirable may not be absolutely necessary, Yadavalli and Vanwyk (2012).

Several authors have studied a two (or more) similar and dissimilar unit standby redundant system. Haggag (2009a), studied the cost analysis of dissimilar-unit cold-standby system with three state and preventive maintenance using linear first order differential equations.

El-sherbeny et al (2009), studied the optimal system for series systems with warm standby components and a repairable service station. Researchers in reliability have shown a keen interest in the analysis of two (or more) component parallel system owing to their practical utility in modern industrial and technological set ups.