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

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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.


TABLE OF CONTENTS

Title Page
TABLE OF CONTENTS
NOTATIONS/ABBREVIATIONS
LIST OF FIGURES
ABSTRACT

CHAPTER ONE
1.0: GENERAL INTRODUCTION
1.1: Introduction
1.2: Background to the Study
1.3: Reliability Measures
1.3.1: Reliability
1.3.2: Mean Time to Failure
1.3.3: Failure Rate Function and Repair Rate Function
1.3.4: Maintainability and Availability
1.3.5: Mean Time to Failure (MTTF) and Mean Time Between Failure (MTBF)
1.3.6: Preventive Maintenance
1.4: Aim and Objectives
1.5: Scope and Limitation
1.6: Suggestions for Further Studies

CHAPTER TWO
2.0: LITERATURE REVIEW
2.1: Relationship between Availability, Reliability and Maintainability
2.2: Availability Classification
2.3: Standby Classification

CHAPTER THREE
3.0: RESEARCH METHODOLOGY
3.1: Introduction
3.2: Model Description and Assumptions
3.3: FIRST TRANSITION SYSTEM
3.4: SECOND TRANSITION SYSTEM
3.4.1: Mean Time to System Failure ( MTSF1 )
3.4.2: Steady-State Availability ( AT )
3.4.3: Busy Period Analysis (BP1)
3.4.4: Profit Function (PF1)
3.4.5: Mean Time to System Failure ( MTSF2 )
3.4.6: Steady-State Availability AT 
3.4.7: Busy period Analysis (BP2)
3.4.8: Profit Function (PF2)

CHAPTR FOUR
4.0: RESULT AND DISCUSSION
4.1: Introduction
4.1.1: Mean Time to System Failure ( MTSF1 )
4.1.2: Steady-State Availability  AT  
4.1.3: Busy Period Analysis ( BP )
4.1.4: Mean Time to System Failure ( MTSF2 )
4.1.5: Steady –State Availability AT 
4.1.6: Busy Period Analysis ( BP2 )
4.2: Discussion of Result

CHAPTER FIVE
5.0: SUMMARY AND CONCLUSSION
5.1: Summary
5.2: Conclusion

REFERENCES


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.


Two unit warm standby redundant systems have been investigated extensively in the past. The most general model is the one in which both the life time and repair time distributions of the units are arbitrary. However the study of standby system with more than two units, though very important, has received much less attention, possibly because of the built in difficulties in analyzing them. Such systems have been studied only when either the life time or the repair time is exponentially distributed. When both these are general, the....


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