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Tables of Contents for Contributions to Hardware and Software Reliability
Chapter/Section Title
Page #
Page Count
1 PRELIMINARY CONCEPTS AND BACKGROUND
1
24
1.1 INTRODUCTION
1
1
1.2 DEFINITIONS AND CONCEPTS IN RENEWAL THEORY
1
9
1.2.1 Definitions
1
3
1.2.2 Concepts in Renewal Theory
4
6
1.3 SOFTWARE RELIABILITY -- AN OVERVIEW
10
6
1.4 TERMS USED IN SOFTWARE RELIABILITY
16
9
2 REPLACEMENT POLICIES WITH MINIMAL REPAIRS
25
34
2.1 INTRODUCTION
25
1
2.2 DIFFERENT POLICIES
26
2
2.3 REPLACEMENT POLICIES WITH MINIMAL REPAIRS
28
9
2.3.1 Model I
28
2
2.3.2 Model II
30
2
2.3.3 Model III
32
2
2.3.4 Model IV
34
2
2.3.5 Model V
36
1
2.4 OPTIMISATION
37
1
2.5 APPLICATIONS
38
1
2.6 ORDERING POLICIES UNDER MINIMAL REPAIRS
39
8
2.6.1 Ordering policies based on repair cost limit criterion
39
8
2.7 GENERALISED ORDERING POLICIES
47
5
2.7.1 The Policies
47
5
2.8 APPENDIX A
52
1
2.9 APPENDIX B
52
7
3 PROBLEMS WITH APPLICATIONS TO COMPUTING SYSTEMS
59
26
3.1 INTRODUCTION
59
1
3.1.1 Interval Reliability Computation
59
1
3.1.2 Inspection Policies
60
1
3.1.3 A General Replacement Policy
60
1
3.2 RELIABILITY INDICATORS
60
8
3.2.1 Interval Reliability for Repairable Computing Systems
60
2
3.2.2 Interval Reliability Computation
62
2
3.2.3 Numerical Computation Procedure and Algorithm
64
3
3.2.4 Further Extension
67
1
3.3 OPTIMAL INSPECTION TIMES
68
7
3.4 MINIMAL REPAIRS BEFORE REPLACEMENT WITH REPAIR COST LIMIT
75
10
3.4.1 Optimisation
78
1
3.4.2 Further Applications
79
6
4 SOFTWARE RELIABILITY GROWTH MODELS BASED ON NHPP
85
48
4.1 INTRODUCTION
85
1
4.2 CONTINUOUS SRGMs
85
7
4.3 DISCRETE SRGMs
92
4
4.4 ESTIMATION OF PARAMETERS
96
1
4.4.1 Estimation of Parameters for Continuous SRGMs
96
1
4.4.2 Estimation of Parameters for Discrete SRGMs
96
1
4.5 COMPARISON CRITERIA
97
1
4.5.1 The Goodness of Fit Criterion
97
1
4.5.2 The Predictive Validity Criterion
97
1
4.6 DATA ANALYSIS BASED ON GENERALISED ERLAND MODEL
98
3
4.6.1 Goodness of Fit Analysis
98
2
4.6.2 Predictive Validity Analysis
100
1
4.7 GENERALISED ERLAND MODEL
101
6
4.7.1 Validation of the Extended Model
102
5
4.8 MODEL SELECTION
107
1
4.9 RELIABILITY MEASUREMENT FOR GENERALISED ERLAND MODEL WITH n TYPES OF FAULTS
108
1
4.10 MODEL FOR OBJECT ORIENTED SOFTWARE SYSTEMS
109
24
5 RELEASE POLICIES
133
24
5.1 INTRODUCTION
133
1
5.2 RELEASE POLICIES BASED ON DIFFERENT CRITERIA
133
15
5.2.1 Cost Criterion
134
1
5.2.2 Reliability Criterion
134
1
5.2.3 Cost and Reliability Criterion
134
1
5.2.4 Cost and Reliability Criteria Under Penalty Cost
135
2
5.2.5 Release Policy with Testing Effort
137
1
5.2.6 Release Policy When the Life Cycle Is Random
138
1
5.2.7 Bicriterion Release Policy
139
4
5.2.8 Post Optimality Analysis
143
2
5.2.9 Optimum Release Policy for a Log-Power Model
145
3
5.3 OPTIMAL RELEASE POLICY FOR A DISCRETE SRGM
148
1
5.4 TESTING EFFORT CONTROL PROBLEM
149
3
5.5 RESOURCE ALLOCATION FOR A MODULAR STRUCTURE
152
5
6 NUMERICAL COMPUTATIONS IN RENEWAL AND RELIABILITY THEORY
157
34
6.1 INTRODUCTION
157
1
6.2 RENEWALS IN CONTINUOUS TIME
158
13
6.2.1 Expected Number of Renewals in Time t: E(N(t))
158
2
6.2.2 Variance of the Number of Renewals
160
3
6.2.3 Approximations for Weibull and Gamma Distributions
163
2
6.2.4 First Two Moments of The Number of Renewals In Discrete Time
165
6
6.3 TRANSIENT SOLUTIONS IN DISCRETE TIME IN RELIABILITY
171
9
6.3.1 Reliability Analysis
174
3
6.3.2 Continuous-time Case
177
1
6.3.3 Some Particular Cases
177
3
6.4 SRGM WITH IMPERFECT DEBUGGING AND FAULTS
180
11
INDEX
191