Reliability Analysis of Multyprocessor Systems

多处理机系统可靠性分析
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Author: Zhou Mingshu
Language: English
ISBN/ISSN: 9787030643087
Published on: 2020-05
Soft Cover

Chapter 1 Basic of Graph and Network 1
 1.1 Fundamentals 1
 1.1.1 Introduction 1 Fault Diagnosability of (n,k)-Star Graph 82
 1.1.2 Progress in Reliability Evaluation 3
 1.2 Fault Diagnostic Models 5
 1.2.1 Diagnostic Model Based on Testing 5
 1.2.2 Diagnostic Model Based on Comparison 8
 1.3 Well-Known Network Topologies 10
 1.3.1 Hypercube and Its Generalizations 11
 1.3.2 Star Graph and Its Generalizations 22
 Chapter 2 Fault Diagnosability of Star Graph 30
 2.1 Fault Tolerance Properties of Star Graph 30
 2.1.1 Introduction 30
 2.1.2 Structural Robustness Properties of Star Graph 31
 2.2 Conditional Diagnosability of Star Graph 41
 2.2.1 Introduction 41
 2.2.2 Preliminaries 42
 2.2.3 Conditional Diagnosability of Star Graph 42
 2.3 g-Extra Diagnosability of Star Graph 56
 2.3.1 Introduction 57
 2.3.2 g-Extra Connectivity of Star Graph 58
 2.3.3 g-Extra Diagnosability of Star Graph 68
 2.4 t=k-Diagnosability of Star Graph 72
 2.4.1 Introduction 73
 2.4.2 t=k-Diagnosability of Star Graph 75
 2.4.3 Review on Related Works 78
 2.5 Remarks 80
 Chapter 3
 3.1 Conditional Diagnosability of (n,k)-Star Graph 82
 3.1.1 Introduction 82
 3.1.2 Structural Robustness of (n,k)-Star Graph 83
 3.1.3 Conditional Diagnosability of (n,k)-Star Graph 91
 3.2 g-Good-Neior Diagnosability of (n,k)-Star Graph 93
 3.2.1 Introduction 94
 3.2.2 g-Good-Neior Diagnosability of (n,k)-Star Graph Under the PMC Model 95
 3.2.3 g-Good-Neior Diagnosability of (n,k)-Star Graph Under the Comparison Model 99
 3.3 g-Extra Diagnosability of (n,k)-Star Graph 105
 3.3.1 Introduction 106
 3.3.2 g-Extra Connectivity of (n,k)-Star Graph 107
 3.3.3 g-Extra Conditional Diagnosability of (n,k)-Star Graph 112
 3.4 Remarks 117
 Chapter 4 Reliability Analysis Based on Subsystems of (n,k)-Star Graph 119
 4.1 Introduction 120
 4.2 Preliminaries 121
 4.3 Evaluation of Rn-1,k-1 n,k(p) 123
 4.3.1 Computation of Lower Bound on Rn-1,k-1 n,k(p) 123
 4.3.2 Computation of Upper Bound on Rn-1,k-1 n,k(p) 134
 4.3.3 Appromation Rn-1,k-1 n,k(p) 134
 4.3.4 Discussion 136





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