描述
开 本: 16开纸 张: 胶版纸包 装: 平装-胶订是否套装: 否国际标准书号ISBN: 9787560357607
目录
Preface
List of Notations and Abbreviations
Introduction
1.Preliminaries
1.1 Strategies and Characteristics of Technical Control
1.2 Preliminaries on Renewal Theory
1.3 Preliminaries on Semi—Markov Processes with Arbitrary Phase Space of States
2.Semi—Markov Models of One—Component Systems
with Regard to Control of Latent Failures
2.1 The System Modelwith Component Deactivation while Control Execution
2.1.1 The System Description
2.1.2 Semi—Markov Model Building
2.1.3 Definition of EMC Stationary Distribution
2.1.4 Stationary Characteristics Definition
2.2 The System Modelwithout Component Deactivation while Control Execution
2.2.1 The System Description
2.2.2 Semi—Markov Model Building
2.2.3 Definition of EMC Stationary Distribution
2.2.4 Stationary Characteristics Definition
2.3 Approximation of Stationary Characteristics of One—Component System without Component Deactivation
2.3.1 System Description
2.3.2 Semi—Markov Model Building of the Supporting System
2.3.3 Definition of EMC Stationary Distribution for Supporting System
2.3.4 Approximation of the System Stationary Characteristics
2.4 The System Model with Component Deactivation and Possibility of Control Errors
2.4.1 System Description
2.4.2 Semi—Markov Model Building
2.4.3 Definition of EMC Stationary Distribution
2.4.4 System Stationary Characteristics Definition
2.5 The System Model with Component Deactivation and Preventive Restoration
2.5.1 System Description
2.5.2 Semi—Markov Model Building
2.5.3 Definition of the EMC Stationary Distribution
2.5.4 Definition of the System Stationary Characteristics
3.Semi—Markov Models of Two—Component Systems with Regard to Control of Latent Failures
3.1 The Model of Two—Component Serial System with Immediate Control and Restoration
3.1.1 System Description
3.1.2 Semi—Markov Model Building
3.1.3 Definition of EMC Stationary Distribution
3.1.4 Stationary Characteristics Definition
3.2 The Model of Two—Component Parallel System with Immediate Control and Restoration
3.2.1 System Description
3.2.2 Definition of System Stationary Characteristics
3.3 The Model of Two—Component Serial System with Components Deactivation While Control Execution, the Distribution of Components Operating TF is Exponential
3.3.1 System Description
3.3.2 Semi—Markov Model Building
3.3.3 Definition of EMC Stationary Distribution
3.3.4 Stationary Characteristics Definition
3.4 The Model of Two—Component Parallel System with Components Deactivation While Control Execution, the Distribution of Components Operating TF is Exponential
3.4.1 Definition of EMC Stationary Distribution
3.5 Approximation of Stationary Characteristics of Two—Component Serial Systems with Components Deactivation While Control Execution
3.5.1 System Description
3.5.2 Semi—Markov Model Building of the Initial System
3.5.3 Approximation of the Initial Stationary Characteristics
4.Optimization of Execution Periodicity of Latent Failures Control
4.1 Definition of Optimal Control Periodicity for One—Component Systems
4.1.1 Control Periodicity Optimization for One—Component System with Component Deactivation
4.1.2 Optimal Control Periodicity for One—Component System Without Deactivation
4.1.3 Control Periodicity Optimization for One—Component System with Regard to Component Deactivation and Control Failures
4.2 Definition of Optimal Control Periodicity for Two—Component Systems
4.2.1 Control Periodicity Optimization for Two—Component Serial System
4.2.2 Control Periodicity Optimization for Two—Component Parallel System
5.Application and Verification of the Results
5.1 Simulation Models of Systems with Regard to Latent Failures Control
5.1.1 Comparison of Semi Markov with Simulation Model in Case of One—Component System
5.1.2 Comparison of Semi—Markov with Simulation Model in Case of Two—Component System
5.2 The Structure of the Automatic Decision System for the Management of Periodicity of Latent Failures Control
5.2.1 Description of ADS CPM of Latent Failures Operation
5.2.2 Passive Industrial Experiment
6.Semi—Markov Models of Systems of Different Function
6.1 Semi—Markov Model of a Queuing System with Losses
6.1.1 System Description
6.1.2 Semi—Markov Model Building
6.1.3 EMC Stationary Distribution Determination
6.1.4 System Stationary Characteristics Determination
6.2 The System with Cumulative Reserve of Time
6.2.1 System Description
6.2.2 Semi—Markov Model Building
6.2.3 System Characteristics Determination
6.3 Two—phase System with a Intermediate Buffer
6.3.1 System Description
6.3.2 Semi Markov Model Building
6.3.3 System Stationary Characteristics Approximation
6.4 The Model of Technological Cell with Nondepreciatory Failures
6.4.1 System Description
6.4.2 TC Semi—Markov Model Building
6.4.3 TC Characteristics Determination
Appendix A The Solution of the System of Integral Equations (2.24)
Appendix B The Solution of the System of Integral Equations (2.74)
Appendix C The Solution of the System of Integral Equation (3.6)
Appendix D The Solution of the System of Equation (3.34)
References
Index
SERIAL SYSTEM WITH IMMEDIATE CONTROL
AND RESTORATION
3.1.1 System Description
The system S, consisting of two serial(in reliability sense) components K1,K2and of control unit, is considered.At the initial time moment, the components are operable,the control is on.Components time to failure (TF)are random variable (RV) ai and a2 with distribution function(DF) F1(t)=P{α1≤t}, F2(t) = P{α2≤t}, and DDf1(t), f2(t),respectively.The control is carried out in random time period δ with DF R(t) = P{δ≤t} and DD r(t).The control of components operability is simultaneous.Failures are detected while control execution only (latent failures).Control and restoration are immediate, but after restoration,all the components properties get completely restored.RVα1,α2,δare assumed to be independent and to have finite expectations.
3.1.2 Semi—Markov Model Building
To describe the system S operation let us introduce the following set E of system
semi—Markov states:
E={3111, 3111x1x2,1011x2z, 2101x1z, 1111×2, 2111×1, 1001z, 2001z }.
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