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The Resource Point processes for reliability analysis : shocks and repairable systems, Ji Hwan Cha, Maxim Finkelstein

Point processes for reliability analysis : shocks and repairable systems, Ji Hwan Cha, Maxim Finkelstein

Label
Point processes for reliability analysis : shocks and repairable systems
Title
Point processes for reliability analysis
Title remainder
shocks and repairable systems
Statement of responsibility
Ji Hwan Cha, Maxim Finkelstein
Creator
Contributor
Author
Subject
Language
eng
Summary
Focusing on the theory and applications of point processes, Point Processes for Reliability Analysis naturally combines classical results on the basic and advanced properties of point processes with recent theoretical findings of the authors. It also presents numerous examples that illustrate how general results and approaches are applied to stochastic description of repairable systems and systems operating in a random environment modelled by shock processes. The real life objects are operating in a changing, random environment. One of the ways to model an impact of this environment is via the external shocks occurring in accordance with some stochastic point processes. The Poisson (homogeneous and nonhomogeneous) process, the renewal process and their generalizations are considered as models for external shocks affecting an operating system. At the same time these processes model the consecutive failure/repair times of repairable engineering systems. Perfect, minimal and intermediate (imperfect) repairs are discussed in this respect. Covering material previously available only in the journal literature, Point Processes for Reliability Analysis provides a survey of recent developments in this area which will be invaluable to researchers and advanced students in reliability engineering and applied mathematics
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Cha, Ji Hwan
Dewey number
519.2/3
Index
no index present
LC call number
QA274.42
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Finkelstein, Maxim
Series statement
Springer series in reliability engineering
http://library.link/vocab/subjectName
  • Point processes
  • Reliability (Engineering)
Label
Point processes for reliability analysis : shocks and repairable systems, Ji Hwan Cha, Maxim Finkelstein
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Preface; Contents; 1 Introduction; 1.1 Aim and Scope of the Book; 1.2 Brief Overview; References; 2 Preliminaries: Reliability and Point Processes; 2.1 Distribution Function and Failure Rate; 2.2 Mean Remaining Lifetime; 2.3 Monotonicity of the Failure Rate and the MRL Function; 2.4 Stochastic Ordering; 2.5 Point Processes and Their Characterization; 2.6 Perfect and Minimal Repair; 2.7 Shocks and Extreme Shock Model; References; 3 Renewal Processes and Applications; 3.1 Definition and Main Properties; 3.2 Limiting Properties; 3.3 Alternating Renewal and Renewal Reward Processes
  • 3.4 Applications of Renewal Theory3.4.1 Renewal Reward Process with Continuous Output; 3.4.2 Alternating Renewal Process with Gradual Repair; 3.4.3 Classical Optimal Replacement Problem and Its Generalization; 3.4.4 Using Renewal Equations in Shocks Modeling; 3.4.5 Renewal in Populations of Technical Items and Organisms; References; 4 Poisson Process; 4.1 Homogeneous Poisson Process; 4.2 Nonhomogeneous Poisson Process; 4.3 Minimal Repair and Applications to Optimal Maintenance; 4.4 Simple Poisson Shock Models; 4.4.1 â#x80;#x98;Classicalâ#x80;#x99; Extreme Shock Model; 4.4.2 Direct Impact on the Failure Rate
  • 4.5 General Compound Poisson Process and a Shot Noise Process4.6 Mixed Poisson Process; References; 5 Advanced Poisson Shock Models; 5.1 The Terminating Shock Process with Independent Wear Increments; 5.1.1 General Setting; 5.1.2 Exponentially Distributed Boundary; 5.1.3 Deterministic Boundary; 5.2 History-Dependent Termination Probability; 5.3 Shot Noise Process for the Failure Rate; 5.3.1 Shot Noise Process Without Critical Shocks; 5.3.2 Shot Noise Process with Critical Shocks and Deterioration; 5.4 Extreme Shock Model with Delayed Termination
  • 5.5 Cumulative Shock Model with Initiated Wear Processes5.6 â#x80;#x98;Curableâ#x80;#x99; Shock Processes; 5.7 Stress-Strength Model with Delay and Cure; 5.8 Survival of Systems with Protection Subject to Two Types of External Attacks; 5.9 Information-Based Thinning of Shock Processes; 5.9.1 General Setting; 5.9.2 Formal Description of the Information-Dependent Thinning; 5.9.3 Stress-Strength Type Classification Model; References; 6 Poisson Shock Model with Applications to Preventive Maintenance; 6.1 Conditional Characteristics and Interpretation; 6.1.1 Conditional Characteristics; 6.1.2 A Specific Case
  • 6.1.3 The Dynamics of Conditional Distributions6.2 Univariate Preventive Maintenance Policy; 6.2.1 The Failure Model and Supplementary Results; 6.2.2 The PM Models for Systems Under Shocks; 6.3 Bivariate Preventive Maintenance Policy; 6.4 Bivariate Preventive Maintenance Policy with Minimal Repair; References; 7 Generalizations of Renewal Process; 7.1 Virtual Age; 7.2 G-Renewal Process; 7.3 General Repair Process; 7.4 Equilibrium Virtual Age; 7.5 Aging and Limiting Properties; 7.6 Application: Optimal Degree of Repair; 7.7 Renewal Equations; 7.8 Failure Rate Reduction Models
Control code
SPR1020286049
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319735405
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-73540-5
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1020286049
  • (OCoLC)1020286049
Label
Point processes for reliability analysis : shocks and repairable systems, Ji Hwan Cha, Maxim Finkelstein
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Preface; Contents; 1 Introduction; 1.1 Aim and Scope of the Book; 1.2 Brief Overview; References; 2 Preliminaries: Reliability and Point Processes; 2.1 Distribution Function and Failure Rate; 2.2 Mean Remaining Lifetime; 2.3 Monotonicity of the Failure Rate and the MRL Function; 2.4 Stochastic Ordering; 2.5 Point Processes and Their Characterization; 2.6 Perfect and Minimal Repair; 2.7 Shocks and Extreme Shock Model; References; 3 Renewal Processes and Applications; 3.1 Definition and Main Properties; 3.2 Limiting Properties; 3.3 Alternating Renewal and Renewal Reward Processes
  • 3.4 Applications of Renewal Theory3.4.1 Renewal Reward Process with Continuous Output; 3.4.2 Alternating Renewal Process with Gradual Repair; 3.4.3 Classical Optimal Replacement Problem and Its Generalization; 3.4.4 Using Renewal Equations in Shocks Modeling; 3.4.5 Renewal in Populations of Technical Items and Organisms; References; 4 Poisson Process; 4.1 Homogeneous Poisson Process; 4.2 Nonhomogeneous Poisson Process; 4.3 Minimal Repair and Applications to Optimal Maintenance; 4.4 Simple Poisson Shock Models; 4.4.1 â#x80;#x98;Classicalâ#x80;#x99; Extreme Shock Model; 4.4.2 Direct Impact on the Failure Rate
  • 4.5 General Compound Poisson Process and a Shot Noise Process4.6 Mixed Poisson Process; References; 5 Advanced Poisson Shock Models; 5.1 The Terminating Shock Process with Independent Wear Increments; 5.1.1 General Setting; 5.1.2 Exponentially Distributed Boundary; 5.1.3 Deterministic Boundary; 5.2 History-Dependent Termination Probability; 5.3 Shot Noise Process for the Failure Rate; 5.3.1 Shot Noise Process Without Critical Shocks; 5.3.2 Shot Noise Process with Critical Shocks and Deterioration; 5.4 Extreme Shock Model with Delayed Termination
  • 5.5 Cumulative Shock Model with Initiated Wear Processes5.6 â#x80;#x98;Curableâ#x80;#x99; Shock Processes; 5.7 Stress-Strength Model with Delay and Cure; 5.8 Survival of Systems with Protection Subject to Two Types of External Attacks; 5.9 Information-Based Thinning of Shock Processes; 5.9.1 General Setting; 5.9.2 Formal Description of the Information-Dependent Thinning; 5.9.3 Stress-Strength Type Classification Model; References; 6 Poisson Shock Model with Applications to Preventive Maintenance; 6.1 Conditional Characteristics and Interpretation; 6.1.1 Conditional Characteristics; 6.1.2 A Specific Case
  • 6.1.3 The Dynamics of Conditional Distributions6.2 Univariate Preventive Maintenance Policy; 6.2.1 The Failure Model and Supplementary Results; 6.2.2 The PM Models for Systems Under Shocks; 6.3 Bivariate Preventive Maintenance Policy; 6.4 Bivariate Preventive Maintenance Policy with Minimal Repair; References; 7 Generalizations of Renewal Process; 7.1 Virtual Age; 7.2 G-Renewal Process; 7.3 General Repair Process; 7.4 Equilibrium Virtual Age; 7.5 Aging and Limiting Properties; 7.6 Application: Optimal Degree of Repair; 7.7 Renewal Equations; 7.8 Failure Rate Reduction Models
Control code
SPR1020286049
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319735405
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-73540-5
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1020286049
  • (OCoLC)1020286049

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