Semi-markov models : control of restorable systems with latent failures

Semi-markov models : control of restorable systems with latent failures / Yuriy E. Obzherin, Elena G. Boyko.

Featuring previously unpublished results, Semi-Markov Models: Control of Restorable Systems with Latent Failures describes valuable methodology which can be used by readers to build mathematical models of a wide class of systems for various applications. In particular, this information can be applie...

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Bibliographic Details
Main Authors: Obzherin, Yuriy E. (Author), Boyko, Elena G. (Author)
Format: eBook
Language:English
Published: London : Academic Press, 2015.
Subjects:
System analysis > Mathematical models.
Markov processes.
SCIENCE > System Theory.
TECHNOLOGY & ENGINEERING > Operations Research.
Markov processes
System analysis > Mathematical models
Online Access:Click for online access
Table of Contents:
  • Cover; Title page; Copyright Page; Contents; Preface; List of Notations and Abbreviations; Introduction; Chapter 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; Chapter 2
  • Semi-Markov Models of One-Component Systems with Regard to Control of Latent Failures; 2.1
  • The System Model With 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 Distribution2.1.4
  • Stationary Characteristics Definition; 2.2
  • The System Model Without 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 System2.3.4
  • 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 CharacteristicsChapter 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 Co ... 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 ... ; 3.4.1
  • Definition of EMC Stationary Distribution; 3.5
  • Approximation of Stationary Characteristics of Two-Component Serial Systems with Components Deactivation while Contro ...
  • 3.5.1
  • System Description.

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