Mathematical modelling of system resilience

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RIVER PUBLISHERS SERIES IN MATHEMATICAL AND ENGINEERING SCIENCES
Title - Mathematical Modelling of
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Contents
Preface
Acknowledgments
List of Contributors
List of Figures
List of Tables
List of Abbreviations
Chapter 1 - Developing Resilience in Supply Management
	1.1 Introduction
	1.2 Supply Chain Risk Management
	1.3 Supply Chain Disruptions
	1.4 Probability and Impact
	1.5 Developing Resilience in Supply Management
	1.6 The Role of Purchasing
		1.6.1 Supplier Development
		1.6.2 Redundancy
		1.6.3 Integration
		1.6.4 Visibility
		1.6.5 Flexibility
		1.6.6 Agility
		1.6.7 Strategic Sourcing
	1.7 Maturity Models
	1.8 A Proposed Model for Risk-Integration-Resilience
	1.9 Conclusion
	References
Chapter 2 - Designing a Resilient Consumer Product System
	2.1 Introduction
	2.2 Study of Background Literature
		2.2.1 Resilience System Design Approach
		2.2.2 Resilient Performance Indices for the Systems
	2.3 Methodology
		2.3.1 Problem Statement
		2.3.2 The Resilient Consumer Product Systems Planning Model
			2.3.2.1 Resilient supply management systems planning
			2.3.2.2 Resilient manufacturing system planning model
			2.3.2.3 Resilient product distribution system planning
	2.4 Numerical Example
		2.4.1 Model Results for Supply Systems Resilience Coefficient of Performance (SSCP)
		2.4.2 Model Results for Manufacturing Systems Resilience Coefficient of Performance (MSCP)
		2.4.3 Model Results for Distribution Systems Resilience Coefficient of Performance (DSCP)
		2.4.4 Analysis of Resilience Coefficient of Performances and Overall SC Cost
	2.5 Conclusions
	References
Chapter 3 - Definitions of Resilience and Approaches for Mathematical Modelling of Its Various Aspects
	3.1 Introduction
	3.2 State of Research
	3.3 Mathematical Aspects of Resilience
		3.3.1 Engineering Resilience
		3.3.2 Ecological Resilience
		3.3.3 Attractor-Based Resilience
		3.3.4 Viability-Based Resilience
	3.4 Conclusion
	References
Chapter 4 - Quantified Resilience Estimation of the Safety-Critical Traction Electric Drives
	4.1 Introduction
	4.2 Approach and Methodology
		4.2.1 Degree of Resiliency
		4.2.2 Multistate System Reliability Markov Models and Transition Probabilities
	4.3 Resilient Traction Drive
		4.3.1 Topology and Components
		4.3.2 Safety-Critical Failures
		4.3.3 Multiphase Electric Motor
		4.3.4 Electric Inverter
	4.4 Results of Simulation
	4.5 Conclusion
	References
Chapter 5 - Bayes Decision-Making Systems for Quantitative Assessment of Hydrological Climate-Related Risk using Satellite Data
	5.1 Introduction
	5.2 Methodological Notes
		5.2.1 Generalized Stochastic Model of Hydrological Threats
		5.2.2 Spectral Model of Surface Response to Heat and Water Stress
	5.3 Materials and Data
		5.3.1 Satellite Data: Selection, Collection, and Basic Land Cover Classification
		5.3.2 Satellite Data Analysis: Spectral Processing
		5.3.3 Satellite Data Calibration using the In-Field Spectrometry Measurements
		5.3.4 Meteorological and Climatic Data Analysis
	5.4 Method of the Risk Assessments using Bayes Approach
	5.5 Conclusions
	References
Chapter 6 - Performance Measures of a Complex System with Possible Online Repair
	6.1 Introduction
	6.2 Assumptions
	6.3 Notations
	6.4 Formulation of Mathematical Model
	6.5 Solution of the Model
	6.6 Asymptotic Behavior
	6.7 Particular Cases
		6.7.1 When Repair and Inspection Follows Exponential Distribution
	6.8 Numerical Computation
		6.8.1 Reliability Analysis
		6.8.2 Availability Analysis
		6.8.3 MTTF Analysis
		6.8.4 Cost Analysis
		6.8.5 Sensitivity Analysis
	6.9 Conclusions
	References
Chapter 7 - Small Quadrotor Functioning under Rework Analysis
	7.1 Introduction
	7.2 Mathematical Description of the Propose Model
		7.2.1 Assumptions
		7.2.2 Nomenclature
		7.2.3 Model Formulation
		7.2.4 Illustration of the Proposed Model
	7.3 Particular Cases and Numerical Appraisal
		7.3.1 Availability Analysis
		7.3.2 Reliability Analysis
		7.3.3 Mean Time to Failure
		7.3.4 Sensitivity Analysis
			7.3.4.1 Sensitivity of Reliability
			7.3.4.2 Sensitivity of MTTF
	7.4 Results Conversation
	7.5 Conclusion
	References
Index
About the Authors
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