Reliability Assessment and Optimization of Complex Systems

1st Edition - October 31, 2024
Editors: Akshay Kumar, Ashok Singh Bhandari, Mangey Ram
Language: English
Paperback ISBN:
9 7 8 - 0 - 4 4 3 - 2 9 1 1 2 - 8
eBook ISBN:
9 7 8 - 0 - 4 4 3 - 2 9 1 1 3 - 5

Reliability Assessment and Optimization of Complex Systems delves into a range of tools and techniques for designing optimized complex systems. Each chapter explores system modeli… Read more

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Reliability Assessment and Optimization of Complex Systems delves into a range of tools and techniques for designing optimized complex systems. Each chapter explores system modeling and the implementation of various metaheuristics for optimization purposes. This book provides readers in the domain of applied mathematics with a comprehensive understanding of system reliability analysis and improvement, thereby offering substantial value to their knowledge and expertise. System reliability has become the paramount attribute of any production unit. The process of maximizing system reliability while adhering to multiple constraints is referred to as reliability optimization.

There are two primary approaches to enhancing a system's performance and reliability: developing a product with reduced failures (failure avoidance) or incorporating resilience to ensure the system continues functioning even in the event of a failure (fault tolerance).

Reliability Assessment and Optimization of Complex Systems
Cover image
Title page
Table of Contents
Copyright
Contributors
Preface
Acknowledgment
Chapter 1 A comparative study of direct and inverse reliability methods applied to robotic manipulators design
Abstract
Keywords
Acknowledgment
1 Introduction
2 Modeling of flexible-link manipulator
2.1 Finite element method
2.2 Stochastic modeling
3 Reliability analysis
3.1 First-order reliability method
3.2 Second-order reliability method
3.3 Inverse reliability analysis
4 Reliability-based design
4.1 Mathematical formulation
4.2 Differential evolution
4.3 Multiobjective optimization differential evolution
4.4 SORM-MODE and IRA-MODE strategies
5 Numerical results
5.1 Flexible manipulator dynamics without uncertainties
5.2 Flexible manipulator dynamics with uncertainties
5.3 Reliability
5.4 Reliability-based optimization
6 Conclusions
References
Chapter 2 Consecutive-type coherent systems with cold standby redundancy at the system level: Advances and applications
Abstract
Keywords
1 Introduction
2 The theoretical design
3 Numerical results
4 Discussion
References
Chapter 3 Optimal design of accelerated life tests under multiple correlated covariates for reliability optimization
Abstract
Keywords
1 Introduction
2 Literature review
3 Methodology
3.1 Test assumptions
3.2 The proposed model
4 Numerical example
4.1 Design of lifetime testing
4.2 Reliability optimization
5 Sensitivity analysis
5.1 Investigating the effects of change in sample size of the covariates
5.2 Sensitivity analysis of stress variables on optimized values of decision variables and their reliabilities
5.3 Analyzing the effects of the changes in sample size (k)
5.4 A case of two design variables
6 Conclusions, limitations, and future researches
References
Chapter 4 Joint optimization of cost and reliability indices in complex systems through maintenance scheduling and human resource allocation: A mixed approach of cellular automata and discrete-event simulation
Abstract
Keywords
1 Introduction
2 Literature review
2.1 Background of reliability research
2.2 A background in optimization and maintenance research
3 Methodology
3.1 Modeling and DES
3.2 Simulation optimization
4 Results
5 Conclusion
References
Chapter 5 Optimality assessment of energy infrastructure for system safety and reliability empowering
Abstract
Keywords
1 Introduction
1.1 Current state of system safety and reliability in energy infrastructure
2 Methodology
3 Case study: Tehran metropolitan area
3.1 Introducing factors and corresponding subfactors
4 Conclusion
References
Chapter 6 Reliability and component importance of nonseries parallel system using survival signature
Abstract
Keywords
1 Introduction
2 Survival signature of NSPS
3 Reliability characteristics of NSPS
3.1 Survival function of NSPS
3.2 Mean time to failure for NSPS
4 System improvements of NSPS
4.1 Reduction method
4.2 Duplication method
5 Component importance measure
6 Conclusion
References
Chapter 7 Optimal system design for grid energy system using RRAP with MayFly optimization algorithm
Abstract
Keywords
1 Introduction
2 Grid-evaluating system
2.1 Virtualization
2.2 Model of reliability for grid computing
2.3 Evaluating grid program reliability
2.4 Assessment of grid service reliability
3 Mathematical formulation of MayFly
4 MayFly algorithm
4.1 Behavior of mayflies
4.2 MayFly algorithm
4.3 Movement of male mayflies
4.4 Mating of mayflies
4.5 Improvements of basic MA
4.6 Velocity limits
4.7 Gravity coefficient
4.8 Reduction of nuptial dance and random walk
4.9 Mutate the genes of offspring
5 Input parameter for MayFly
6 Results and discussion
7 Conclusion and future scope
References
Chapter 8 Reliability assessment of X-ray baggage inspection systems: Safeguarding transport hubs against threats
Abstract
Keywords
1 Introduction and related work
2 Notations
2.1 Assumptions of the system
3 System and the description of its components
4 Mathematical modeling of the X-ray baggage machine
5 Reliability indices of the X-ray baggage machine
5.1 Availability of the X-ray baggage machine
5.2 Reliability of the X-ray baggage machine
5.3 Mean time to failure of the X-ray baggage machine
5.4 Expected probability of the system in a good and a degraded state of X-ray baggage machine
6 Findings and discussion
7 Conclusion
8 Future scopes
References
Chapter 9 Reliability optimization of off-grid solar power systems in households using Cuckoo Search algorithm
Abstract
Keywords
1 Introduction
2 Overview of Cuckoo Search
3 Description of model
3.1 The grid solar power system in household
3.2 System configuration
4 Formulation of the system
5 Input parameters of the grid solar power system in household
6 Computation results
6.1 Experiment outcomes
6.2 Statistical value of CS
7 Conclusion
References
Chapter 10 AHP based determination of critical testing coverage measures for reliable & complex software systems
Abstract
Keywords
1 Introduction
2 Literature review
3 Understanding testing coverage measure with a different perspective
4 Methodology used—AHP
4.1 Alternatives and criteria for testing coverage measure
5 Data analysis
5.1 Notation
5.2 Pairwise comparison matrix
6 Result discussion
7 Conclusion
8 Limitations and future scope
Appendix
Criteria
Alternatives
References
Chapter 11 Fault Tree Analysis and application
Abstract
Keywords
1 Introduction
2 Fault tree symbols and elements
3 Fault tree construction
3.1 Cut set determination
3.2 Quantitative analysis of the fault tree
4 Dynamic Fault Tree Analysis
5 Uncertainty consideration in FTA
5.1 Fuzzy operator and fault tree evaluation
5.2 Defuzzification process
5.3 Takagi–Sugeno fuzzy model application
6 Binary decision diagram
7 Bayesian network
8 Case study
9 Conclusions
References
Chapter 12 Reliability analysis of cybersecurity using fuzzy fault tree approach
Abstract
Keywords
1 Introduction
2 Background
2.1 Fuzzy set
2.2 Properties of fuzzy set
2.3 Fuzzy number
2.4 α-Cut interval of triangular fuzzy number
2.5 Fault tree
2.6 Ranking of triangular fuzzy number
3 Proposed FFTA approach
4 Numerical illustration
4.1 Traditional approach
4.2 Proposed FFTA approach
5 Conclusion
References
Chapter 13 Intuitionistic fuzzy reliability assessment of a wind turbine generator
Abstract
Keywords
1 Introduction
2 Preliminary definitions
2.1 Fuzzy sets
2.2 Intuitionistic fuzzy sets
2.3 Weibull distribution
2.4 Universal generating function
3 Model description
4 Reliability function evaluation
5 Numerical illustrations
6 Results and discussion
7 Conclusion
References
Chapter 14 Necessity of fuzzy logic: Trends in software reliability assessment
Abstract
Keywords
1 Introduction
2 Fuzzy-driven reliability advances
2.1 Optimal release study in fuzzy environment
3 Future avenues in software reliability under a fuzzy environment
4 Conclusion
References
Chapter 15 Reliability analysis of interconnection networks: A comprehensive review of Shuffle-exchange, Benes, and Gamma networks
Abstract
Keywords
1 Introduction
1.1 Elementary terminologies related to multistage interconnection networks (MINs)
1.2 Classification of interconnection networks
1.3 Reliability models employed in MIN analysis
1.4 Motivation for this chapter
2 Reliability metrics
3 Interconnection networks overview
4 Reliability analysis of the Shuffle-exchange network
5 Reliability analysis of Benes network
6 Reliability analysis of Gamma network
7 Comparative analysis
7.1 Side-by-side comparison
7.2 Critical evaluation
8 Factors affecting reliability assessment
9 Future directions
9.1 Research gaps
9.2 Technological trends
10 Conclusion
References
Chapter 16 A Bayesian analysis of a geometric distribution model of two identical unit warm standby system with regular and expert repair facility
Abstract
Keywords
1 Introduction
2 Assumptions
3 Example of a real industry model
3.1 Power generation system reliability
4 Notations and state of the system
4.1 Notations
4.2 Symbols for the states of the systems
5 Transition probabilities and mean sojourn time
5.1 Transition probabilities
5.2 Steady-state transition probabilities
5.3 Mean sojourn time
5.4 Reliability and mean time to system failure
5.5 Availability analysis
5.6 Busy period analysis
5.7 Cost-benefit analysis
6 Estimation of the parameters, MTSF and profit function
6.1 Likelihood function
6.2 Bayesian estimation
6.3 Simulation study
7 Conclusion
References
Chapter 17 Optimal design of a reinforced concrete beam considering uncertainties
Abstract
Keywords
Acknowledgments
1 Introduction
2 Mathematical modeling of the reinforced concrete beam problem
2.1 Total deflection considering creep effects (G1)
2.2 Deflection due to floor vibrations (G2)
2.3 Deflection after construction of walls (G3)
2.4 Crack opening (G4)
3 Reliability analysis
3.1 Monte Carlo simulation
4 Reliability-based design optimization
4.1 Mathematical formulation
4.2 Differential evolution
5 Methodology
6 Reliability analysis
7 Reliability-based design optimization
8 Concluding remarks
References
Chapter 18 Reliability-based design optimization for cyber survivability
Abstract
Keywords
1 Introduction
2 Foundations of cyber resilience
3 Cyber design principles for resilience
4 Strategic cyber resiliency design principles
5 Design principles for cyber agility
6 Strategies for enhanced cybersecurity: Control, contain, and exclude
7 Layered defenses and resource partitioning
8 Redundancy, resource versatility, and location—Agnosticity
9 Health and status data utilization and situational awareness
10 Dynamic risk management and resource adaptation
11 Ongoing trustworthiness assessment and attack surface disruption
12 Unpredictability and deception strategies
13 Enhancing cyber survivability
14 Strategies for applying the design principles
15 Priorities in cyber resilient designs
16 Evolvability, antifragility, and changeability
17 Survivability
18 Polymorphic implementation of cryptographic algorithms
19 Security and survivability in cloud storage applications
20 Resilience in data transfers
21 Advanced authentication techniques
22 Accelerated cryptographic calculations
22.1 Modular multiplication organization
23 Continuous monitoring for security infringement detection
24 Conclusions
References
Chapter 19 Determining optimum inspection interval of critical railway rolling stock components using discrete chain Markov modeling
Abstract
Keywords
1 Introduction
2 Proposed methodology
2.1 Delay time concept
2.2 Markov inspection model
2.3 Transition probabilities
2.4 Life cycle cost model
2.5 Cost profile: Present value of life cycle cost
2.6 Calculation of LCC for different inspection interval size
2.7 Minimization of LCC
3 Case study on spherical roller bearings
3.1 Data collection
3.2 Apply discrete-time Markov chain to model the periodic inspection of spherical roller bearings
3.3 LCC
3.4 Cost profile: Present value of life cycle cost
3.5 Calculation of LCC for different inspection interval size
4 Conclusion
References
Chapter 20 Analysis of sensor reliability in IoT solutions
Abstract
Keywords
1 Introduction
2 Model of an IoT solution
3 Software infrastructure for monitoring
4 Mathematical modeling and analysis
4.1 Base case
4.2 Multiple-sensor solution
4.3 IoT solution with a monitoring system
4.4 Monitoring for multiple-sensor deployments
4.5 Monitoring with automated repair
5 Discussion
6 Conclusion
References
Index

Akshay Kumar

Akshay Kumar holds B.Sc. and M.Sc. degrees from Chaudhary Charan Singh University, Meerut, India (2010, 2012), and earned his Ph.D. majoring in Mathematics with a minor in Computer Science from G. B. Pant University of Agriculture and Technology, Pantnagar, India, in 2017. He serves as an Assistant Professor in Mathematics at Graphic Era Hill University, Dehradun, India, leveraging over 5 years of teaching experience. With a substantial reviewing role across 35+ international journals, including Elsevier, Springer, Emerald, MDPI, and more, he has authored 60+ research papers in reputable journals like Communications in Statistics, Emerald, Inderscience, and many others. He has also edited 2 books with international publishers like River Publisher and IGI Global Publisher. His research spans reliability theory, fuzzy reliability, signature reliability, and applied Mathematics.

Affiliations and expertise

Assistant Professor in Mathematics, Graphic Era Hill University, Dehradun, India

Ashok Singh Bhandari

Dr. Ashok Singh Bhandari holds BSc and MSc degrees in Science from Hemwati Nandan Bahuguna Garhwal University, Srinagar, India (2013, 2015), and a Ph.D. in Mathematics from Graphic Era (Deemed to be University), Dehradun, India (2022). Currently an Assistant Professor in the Mathematics Department at Graphic Era Hill University, Dehradun, he boasts over 6 years of teaching experience. With a track record as a regular Reviewer for 6+ international journals such as Emerald, MDPI, River Publisher, and IGI Global Publisher, he has authored 9+ research papers in distinguished journals like Emerald, Inderscience, IGI Global Publisher, Springer Nature, World Scientific, and Wiley. His contributions extend to presentations at esteemed national and international conferences, centering around reliability theory and optimization.

Affiliations and expertise

Assistant Professor, Mathematics Department, Graphic Era Hill University, Dehradun, India

Mangey Ram

Prof. Mangey Ram received his Ph.D. in Mathematics (major) and Computer Science (minor) from the G. B. Pant University of Agriculture and Technology, Pantnagar, India. He has been a faculty member for ca. 15 years and has taught several core courses in pure and applied mathematics at undergraduate, postgraduate, and doctorate levels. He is currently a Research Professor at Graphic Era (deemed to be University), Dehradun, India and a Visiting Professor at Peter the Great St. Petersburg Polytechnic University, Saint Petersburg, Russia.

He is Editor-in-Chief of the International Journal of Mathematical, Engineering, and Management Sciences; Journal of Reliability and Statistical Studies; Journal of Graphic Era University; Series Editor of six book series with Elsevier, CRC Press-A Taylor and Frances Group, Walter De Gruyter Publisher Germany, River Publisher and Guest Editor and Associate Editor for various journals.

His fields of research are reliability theory and applied mathematics.

Prof. Ram is a Senior Member of the IEEE, Senior Life Member of the Operational Research Society of India, the Society for Reliability Engineering, Quality and Operations Management in India, the Indian Society of Industrial and Applied Mathematics. He is a member of the organizing committee of several international and national conferences, seminars, and workshops. He was conferred the “Young Scientist Award” by the Uttarakhand State Council for Science and Technology, Dehradun, in 2009, and given the “Best Faculty Award” in 2011; “Research Excellence Award” in 2015; and “Outstanding Researcher Award” in 2018 for his significant contributions in academics and research at Graphic Era (deemed to be University), Dehradun, India. Most recently, he received the "Excellence in Research of the Year-2021 Award” from the Honourable Chief Minister of the Uttarakhand State, India.

Affiliations and expertise

Department of Mathematics, Computer Science and Engineering, Graphic Era (deemed to be University), Dehradun, India

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Reliability Assessment and Optimization of Complex Systems

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Akshay Kumar

Ashok Singh Bhandari

Mangey Ram

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