Mathematical Modelling of System Resilience

Almost all the systems in our world--including technical, social, economic, and environmental systems--are becoming interconnected and increasingly complex, and as such they are vulnerable to various risks. Due to this trend, resilience creation is becoming more important to system managers and decision makers, this to ensure sustained performance. In order to be able to ensure an acceptable sustained performance under such interconnectedness and complexity, resilience creation with a system approach is a requirement. Mathematical modeling based approaches are the most common approach for system resilience creation.

Mathematical Modelling of System Resilience covers resilience creation for various system aspects including a functional system of the supply chain, overall supply chain systems; various methodologies for modeling system resilience; satellite-based approach for addressing climate related risks, repair-based approach for sustainable performance of an engineering system, and modeling measures of the reliability for a vertical take-off and landing system. Each of the chapters contributes state-of-the-art research for the relevant resilience related topic covered in the chapter.

Technical topics covered in the book include:

• Supply chain risk, vulnerability and disruptions
• System resilience for containing failures and disruptions
• Resiliency considering frequency and intensities of disasters
• Resilience performance index
• Resiliency of electric Traction system
• Degree of resilience
• Satellite observation and hydrological risk
• Latitude of Resilience
• On-line repair for resilience
• Reliability design for Vertical Takeoff and landing Prototype

Kanchan Das is at East Carolina University.  

Professor (Dr.) Mangey Ram received his Ph.D. degree major in Mathematics and minor in Computer Science from G. B. Pant University of Agriculture and Technology, Pantnagar, India. He has been a Faculty Member for twelve years and has taught several core courses in pure and applied mathematics at undergraduate, postgraduate, and doctorate levels. He is currently the Research Professor at Graphic Era University, Dehradun, India. He is Editor-in-Chief of International Journal of Mathematical, Engineering and Management Sciences and Journal of Reliability and Statistical Studies; Editor-in-Chief of six book series; and the Guest Editor and Member of the editorial board of various journals. He has published 225 plus research publications (journal articles/book chapters/conference articles). Also, he has published more than 50 books (authored/edited) with international publishers. His fields of research are reliability theory and applied mathematics. Dr. Ram is a Senior Member of the IEEE, Senior Life Member of Operational Research Society of India, Society for Reliability Engineering, Quality and Operations Management in India, Indian Society of Industrial and Applied Mathematics. He has been a member of the organizing committee of a number of international and national conferences, seminars, and workshops. He has been conferred with “Young Scientist Award” by the Uttarakhand State Council for Science and Technology, Dehradun, in 2009. He was awarded the “Best Faculty Award” in 2011; “Research Excellence Award” in 2015; and recently “Outstanding Researcher Award” in 2018 for his significant contribution in academics and research at Graphic Era Deemed to be University, Dehradun, India.