The text covers both basic and advanced techniques based on state performance systems and binary systems. It presents a dynamic reliability analysis of safety-critical systems using Petri Nets and dynamic resource allocation modeling of software with patching.
Akshay Kumar received the B.Sc. and M.Sc. degree in science from Chaudhary Charan Singh University, Meerut, India, in 2010 and 2012, and the Ph.D. degree major in Mathematics and minor in Computer science from G. B. Pant University of Agriculture and Technology, Pantnagar, India, in 2017. He is currently working as an Assistant Professor in the Department of Mathematics, Graphic Era Hill University, Dehradun in India. He currently teaching LLP and Probability and Statistics in B.Sc.(H) and taught Group Theory, Numerical Methods, Business Statistics, Discrete Mathematics, Engineering Mathematics-III and in PG level taught OR, Linear Algebra and Discrete Structure. He is a regular Reviewer for more than 43 international journals. He has published 80 plus research papers in Communications in Statistics - Simulation and Computation., Emerald, Inderscience, International Journal of Mathematical, Engineering and Management Sciences, IGI Global Publisher, MDPI, Cambridge Scientific Publishers, Springer nature, Elsevier Multimedia Tools and Applications and many other national and international journals of repute and presented his works at national and international conferences. Also, he has published 3 books (edited) with international publishers. His fields of research are reliability theory, fuzzy reliability, signature reliability and applied Mathematics. He has been awarded recently “Outstanding Researcher Award” in 2019-2020 at Graphic Era Hill University Dehradun India and in 15th and 16th Uttarakhand State Science and Technology Congress 2020-2022 for his significant contribution in academics and research at Graphic Era Deemed to be University, Dehradun, India.
Mangey Ram received the Ph.D. degree major in Mathematics and minor in Computer Science from G. B. Pant University of Agriculture and Technology, Pantnagar, India in 2008. He has been a Faculty Member for around fifteen 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 (Deemed to be University), Dehradun, India. Before joining the Graphic Era, he was a Deputy Manager (Probationary Officer) with Syndicate Bank for a short period. 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 reputed publishers and the Guest Editor & Associate Editor with various journals. He has published 400 plus publications (journal articles/books/book chapters/conference articles) in many national and international journals and conferences. Also, he has published more than 60 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, the Senior Life Member of the Operational Research Society of India, the 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 the “Young Scientist Award” by the Uttarakhand State Council for Science and Technology, Dehradun, in 2009. He has been awarded the “Best Faculty Award” in 2011; the “Research Excellence Award” in 2015; “Outstanding Researcher Award” in 2018 for his significant contribution to academics and research at Graphic Era Deemed to be University, Dehradun, India. Also, he has received the "Excellence in Research of the Year-2021 Award” by the Honourable Chief Minister of Uttarakhand State, India, and the “Emerging Mathematician of Uttarakhand” state award by the Director, Uttarakhand Higher Education. Recently, he received the “Distinguished Service Award-2023” for the subject & nation development by Vijñāna Parishad of India.
Rajesh S. Prabhu Gaonkar is presently a Professor on Deputation at School of Mechanical Sciences, Indian Institute of Technology Goa (IIT Goa). He is B.E. (Mechanical Engg., 1993), M.E. (Industrial Engg., 1997), P.G.D.O.M. (I.G.N.O.U., 2000), Ph.D. (I.I.T. Bombay, 2007) and a Research Fellow at National University of Singapore (2010-2011). He is Former Professor and Head of the Mechanical Engineering Department at Goa College of Engineering and Former Dean of Faculty of Engineering at the Goa University. He is Associate Editor of the International Journal of System Assurance Engineering and Management and Editorial Board Member of the International Journal of Mathematical, Engineering and Management Sciences. He is on reviewer panel of more than 20 International Journals. Prof. Rajesh S. Prabhu Gaonkar is first recipient (awardee) of the Goa State Award for Meritorious Teacher in Technical Education for the year 2015. This is awarded in public recognition of valuable services to the community as a teacher of outstanding merit. He is recipient of prestigious Fellowship of Indian Institution of Industrial Engineering (IIIE) for his immense contribution in the field of industrial engineering in the state of Goa and recipient of Dr. J. M. Mahajan Award for the year 2016-17 by Indian Institution of Industrial Engineering for contributing substantially to the spread/ propagation of Industrial Engineering in Education i.e. in Institutes and in university. He is also a Fellow of the Institution of Engineers (India). Prof. Rajesh S. Prabhu Gaonkar was awarded “Diploma of Excellence” for the paper presentation at DQM International Reliability Summer School by D.Q.M. Research Center in Serbia in 2005. He has also bagged best paper award at four International Conferences. He has published over 90 research papers in various National & International Conferences and Journals; co-authored a book on “Fuzzy Reliability -- Concepts and Applications” (2007) and co-authored a monograph “Six-Sigma: A Key to Enterprise Excellence” (2008). He was involved in organization of about 30 International Conferences in various capacities. He has total 30 years of teaching and research experience. He has four book chapters, three Indian Patents and two Australian Innovation Patents to his credit. He has successfully guided four Ph.D. students as on date. Prof. Rajesh S. Prabhu Gaonkar is Founder Chairman of Mechanical Engineering Students Association (MESA) formed to organize technical events in Mechanical Engineering and related fields at Goa College of Engineering and founder Chairman of Indian Institution of Industrial Engineering (IIIE) Goa Chapter. He conceived and implemented MESSERGY (Mechanical Engineering Students’ Social and Education Responsibility and Green Initiates) voluntary sustainable project for Mechanical Engineering Students of Goa College of Engineering. His teaching areas include Industrial Engineering, Operations Research, Advanced Optimization, Reliability Engineering/ Reliability based Design, CAD/CAM, Maintenance Engineering and Management, Operations Management, System Modeling and Simulation. His research areas include Fuzzy Set Applications in Reliability and Maintenance Engineering, Multi-Attribute Decision Making etc.
Yury Klochkov holds the post of Rector of Tyumen Industrial University. He has the degree of mechanical engineering from the Samara State Transport University in 2001, Postgraduate studies majoring in 05.02.23 Standardization and quality management from Samara State Aerospace University (National Research University) (SSAU) in 2006 and Doctorate degree majoring in 05.02.23 Standardization and quality management from Samara State Aerospace University (National Research University) (SSAU) 2012. He has achieved many awards, certificates and acknowledgements like in 2007 the Potanin Foundation for young teachers grant holder, in 2014 the certificate of little Russian Quality Leader, Amity University Professor Emeritus certificate in 2016. In 2018 Dr. Yury Klochkov was the St. Petersburg Government prize winner for excellence in higher education and secondary professional education and in 2019 he got the acknowledgment for dedicated work and high standard of professionalism by Peter the Great St. Petersburg Polytechnic University. He is also the guest editor of many special issues of magazines like Key Engineering Materials, Scientific.net, Resources, MDPI, International Journal of System Assurance Engineering and Management, Springer, International Journal of Reliability, Quality and Safety Engineering, World Scientific and International Journal of Mathematical, Engineering and Management Sciences (IJMEMS). He is the visiting professor in Amity University and University of Kragujevac conferences. His total number of published research articles is 193. His H-index in Scopus with 58 publications is 20 and in WoS with 45 publications is 15. His total number of Teaching and Learning publications is 16. He also was certified by the Academic Methodological Association and the Ministry of Education and Science of the Russian Federation of the most significant Teaching and Learning publications.
