This book covers an interdisciplinary approach for understanding mathematical modeling by offering a collection of models, solved problems related to the models, the methodologies employed, and the results using projects and case studies with insight into the operation of substantial real-time systems. The book covers a broad scope in the areas of statistical science, probability, stochastic processes, fluid dynamics, supply chain, optimization, and applications. It discusses advanced topics and the latest research findings, uses an interdisciplinary approach for real-time systems, offers a platform for integrated research, and identifies the gaps in the field for further research. The book is for researchers, students, and teachers that share a goal of learning advanced topics and the latest research in mathematical modeling.
Table of Contents
Section I: Operations Research Models
Chapter 1. A Comparative Study of Vacation Models Under Various Vacation Policies
Chapter 2. Transient Analysis of M/M/1 Retrial Queue with Balking, Imperfect Service and Working Vacation
Chapter 3 .Finite Capacity Tandem Queueing Network with Reneging
Chapter 4. Transient Solution of Markov Model for Fault Tolerant System with Redundancy
Chapter 5. Performance Analysis of Markov Retrial Queueing Model under Admission Control F-Policy
Chapter 6. A Study on Geo/G/1 Retrial Queueing System with Starting Failure and Customer Feedback
Chapter 7. Application of Optimization and Statistical Techniques in Post-Harvest Supply Chain
Chapter 8. Prioritization of Barriers for E-Waste Management in India using Best Worst Method
Section II: Soft Computing Models
Chapter 9. Fuzzy Analysis of Batch Arrival Priority Queueing System with Balking
Chapter 10. Application of Fuzzy AHP Approach for Evaluation of Sustainable Energy Sources in India
Chapter 11. Fuzzy Based Evaluation of Optimal Service Time Using Execution / Communication Time and Clustering
Chapter 12. Solving Knapsack Problem with Genetic Algorithm Approach
Section III: Statistical Models
Chapter 13 .A Difference-Cum-Exponential Type Efficient Estimator of Population Mean
Chapter 14. A Study of After-Effects of Kerala Floods Using VIIRS-OLS Nighttime Light Data
Chapter 15. Indian Plate Motion Revealed by GPS Observations: Preliminary Results
RAKHEE KULSHRESTHA is faculty in the Department of Mathematics, Birla Institute of Technology and Science, Pilani. She has received Bachelor of Science, Master of Science in Operations Research from Dr. B.R. Ambedker University, Agra. She has completed her Ph.D. from Centre for Information and Decision Sciences, B.R. Ambedkar University, Agra. There are more than 30 research publications in refereed International/National journals/proceedings and a monograph to her credit. She has participated in over 40 International/National Conferences in India and Abroad and visited many reputed universities/Institutes in Germany, Turkey, Singapore. Her research interests include the areas of applied probability, performance analysis of communication networks, inventory and supply chain management.
CHANDRA SHEKHAR, is faculty at BITS Pilani, India, is actively involved in research in the area of queueing theory, computer and communication system, machine repair problem, reliability and maintainability, stochastic process, evolutionary computation, statistical analysis, fuzzy set & logic. Besides attending, presenting scientific papers, and delivering invited talk in conferences and universities, he has a number of research articles in these fields in journals of repute. He is also a member of the editorial board and reviewer of many reputed journals and Doctoral Research Committee of many technical universities. Authorship of a textbook on Differential Equation is also to his credit.
MADHU JAIN is presently working as an Associate Professor in the Department of Mathematics, Indian Institute of Technology Roorkee, India. She has published over 400 research papers in International Journals, over 100 papers in Conference Proceeding/edited books, and 20 books. She was conferred Young Scientist Award & SERC Visiting Fellow of the Department of Science and Technology (DST), India, and Career Award of University Grant Commission (UGC), India. For outstanding contribution in research, IT Vikas Parisad, India conferred her Vigyan Gaurav award (2007). She is the recipient of the Distinguish Service Award (2011) of Vijnana Parisad of India for her outstanding contributions to Mathematics. She was Visiting Fellow of Isaac Newton Institute of Mathematical Sciences, Cambridge, UK, for during summer in 2010, 2011 & 2014. At present, Dr Madhu Jain is holding the post of President of Vijnana Parisad of India, Secretary of Operations Research Society of India, Agra Chapter, and General Secretary of Global Society of Mathematical and Allied Sciences. She has participated over 150 International/National Conferences in India and Abroad and visited many reputed universities/Institutes in USA, Canada, Australia, UK, Germany, France, Holland, Belgium, Taiwan, UAE. Her current research interest includes Performance modeling of Computer Communication Networks (CCN), Queueing theory, Software and hardware reliability, Supply chain management, Bio-informatics, Soft computing, etc.
SRINIVAS R. CHAKRAVARTHY, Kettering University, USA, is a distinguished professor and Professor of Industrial Engineering and Statistics in the Departments of Industrial and Manufacturing Engineering and Mathematics at Kettering University, Flint, Michigan, USA. He has research experience in the areas of applied stochastic modeling, applied statistics and probability, simulation for queueing, reliability, inventory, and healthcare modeling. His research is documented in more than 115 peer-reviewed publications, and he has made at least 100 presentations (including invited and plenary) in leading national and international conferences. He has also been awarded a number of honors for his pioneering teaching and research contributions. He is an area editor for the journal, Simulation Modeling Theory, and Practice, and an associate editor for the journal IAPQR TRANSACTIONS – Indian Associateship for Productivity, Quality, and Reliability. In addition, he serves as an advisory board member and reviewer for many professional journals, international conferences.