1st Edition

Advances on Mathematical Modeling and Optimization with Its Applications

    278 Pages 111 B/W Illustrations
    by CRC Press

    Advances on Mathematical Modeling and Optimization with Its Applications discusses optimization, equality, and inequality constraints and their application in the versatile optimizing domain. It further covers non-linear optimization methods such as global optimization, and gradient-based non-linear optimization, and their applications.

    • Discusses important topics including multi-component differential equations, geometric partial differential equations, and computational neural systems
    • Covers linear integer programming and network design problems, along with an application of the mixed integer problems
    • Discusses constrained and unconstrained optimization, equality, and inequality constraints, and their application in the versatile optimizing domain
    • Elucidates the application of statistical models, probability models, and transfer learning concepts
    • Showcases the importance of multi-attribute decision modeling in the domain of image processing and soft computing

    The text is primarily for senior undergraduate and graduate students, and academic researchers in the fields of mathematics, statistics, and computer science.

    1.  Mathematical Modeling and Analysis of a Marine Ecosystem: A Deterministic and Stochastic Processes
    Anal Chatterjee

    2.  Multi-criteria Optimization and Compromise Solution to Select Financially Efficient NIFTY IT Companies Pre & During COVID-19 Pandemic
    Subrata Jana, Prof. Bibhas Chandra Giri, Prof. Anirban Sarkar, Dr. Biswadip Basu Mallik

    3.  Conjoint Analysis: A Heuristic Decision-making Model of Product Selection
    Sweety Mukherjee, Ayushman Malakar, Arnab Roy

    4.  Ranking of Wear Behaviour Characteristics in Al6061 Reinforced with Industrial Waste Materials using PROMETHEE and MOORA Methods
    Sibabrata Mohanty, Amit Jain Biswal, Niyati Naik, Debesh Mishra, Ajay Soni

    5.  Aqueous Humor Flow in the Schlemm's Canal via Rectangular Channel: Mathematical Modeling for Analytical Results, Numerical Experiments, and Implications for Treatments
    Shabab Akbar, Sapna Ratan Shah, Sardar M N Islam

    6. Solving Fuzzy Nonlinear Optimization Problems using Evolutionary Algorithms
    Dr. Yogeesh N

    7.  Mathematical Modelling Techniques and Applications of Wireless Communication Using Fuzzy Logic
    Dr. Yogeesh N,  Dr. Girija D.K, Dr. Rashmi M, Dr. Shilpa H K

    8.  Availability Optimization of Poly-Ethylene Terephthalate Bottle Hot Drink Filling System using Particle Swarm and Grey Wolf Optimizers
    Parul Punia, Amit Raj, Pawan Kumar

    9. Optimization of Drilling Parameters on Glass Fibre Reinforced Polymer Composites with Stainless Steel Mesh using Taguchi and Grey Fuzzy Relation Methods
    M.Sakthivel, P.Raja

    10.  A Comprehensive Mathematical Framework for Diabetes and its Complications in Crisp and Fuzzy Settings
    Purnima Pandit, Payal Singh, Sujata Panda

    11.  Applications of Mathematical Techniques to Artificial Intelligence: Mathematical Methods, Algorithms, Computer Programming, and Applications
    Rashmi Singh, Neha Bhardwaj, Sardar M. N. Islam

    12.  Prediction of Winning Team in Soccer Game – A Supervised
    Machine Learning-Based Approach
    |Sanjay Chakraborty, Lopamudra Dey, Saikat Maity, Animesh Kairi

    13.  Asset Liability Management Model-Based on Duration Convesity for Commercial Banks
    Sahidul Islam

    14.  A Qualitative Mathematical Analysis of Pandemic SARS-Cov-2 with Special Emphasis on Uncertain Environments
    Kalyan Das, M. N. Srinivas, Md Humayun Kabir, Md Osman. Gani, Md Haider Ali Biswas

    15.  A Game Theory Model to Analyze Business Strategies for Increasing Profits: Analytical and Computational Approaches
    Wong Wai Peng, Sardar M N Islam, Daniel Christopher Schoch

    16.  An Efficient Course Assignment Technique Based on Teachers Ratings to Support Higher Education Systems
    Chittaranjan Mallick, Sourav Kumar Bhoi, Kalyan Kumar Jena, Debasis Mohapatra



    Dr. Gunjan Mukherjee is currently an associate professor in the Department of Computational Sciences at Brainware University. He completed his BSc in Physics from Calcutta University, MCA from IGNOU, MTech from Calcutta University and earned his PhD in Engineering from Jadavpur University. His areas of research interests include computer vision, machine learning, soft computing, image processing, etc. He is a life member of CSI, ISOC, and IAENG and has published a number of papers in journals and international conferences of repute. Dr. Mukherjee guided many students of BTech and MCA in their projects and research works. He has solely authored the school computer book series (classes 3–10), a textbook on IT systems theory for engineering students, and is presently writing a book on Python technology. He is currently attached to a reputed publishing house for publication of question/answer‑based books for diploma and engineering level students. He has acted as a reviewer for many technical books. Dr. Gunjan was an assistant teacher at the Sree Aurobindo Institute of Education, an education officer in CSI, Kolkata chapter, a senior faculty in NIT Ltd, and a lecturer at Calcutta Institute of Technology. He also served as a visiting faculty in Aliha University, Techno India College and JIS College.

    Dr. Biswadip Basu Mallik is presently an Associate Professor of Mathematics in the Department of Basic Sciences and Humanities at Institute of Engineering & Management, Kolkata, India. He has been involved in teaching and research for almost 22 years and has published several research papers and book chapters in various scientific journals and with reputed publishers. He has authored five books at undergraduate levels in the areas of Engineering Mathematics, Quantitative Methods and Computational Intelligence. He has also published five Indian patents along with thirteen edited books. His fields of research work are Computational Fluid Dynamics, Mathematical Modelling, Machine Learning, and Optimization. Dr. Basu Mallik is a Managing editor of Journal of Mathematical Sciences & Computational Mathematics (JMSCM), USA. He is also an Editorial board member and reviewer of several scientific journals. He is a senior life member of Operational Research Society of India (ORSI) and a life member of Calcutta Mathematical Society (CMS), Indian Statistical Institute (ISI), Indian Science Congress Association (ISCA), and International Association of Engineers (IAENG).

    Rahul Kar has an M.Sc. in Pure Mathematics and is pursuing his PhD from Bankura University. He currently works as a Faculty of Mathematics at Kalyani Mahavidyalaya, Kalyani, Nadia, West Bengal. He has served as a guest faculty of the Gurunanak Institute of Technology and two other colleges. In total, he has 7 years of teaching experience. Rahul has published many research papers with the Scopus index and is an editor of four national and international journals and a reviewer of five international journals. He has been an editor for ten mathematics/computer books and is an annual member of the Indian Mathematical Society as well as an honorary member of Carmels Research Institute, Dakar, Senegal.

    Aryan Chaudhary is the Chief Scientific Advisor at BioTech Sphere Research, India, having served as the Research Head at Nijji HealthCare Pvt Ltd, Head of Research, Nuvem Resources, and other invited positions. He has demonstrated his expertise in leveraging revolutionary technologies such as artificial intelligence, deep learning, IoT, cognitive technology, and blockchain to revolutionize the healthcare landscape. His relentless pursuit of excellence and innovation has earned him recognition as a thought leader in the industry. His dedication to advancing healthcare is evident through his vast bodies of work. He has authored several influential academic papers on public health and digital health, published in prestigious international journals. His research primarily focuses on integrating IoT and sensor technology for efficient data collection through one‑time and ambulatory monitoring. As a testament to his expertise and leadership, he is not only a keynote speaker at numerous international and national conferences but also serves as the Series Editor of a CRC book series and is the editor of several books on biomedical science. His commitment to the advancement of scientific knowledge extends further, as he acts as a guest editor for special issues in renowned journals. Recognized for his significant contributions, he has received prestigious accolades, including the "Most Inspiring Young Leader in Healthtech Space 2022" by Business Connect, and the title of the best project leader at Global Education and Corporate Leadership. Moreover, he holds senior memberships in various international science associations, reflecting his influence and impact in the field. Adding to his accomplishments, Aryan Chaudhary is currently serving as a Guest Editor for a special issue in the highly regarded Journal: EAI Endorsed Transactions on AI and Robotics, and he has joined the Editorial Board of Biomedical Science and Clinical Research (BSCR). Additionally, he is a respected professional member of the Association for Computing Machinery (ACM). Recently, he has been elected as Chair for the ACM Professional Chapter.