Modeling and Applications in Operations Research

The text envisages novel optimization methods that significantly impact real-life problems, starting from inventory control to economic decision-making. It discusses topics such as inventory control, queueing models, timetable scheduling, fuzzy optimization, and the Knapsack problem. The book’s content encompass the following key aspects:

• Presents a new model based on an unreliable server, wherein the convergence analysis is done using nature-inspired algorithms
• Discusses the optimization techniques used in transportation problems, timetable problems, and optimal/dynamic pricing in inventory control
• Highlights single and multi-objective optimization problems using pentagonal fuzzy numbers
• Illustrates profit maximization inventory model for non-instantaneous deteriorating items with imprecise costs
• Showcases nature-inspired algorithms such as particle swarm optimization, genetic algorithm, bat algorithm, and cuckoo search algorithm

The text covers multi-disciplinary real-time problems such as fuzzy optimization of transportation problems, inventory control with dynamic pricing, timetable problem with ant colony optimization, knapsack problem, queueing modeling using the nature-inspired algorithm, and multi-objective fuzzy linear programming. It showcases a comparative analysis for studying various combinations of system design parameters and default cost elements. It will serve as an ideal reference text for graduate students and academic researchers in the fields of industrial engineering, manufacturing engineering, production engineering, mechanical engineering, and mathematics.

Jyotiranjan Nayak is a Professor in the Department of Mathematics at the Faculty of Science and Technology (IcfaiTech), IFHE, Hyderabad, India. Prior to this, he was Associate Professor at the Institute of Technical Education and Research, Siksha “O” Anusandhan University, Bhubaneswar, India, and has more than 32 years of teaching experience in undergraduate and postgraduate engineering studies. He taught the subjects like differential equations, vector analysis, complex analysis, linear algebra, numerical methods, optimization techniques, discrete mathematics, and advanced calculus at the undergraduate level. He taught postgraduate students algebra, cryptography, number theory, real analysis, topology, combinatorics, graph theory, and operations research. For Ph.D. students, he has delivered lectures on advanced computational mathematics, matrix algebra, and design of experiments at different universities, including Utkal University, Biju Patnaik University of Technology, Berhampur University, Siksha “O” Anusandhan, and ICFAI University. Besides, he has been a guest and visiting faculty at many other universities in the country. He obtained his Ph.D. degree from Utkal University in 2005. His research areas include non-convex programming, fuzzy optimization, optimal control, and topology optimization. He has published 12 research papers in leading national and international journals. He is also the former associate editor of The Journal of Orissa Mathematical Society. He was Vice-President of the Operational Research Society of India (ORSI), Bhubaneswar chapter. He is an executive member of the Orissa Mathematical Society (OMS) and a life member of the Indian Society for Technical Education (ISTE), Orissa Information Society (OITS), and Ramanujan Society of Mathematics and Mathematical Sciences (RSMSS).

Shreekant Varshney is Assistant Professor in the Department of Mathematics, School of Technology (SoT), Pandit Deendayal Energy University, Gandhinagar, Gujarat, India. Before this, he worked as Assistant Professor in the Department of Mathematics at the Faculty of Science and Technology (IcfaiTech), IFHE, Hyderabad, India. He obtained his Ph.D. degree from the Birla Institute of Technology and Science Pilani, Pilani Campus, in 2020. He is actively involved in the research areas, namely queueing theory, machine repair problem (MRP), optimal control, reliability and maintainability, stochastic modeling, sensitivity analysis, evolutionary computation, statistical analysis, fuzzy set and logic, etc. He has taught undergraduate subjects such as linear algebra, differential equations, complex analysis, advanced calculus, numerical methods, and probability and statistics. He also has experience in teaching courses like research methodology, stochastic modeling, and introduction to queueing theory for Ph.D. students. Besides attending, presenting scientific papers, and delivering invited talks in FDPs, he has organized several workshops and symposiums. He has been awarded second prize in the academic writing competition organized by SIAM journal publishing. He has 13 research articles in journals of high repute, namely, Reliability Engineering and System Safety, Journal of Computational and Applied Mathematics, Quality Technology and Quantitative Management, Arabian Journal of Science and Engineering, etc. He is also a reviewer of many reputed journals. As a professional, he has visited IIRS (ISRO), CSIR-IIP, and WIHG.

Chandra Shekhar, the Professor and Ex-HoD of the Department of Mathematics at BITS Pilani, India, is actively involved in research and teaching in the area of queueing theory, computer and communication systems, machine repair problems, reliability and maintainability, stochastic processes, evolutionary computation, statistical analysis, and fuzzy set and logic. He has expertise in the subjects of probability and statistics, differential equations, linear algebra, advanced calculus, complex variables, and statistical inference at the undergraduate level of teaching. He has taught real analysis, topology, cryptography, applied mathematics, computational mathematics, cybernetics, and many more at the post-graduation level. He has been a pioneer in evolutionary computation, Markovian and stochastic modeling, research methodology, and queueing analysis and its applications. Besides attending, presenting scientific papers, and delivering invited talks at national/international conferences and FDPs, he has organized many conferences, workshops, and symposiums as a convener and as an organizing secretary. The best research paper award has been bestowed at the international conference. He has 48 research articles in these fields in journals of high repute and has supervised two Ph.D. theses. Besides some book chapters in an edited book published by the publisher of international reputation, authorship of the textbook titled Differential Equations, Calculus of Variations and Special Functions and the edited book titled Mathematical Modeling and Computation of Real-Time Problems: An Interdisciplinary Approach is also to his credit. He is also a member of the editorial board and a reviewer of many reputed journals, academic societies and Doctoral Research Committee, advisory board, faculty selection committee, and the examination board of many governments and private universities, institutions, or research labs. As a professional, he has visited□ IIRS (ISRO), CSIR-IIP, NIH, WIHG, CPWD, NTPC, Bank of Maharashtra, and APS Lifetech.