Combinatorial Optimization Under Uncertainty

Real-Life Scenarios in Allocation Problems
1. Auflage 2024
ISBN: 978-1-032-35855-0
Verlag: CRC Press

Buch, Englisch, 220 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 318 g

Reihe: Advances in Metaheuristics

This book discusses the basic ideas, underlying principles, mathematical formulations, analysis and applications of the different combinatorial problems under uncertainty and attempts to provide solutions for the same. Uncertainty influences the behaviour of the market to a great extent. Global pandemics and calamities are other factors which affect and augment unpredictability in the market. The intent of this book is to develop mathematical structures for different aspects of allocation problems depicting real life scenarios. The novel methods which are incorporated in practical scenarios under uncertain circumstances include the STAR heuristic approach, Matrix geometric method, Ranking function and Pythagorean fuzzy numbers, to name a few. Distinct problems which are considered in this book under uncertainty include scheduling, cyclic bottleneck assignment problem, bilevel transportation problem, multi-index transportation problem, retrial queuing, uncertain matrix games, optimal production evaluation of cotton in different soil and water conditions, the healthcare sector, intuitionistic fuzzy quadratic programming problem, and multi-objective optimization problem. This book may serve as a valuable reference for researchers working in the domain of optimization for solving combinatorial problems under uncertainty. The contributions of this book may further help to explore new avenues leading toward multidisciplinary research discussions.

Zielgruppe

Academic, Postgraduate, Professional, and Professional Reference

Autoren/Hrsg.

Arora, Ritu

Arora, Shalini

Kulkarni, Anand

Siarry, Patrick

Fachgebiete

• Wirtschaftswissenschaften Betriebswirtschaft Unternehmensforschung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz
• Mathematik | Informatik EDV | Informatik Technische Informatik
• Mathematik | Informatik EDV | Informatik EDV & Informatik Allgemein
• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Enzyklopädien, Nachschlagewerke, Wörterbücher
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Spiele-Programmierung, Rendering, Animation

Inhaltsverzeichnis

Preface. About the Editors. Chapter 1 Estimation of Uncertainties for Multiserver Queuing Systems with Bernoulli Feedback. Chapter 2 Optimality for Fuzzy Transportation Problem under Ranking Method. Chapter 3 Solution of Bilevel Linear Fractional Transportation Problem with Pythagorean Fuzzy Numbers. Chapter 4 Optimal Production Evaluation of Cotton in Different Soil and Water Conditions in Sundarban of West Bengal under Hesitant Interval Fuzzy Environment Using Projection Measures. Chapter 5 A Novel Approach for Feature Detection in Vector Graphics. Chapter 6 On Uncertain Matrix Games Involving Linguistic Pythagorean Fuzzy Sets. Chapter 7 Cyclic Surgery Scheduling using Variations of Cohort Intelligence. Chapter 8 Cone Method for Uncertain Multiobjective Optimization Problems with Minmax Robustness. Chapter 9 Solving Multi-Index Transportation Problem with Axial Constraints Having Impaired Flow. Chapter 10 STAR Heuristic Method: A Novel Approach and Its Comparative Analysis with CI Algorithm to Solve CBAP in Healthcare. Chapter 11 Development and Optimization of Quadratic Programming Problems with Intuitionistic Fuzzy Parameters. Index

Über Autor(innen)

Dr. Ritu Arora received her Ph.D degree from University of Delhi, India. She has a teaching experience of 20 years in University of Delhi. Her research specialization is in the field of mathematical programming and its application to allocation problems. She is currently working as a Professor in the Department of Mathematics, Keshav Mahavidyalaya, University of Delhi.

Prof. Shalini Arora is presently working as Professor in Mathematics at Applied Sciences and Humanities Department, IGDTUW. She has more than 20 years of Teaching experience. She did her Masters and Ph.D in Mathematics from IIT Delhi. She is a recipient of the ‘Young Scientist Award’ by the SERC division of DST. She has a teaching experience of more than 19 years. Her areas of research interest include Mathematical Programming, Allocation Problems viz., Transportation and Assignment Problems, Combinatorial optimization etc.

Dr. Anand J Kulkarni holds a PhD in Distributed Optimization from Nanyang Technological University, Singapore. He worked as Research Fellow at Odette School of Business, University of Windsor, Canada. He is currently working as Professor and Associate Director of the Institute of AI at the MITWPU, Pune, India.

Dr. Patrick Siarry received a PhD degree from the University Paris 6, in 1986 and the Doctorate of Sciences (Habilitation) from the University Paris 11, in 1994. Since 1995, he is working as a professor in automatics and informatics. His main research interests are design of new stochastic global optimization heuristics and their applications to various engineering fields.