Combinatorial Optimization Under Uncertainty

Real-Life Scenarios in Allocation Problems

Ritu Arora, Shalini Arora, Anand Kulkarni, Patrick Siarry, Anand J Kulkarni

• Publisher: CRC Press
• Year: 2023
• Print ISBN:
  9781032316581
• eBook ISBN:
  9781000859850
• Topic: Business
• Subtopic: Artificial Intelligence (AI) & Semantics
• Index: Business

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.

Table of contents

• Cover
• Half-Title Page
• Series Page
• Title Page
• Copyright Page
• Table of Contents
• Preface
• 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