Uncertain Graph and Network Optimization (Springer Uncertainty Research)

✍ Scribed by Bo Zhang, Jin Peng

• Publisher: Springer
• Year: 2022
• Tongue: English
• Leaves: 144
• Category: Library

✦ Synopsis

This first book focuses on uncertain graph and network optimization. It covers three different main contents: uncertain graph, uncertain programming and uncertain network optimization. It also presents applications of uncertain network optimization in a lot of real problems such as transportation problems, dispatching medical supplies problems and location problems.
The book is suitable for researchers, engineers, teachers and students in the field of mathematics, information science, computer science, decision science, management science and engineering, artificial intelligence, industrial engineering, economics and operations research.

✦ Table of Contents

Preface
Graph and Network
Uncertainty Theory
Uncertain Programming
Uncertain Graph
Uncertain Network Optimization
Applications of Uncertain Network Optimization
Uncertainty Theory Online
Purpose
Reference
About This Book
Contents
About the Authors
Frequently Used Symbols
1 Introduction
1.1 Graph and Network
1.2 Uncertain Graph
1.3 Uncertain Network Optimization
References
2 Graph and Network
2.1 Graph
2.2 Network
2.3 Network Optimization
References
3 Uncertainty Theory
3.1 Uncertain Measure
3.2 Uncertain Variable and Its Distribution
3.3 Operational Law
3.4 Expected Value
3.5 Variance
References
4 Uncertain Programming
4.1 Expected Value Model
4.2 Chance-Constrained Programming
4.3 Measure-Chance Programming
References
5 Uncertain Graph
5.1 Connectivity Index
5.2 Euler Index
5.3 Matching Index
5.4 Matching Number
References
6 Uncertain Network Optimization
6.1 Uncertain Chinese Postman Problem
6.2 Uncertain Assignment Problem
6.3 Uncertain Shortest Path Problem
References
7 Applications of Uncertain Network Optimization
7.1 Transportation Problem
7.2 Dispatching Medical Supplies
7.3 Covering Location Problem
References
Index