Book description
Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization.
Concepts of Combinatorial Optimization, is divided into three parts:
- On the complexity of combinatorial optimization problems, presenting basics about worst-case and randomized complexity;
- Classical solution methods, presenting the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming;
- Elements from mathematical programming, presenting fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.
Table of contents
- Cover
- Table of Contents
- Title Page
- Copyright
- Preface
- Chapter 1: Airline Crew Pairing Optimization
- Chapter 2: The Task Allocation Problem
- Chapter 3: A Comparison of Some Valid Inequality Generation Methods for General 0–1 Problems
- Chapter 4: Production Planning
- Chapter 5: Operations Research and Goods Transportation
- Chapter 6: Optimization Models for Transportation Systems Planning
- Chapter 7: A Model for the Design of a Minimum-cost Telecommunications Network
- Chapter 8: Parallel Combinatorial Optimization
- Chapter 9: Network Design Problems: Fundamental Methods
- Chapter 10: Network Design Problems: Models and Applications
-
Chapter 11: Multicriteria Task Allocation to Heterogenous Processors with Capacity and Mutual Exclusion Constraints
- 11.1. Introduction and Formulation of the Problem
- 11.2. Modeling the Set of Feasible Assignments
- 11.3. The Concept of a Blocking Configuration and Analysis of the Unblocking Means
- 11.4. The Multicriteria Assignment Problem
- 11.5. Exploring a Set of Feasible Non-Dominated Assignments in the Plane g2 × g3
- 11.6. Numerical Example
- 11.7. Conclusion
- 11.8. Bibliography
- General Bibliography
- List of Authors
- Index
Product information
- Title: Applications of Combinatorial Optimization, 2nd Edition
- Author(s):
- Release date: September 2014
- Publisher(s): Wiley-ISTE
- ISBN: 9781848216587
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