Bioinspired Computation in Combinatorial Optimization: Algorithms and Their Computational Complexity

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Bioinspired computation methods, such as evolutionary algorithms and ant colony optimization, are being applied successfully to complex engineering and combinatorial optimization problems, and it is very important that we understand the computational complexity of these search heuristics. This is the first book to explain the most important results achieved in this area.

The authors show how runtime behavior can be analyzed in a rigorous way. in particular for combinatorial optimization. They present well-known problems such as minimum spanning trees, shortest paths, maximum matching, and covering and scheduling problems. Classical single-objective optimization is examined first. They then investigate the computational complexity of bioinspired computation applied to multiobjective variants of the considered combinatorial optimization problems, and in particular they show how multiobjective optimization can help to speed up bioinspired computation for single-objective optimization problems.

This book will be valuable for graduate and advanced undergraduate courses on bioinspired computation, as it offers clear assessments of the benefits and drawbacks of various methods. It offers a self-contained presentation, theoretical foundations of the techniques, a unified framework for analysis, and explanations of common proof techniques, so it can also be used as a reference for researchers in the areas of natural computing, optimization and computational complexity.

Author(s): Frank Neumann, Carsten Witt (auth.)
Series: Natural Computing Series
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2010

Language: English
Pages: 216
Tags: Algorithm Analysis and Problem Complexity; Optimization; Theory of Computation; Artificial Intelligence (incl. Robotics)

Front Matter....Pages I-XII
Front Matter....Pages 1-1
Introduction....Pages 3-7
Combinatorial Optimization and Computational Complexity....Pages 9-19
Stochastic Search Algorithms....Pages 21-32
Analyzing Stochastic Search Algorithms....Pages 33-48
Front Matter....Pages 49-49
Minimum Spanning Trees....Pages 51-74
Maximum Matchings....Pages 75-94
Makespan Scheduling....Pages 95-110
Shortest Paths....Pages 111-131
Eulerian Cycles....Pages 133-146
Front Matter....Pages 147-147
Multi-objective Minimum Spanning Trees....Pages 149-159
Minimum Spanning Trees Made Easier....Pages 161-169
Covering Problems....Pages 171-189
Cutting Problems....Pages 191-203
Back Matter....Pages 205-216