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Fundamentals of Computational Swarm Intelligence

ISBN: 978-0-470-09191-3
Hardcover
616 pages
December 2005
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List of Tables.

List of Figures.

List of Algorithms.

Preface.

1. Introduction.

PART I: OPTIMIZATION THEORY.

2. Optimization Problems and Methods.

2.1 Basic ingredients of optimization problems.

2.2 Optimization problem classifications.

2.3 Optimality conditions.

2.4 Optimization method classes.

2.5 General conditions for convergence.

2.6 Summary.

3. Unconstrained Optimization.

3.1 Problem definition.

3.2 Optimization algorithms.

3.3 Example benchmark problems.

3.4 Summary.

4. Constrained Optimization.

4.1 Definition.

4.2 Constraint handling methods.

4.3 Example benchmark problems.

4.4 Summary.

5. Multi-solution Problems.

5.1 Definition.

5.2 Niching algorithm categories.

5.3 Example benchmark problems.

5.4 Summary.

6. Multi-objective Optimization.

6.1 Multi-objective problem.

6.2 Pareto-optimality.

6.3 Summary.

7. Dynamic Optimization Problems.

7.1 Definition.

7.2 Dynamic environment types.

7.3 Example benchmark problems.

7.4 Summary.

PART II: EVOLUTIONARY COMPUTATION.

8. Introduction to Evolutionary Computation.

8.1 General evolutionary algorithm.

8.2 Representation.

8.3 Initial population.

8.4 Fitness function.

8.5 Selection.

8.6 Reproduction operators.

8.7 Evolutionary computation versus classical optimization.

8.8 Summary.

9. Evolutionary Computation Paradigms.

9.1 Genetic algorithms.

9.2 Genetic programming.

9.3 Evolutionary programming.

9.4 Evolution strategies.

9.5 Differential evolution.

9.6 Cultural algorithms.

9.7 Summary.

10. Coevolution.

10.1 Competitive coevolution.

10.2 Cooperative coevolution.

10.3 Summary.

PART III: PARTICLE SWARM OPTIMIZATION.

11. Introduction.

12. Basic Swarm Optimization.

12.1 Full PSO model.

12.2 Social network structures.

12.3 Basic variations.

12.4 Basic PSO parameters.

12.5 Performance measures.

12.6 PSO versus EC.

12.7 Summary.

13. Particle Trajectories.

13.1 Convergence.

13.2 Surfing the waves.

13.3 Swarm equilibrium.

13.4 Constricted trajectories.

13.5 Unconstricted trajectories.

13.6 Parameter selection heuristics.

13.7 Summary.

14. Convergence Proofs.

14.1 Convergence proof for basic PSO.

14.2 PSO with guaranteed local convergence.

14.3 Global convergence of PSO.

14.4 Summary.

15. Single-Solution Particle Swarm Optimization.

15.1 Social based PSO algorithms.

15.2 Hybrid algorithms.

15.3 Sub-swarm-based PSO.

15.4 Memetic PSO algorithms.

15.5 Multi-start PSO algorithms.

15.6 Repelling methods.

15.7 Summary.

16. Niching with Particle Swarm Optimization.

16.1 Niching capability of basic PSO.

16.2 Sequential PSO niching.

16.3 Parallel PSO niching.

16.4 Quasi-sequential niching.

16.5 Performance measures.

16.6 Summary.

17. Constrained Optimization Using Particle Swarm Optimization.

17.1 Reject infeasible solutions.

17.2 Penalty function methods.

17.3 Convert to unconstrained problems.

17.4 Repair methods.

17.5 Preserving feasibility methods.

17.6 Pareto ranking methods.

17.7 Boundary constraints.

17.8 Applications.

17.9 Summary.

18. Multi-Objective Optimization with Particle Swarms.

18.1 Objectives of MOO.

18.2 Basic PSO versus MOO.

18.3 Aggregation-based methods.

18.4 Criterion-based methods.

18.5 Dominance-based methods.

18.6 Performance measures.

18.7 Summary.

19. Dynamic Environments with Particle Swarm Optimization.

19.1 Consequences for PSO.

19.2 PSO solutions for dynamic environments.

19.3 Performance measurement in dynamic environments.

19.4 Applications of PSO to dynamic problems.

19.5 Summary.

20. Discrete Particle Swarm Optimization.

20.1 Binary PSO.

20.2 General Discrete PSO.

20.3 Example applications.

20.4 Design of combinational circuits.

20.5 Summary.

21. Particle Swarm Optimization Applications.

21.1 Neural networks.

21.2 Game learning.

21.3 Clustering applications.

21.4 Design applications.

21.5 Scheduling and planning applications.

21.6 Controllers applications.

21.7 Applied mathematics.

21.8 Applications in power systems.

21.9 Miscellaneous applications.

21.10 Summary.

PART VI: ANT ALGORITHMS.

22. Introduction.

23. Ant Colony Optimization Meta-Heuristic.

23.1 Foraging behaviour of ants.

23.2 Simple ant colony optimization.

23.3 Early ant algorithms.

23.4 Parameter settings.

23.5 Summary.

24. General Frameworks for Ant Colony Optimization Algorithms.

24.1 ACO algorithms characteristics.

24.2 Generic frameworks.

24.3 Summary.

25. Ant Colony Optimization Algorithms.

25.1 Single colony ACO algorithms.

25.2 Continuous ACO.

25.3 Multiple colony algorithms.

25.4 Hybrid ACO algorithms.

25.5 Multi-objective optimization.

25.6 Dynamic optimization problems.

25.7 Parallel ACO algorithms.

25.8 Summary.

26. Ant Colony Optimization Applications.

26.1 General requirements.

26.2 Ordering problems.

26.3 Assignment problems.

26.4 Subset problems.

26.5 Grouping problems.

26.6 Summary.

27. Collective Decision-Making.

27.1 Stigmergy.

27.2 Artificial Pheromone.

27.3 Heterarchy.

27.4 Summary.

28. Ant Colony Optimization Convergence.

28.1 Convergence proofs and characteristics.

28.2 Convergence measures.

28.3 Summary.

29. Cemetery Organisation and Brood Care.

29.1 Basic ant colony clustering model.

29.2 Generalized ant colony clustering model.

29.3 Minimal model for ant clustering.

29.4 Ant clustering ensemble.

29.5 Hybrid clustering approaches.

29.6 Ant clustering applications.

29.7 Summary.

30. Division of Labor.

30.1 Division of labor in insect colonies.

30.2 Task allocation based on response thresholds.

30.3 Adaptive task allocation and specialization.

30.4 Summary.

31. Final Remarks.

References.

Further Reading.

Appendix A: Acronyms.

Appendix B: Symbols.

B.1 Part I - Optimization Theory.

B.2 Part II - Evolutionary Computation.

B.3 Part III - Particle Swarm Optimization.

B.4 Part IV - Ant Algorithms.

Index.

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