1. The small world of efficient solutions: empirical evidence from the bi-objective {0,1}-knapsack problem
- Author
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João Clímaco, Adiel Teixeira de Almeida Filho, and Carlos Gomes da Silva
- Subjects
Mathematical optimization ,Optimization problem ,Small-world network ,Artificial neural network ,Network science ,Management Science and Operations Research ,Complex network ,Theoretical Computer Science ,Management Information Systems ,Computational Theory and Mathematics ,Knapsack problem ,Cellular network ,Series-parallel networks problem ,Mathematics - Abstract
The small world phenomenon, Milgram (1967) has inspired the study of real networks such as cellular networks, telephone call networks, citation networks, power and neural networks, etc. The present work is about the study of the graphs produced by efficient solutions of the bi-objective {0,1}-knapsack problem. The experiments show that these graphs exhibit properties of small world networks. The importance of the supported and non-supported solutions in the entire efficient graph is investigated. The present research could be useful for developing more effective search strategies in both exact and approximate solution methods of {0,1} multi-objective combinatorial optimization problems.
- Published
- 2009
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