Open Access Open Access  Restricted Access Subscription or Fee Access

Knapsack Problem Solving Using Evolutionary Algorithms Guided by Complex Networks

Joshua Triana, Victor Bucheli, Oswaldo Solarte


The knapsack problem is a well known optimization problem solved using evolutionary computation. In this work we present that the population of the evolutionary computation can be represented as complex networks, as follows: a graph where nodes represents individual solutions and the links represent the crosses among solutions. Furthermore, to improve solutions, new links among nodes of the population are created, thus, the algorithm is guided and the population dynamics of the evolutionary algorithm to solve the knapsack problem. We evaluate that one strategy guided by a complex dynamic network yields better results than a traditional algorithm. The results show that the model proposed improves convergence compared to the traditional solution and shorter execution times. Strategies based on small-world networks are promising in the experiments compared to those using the traditional evolutionary strategy.


Artificial Intelligence, Evolutionary algorithms, Network optimization

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.