A hybrid self-adaptive evolutionary algorithm for the minimum weight dominating set problem
by Geng Lin
International Journal of Wireless and Mobile Computing (IJWMC), Vol. 11, No. 1, 2016

Abstract: Given an undirected graph with weights associated with its vertices, the minimum weight dominating set problem (MWDSP) is to determinate a subset of vertices with minimum sum of weights such that each vertex of the graph either belongs to the subset or is adjacent to a vertex in the subset. This paper presents a hybrid self-adaptive evolutionary algorithm for the MWDSP. A greedy randomised adaptive construction procedure is used to generate an initial population. Then, a crossover operator and an adaptive mutation operator are employed to generate a new solution, which is further refined by an adaptive tabu search. These adaptive strategies make a good balance between intensification and diversification. Computational experiments on two types of benchmark instances prove that our proposed algorithm can find high quality solutions in a short computing time.

Online publication date: Wed, 28-Sep-2016

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