Rahbari, M., Fathali, J., Mortazavi, R. (2016). A hybrid algorithm for the path center problem. Global Analysis and Discrete Mathematics, 1(2), 83-92. doi: 10.22128/gadm.2016.58

Maryam Rahbari; Jafar Fathali; Reza Mortazavi. "A hybrid algorithm for the path center problem". Global Analysis and Discrete Mathematics, 1, 2, 2016, 83-92. doi: 10.22128/gadm.2016.58

Rahbari, M., Fathali, J., Mortazavi, R. (2016). 'A hybrid algorithm for the path center problem', Global Analysis and Discrete Mathematics, 1(2), pp. 83-92. doi: 10.22128/gadm.2016.58

Rahbari, M., Fathali, J., Mortazavi, R. A hybrid algorithm for the path center problem. Global Analysis and Discrete Mathematics, 2016; 1(2): 83-92. doi: 10.22128/gadm.2016.58

^{1}Department of Mathematics, Shahrood University of Technology, University Blvd., Shahrood, Iran

^{2}Department of Mathematics, Damghan University, Damghan, Iran

Abstract

Let a graph G = (V;E) be given. In the path center problem we want to find a path P in G such that the maximum weighted distance of P to every vertex in V is minimized. In this paper a genetic algorithm and a hybrid of genetic and ant colony algorithms are presented for the path center problem. Some test problems are examined to compare the algorithms. The results show that for almost all examples the hybrid method results better solutions than genetic algorithm.

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