2009
DOI: 10.1007/s00500-009-0538-6
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A memetic algorithm for the cyclic antibandwidth maximization problem

Abstract: The cyclic antibandwidth problem is to embed the vertices of a graph G of n vertices on a cycle C n such that the minimum distance (measured in the cycle) of adjacent vertices is maximized. Exact results/conjectures for this problem exist in the literature for some standard graphs, such as paths, cycles, two-dimensional meshes, and tori, but no algorithm has been proposed for the general graphs in the literature reviewed by us so far. In this paper, we propose a memetic algorithm for the cyclic antibandwidth p… Show more

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Cited by 10 publications
(3 citation statements)
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“…Asymptotic results were also obtained for hypercube and Hamming graphs [27,30]. However, only two metaheuristic algorithms have been reported for this important problem, a Memetic Algorithm [31] and a hybrid algorithm combining the Artificial Bee Colony methodology with Tabu Search [32].…”
Section: Relevant Related Workmentioning
confidence: 96%
“…Asymptotic results were also obtained for hypercube and Hamming graphs [27,30]. However, only two metaheuristic algorithms have been reported for this important problem, a Memetic Algorithm [31] and a hybrid algorithm combining the Artificial Bee Colony methodology with Tabu Search [32].…”
Section: Relevant Related Workmentioning
confidence: 96%
“…For selection, we use tournament operator [28]. Crossover and mutation operators are same as in HEA.…”
Section: Comparison Of Hea With Genetic Algorithmmentioning
confidence: 99%
“…Though some research work has done on scheduling problem in hybrid flow shops with limited intermediate buffers, to our best knowledge, memetic algorithm, an efficient method for solving optimization problem in different fields [9][10][11], has not been adopted to solve this problem. So we propose a newly-designed memetic algorithm to solve the NP-hard problem in this paper.…”
Section: Introductionmentioning
confidence: 99%