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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 3672758, 10 pages
Research Article

Evolutionary Algorithm with Roulette-Tournament Selection for Solving Aquaculture Diet Formulation

1School of Quantitative Sciences, Universiti Utara Malaysia (UUM), 06010 Sintok, Kedah, Malaysia
2Mariculture Research Centre, Bukit Malut, 07000 Langkawi, Malaysia
3School of Computing, Universiti Utara Malaysia (UUM), 06010 Sintok, Kedah, Malaysia

Received 12 January 2016; Accepted 12 May 2016

Academic Editor: Haipeng Peng

Copyright © 2016 Rosshairy Abd Rahman et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The function of operators in an evolutionary algorithm (EA) is very crucial as the operators have a strong effect on the performance of the EA. In this paper, a new selection operator is introduced for a real valued encoding problem, which specifically exists in a shrimp diet formulation problem. This newly developed selection operator is a hybrid between two well-known established selection operators: roulette wheel and binary tournament selection. A comparison of the performance of the proposed operator and the other existing operator was made for evaluation purposes. The result shows that the proposed roulette-tournament selection is better in terms of its ability to provide many good feasible solutions when a population size of 30 is used. Thus, the proposed roulette-tournament is suitable and comparable to established selection for solving a real valued shrimp diet formulation problem. The selection operator can also be generalized to any problems related to EA.