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Title: Hybridized gravitational search algorithms with real coded genetic algorithms for integer and mixed integer optimization problems
Authors: Singh A.
Deep, K.
Bansal J.C.
Pant M.
Das K.N.
Nagar A.K.
Garg H.
Deep K.
Lal A.K.
Published in: Proceedings of Advances in Intelligent Systems and Computing
Abstract: In this paper, the Gravitational Search Algorithm (GSA) is hybridized with real coded Genetic Algorithm to solve Integer and Mixed Integer programming problems. The idea is based on two earlier papers of the authors. In the first paper, the authors proposed a methodology in which the Laplace Crossover and Power Mutation were embedded in Gravitational Search Algorithm and in the second paper, these algorithms were extended for the case of constrained optimization problems. In order to deal with integer variables, a special method is adopted. For dealing with the constraints the Deb’s technique is implemented. The original GSA and three new variants are tested on a set of benchmark problems available in literature. Based on the extensive numerical and graphical analysis of results it is concluded that one of the proposed variants outperform the original GSA and the other proposed variants. © Springer Nature Singapore Pte Ltd. 2017.
Citation: Proceedings of Advances in Intelligent Systems and Computing, (2017), 84- 112
Issue Date: 2017
Publisher: Springer Verlag
Keywords: Constrained optimization problems
Gravitational search algorithm
Integer and mixed integer programming problems
Laplace crossover
Power mutation
Constrained optimization
Genetic algorithms
Integer programming
Laplace transforms
Learning algorithms
Soft computing
Constrained optimi-zation problems
Gravitational search algorithms
Laplace crossover
Mixed integer programming
Power mutation
Problem solving
ISBN: 9.79E+12
ISSN: 21945357
Author Scopus IDs: 57211750941
Author Affiliations: Singh, A., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Deep, K., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Corresponding Author: Singh, A.; Department of Mathematics, Indian Institute of Technology RoorkeeIndia; email:
Appears in Collections:Conference Publications [MA]

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