Numerical Algebra, Control and Optimization (NACO)

Filter-based genetic algorithm for mixed variable programming
Pages: 99 - 116, Volume 1, Issue 1, March 2011

doi:10.3934/naco.2011.1.99      Abstract        References        Full text (224.8K)           Related Articles

Abdel-Rahman Hedar - Dept. of Computer Science, Faculty of Computers and Information, Assiut University, Assiut 71526, Egypt (email)
Alaa Fahim - Dept. of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt (email)

1 C. Audet and J. E. Dennis, Jr., Analysis of generalized pattern searches, SIAM Journal on Optimization, 13(3) (2003), 889-903.       
2 J. E. Baker, Adaptive selection methods for genetic algorithms, In "Proceedings of the First International Conference on Genetic Algorithms''(eds. J. J. Grefenstette), Lawrence Erlbaum Associates, Hillsdale, MA (1985), 101-111.
3 T. Butter, F. Rothlauf, J. Grahl, T. Hildenbrand and J. Arndt, Developing Genetic Algorithm and Mixed Integer Linear Programs for finding optimal strategies for a student's activity, (2006).
4 K. Deep, K. P. Singh, M. L. Kansal and C. Mohan, A real coded genetic algorithm for solving integer and mixed integer optimization problems, Mathematics and Computation, 212 (2009), 505-518.       
5 R. Fletcher and S. Leyffer, Nonlinear programming without a penalty function, Mathematical Programming, 91 (2002), 239-269.       
6 Genetic Algorithm and Direct Search Toolbox, MATLAB.
7 A. Hedar and M. Fukushima, Minimizing multimodal functions by simplex coding genetic algorithm, Optimization Methods and Software, 18 (2003), 265-282.       
8 A. Hedar and M. Fukuhima, Derivative-Free filter simulated annealing method for constrained continuous global optimization problems, Journal of Global Optimization, 35 (2006), 521-549.       
9 A. Hedar and M. Fukuhima, Evolution strategies learned with automatic termination criteria, Proceedings of SCIS & ISIS 2006, Tokyo, Japan, September 20-24, 2006.
10 A. Hedar, B. T. Ong and M. Fukushima, Genetic algorithms with automatic accelerated termination, Technical Report 2007-002, Department of Applied Mathematics and Physics, Kyoto University (January 2007).
11 F. Herrera, M. Lozano and J. L. Verdegay, Tackling real-coded genetic algorithms: Operators and tools for behavioural analysis, Artificial Intelligence Review, 12 (1998), 265-319.
12 R. Hooke and T. A. Jeeves, Direct search solution of numerical and statistical problems, J. ACM, 8 (1961), 212-229.
13 Z. Hua and F. Huang, An effective genetic algorithm approach to large scale mixed integer programming problems, Applied Mathematics and Computation, 174 (2006), 897-909.
14 Y. C. Lin and K. S. Hwang, A mixed-coding scheme of evolutionary algorithms to solve mixed-integer nonlinear programming problems, Computers and Mathematics with Applications, 47 (2004), 1295-1307.       
15 A. K. Maiti, A. K. Bhunia and M. Maiti, An application of real-coded genetic algorithm (RCGA) for mixed integer non-linear programming in two stage multi-item inventory model with discount policy, Applied Mathematics and Computation, 183 (2006), 903-915.       
16 M. Schlutera, J. Egeab and J. Bangab, Extended ant colony optimization for non-convex mixed integer nonlinear programming. Computers and Operations Research, 36 (2009), 2217-2229.
17 V. K. Srivastava and A. Fahim, An optimization method for solving mixed discrete-continuous programming problems, Computers and Mathematics with Applications, 53 (2007), 1481-1491.       
18 T. Yokota, M. Gen and Y. X. Li, Genetic algorithm for nonlinear mixed integer programming problems and its application, Computers and Industrial Engineering, 30 (1996), 905-917.
19 V. Torczon, On the convergence of pattern search algorithms, SIAM J. Optim., 7 (1997), 1-25.       

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