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Filterbased genetic algorithm for mixed variable programming
1.  Dept. of Computer Science, Faculty of Computers and Information, Assiut University, Assiut 71526, Egypt 
2.  Dept. of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt 
References:
[1] 
C. Audet and J. E. Dennis, Jr., Analysis of generalized pattern searches, SIAM Journal on Optimization, 13(3) (2003), 889903. doi: 10.1137/S1052623400378742. 
[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), 101111. 
[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), 505518. 
[5] 
R. Fletcher and S. Leyffer, Nonlinear programming without a penalty function, Mathematical Programming, 91 (2002), 239269. doi: 10.1007/s101070100244. 
[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), 265282. 
[8] 
A. Hedar and M. Fukuhima, DerivativeFree filter simulated annealing method for constrained continuous global optimization problems, Journal of Global Optimization, 35 (2006), 521549. doi: 10.1007/s108980053693z. 
[9] 
A. Hedar and M. Fukuhima, Evolution strategies learned with automatic termination criteria, Proceedings of SCIS & ISIS 2006, Tokyo, Japan, September 2024, 2006. 
[10] 
A. Hedar, B. T. Ong and M. Fukushima, Genetic algorithms with automatic accelerated termination, Technical Report 2007002, Department of Applied Mathematics and Physics, Kyoto University (January 2007). 
[11] 
F. Herrera, M. Lozano and J. L. Verdegay, Tackling realcoded genetic algorithms: Operators and tools for behavioural analysis, Artificial Intelligence Review, 12 (1998), 265319. doi: 10.1023/A:1006504901164. 
[12] 
R. Hooke and T. A. Jeeves, Direct search solution of numerical and statistical problems, J. ACM, 8 (1961), 212229. doi: 10.1145/321062.321069. 
[13] 
Z. Hua and F. Huang, An effective genetic algorithm approach to large scale mixed integer programming problems, Applied Mathematics and Computation, 174 (2006), 897909. doi: 10.1016/j.amc.2005.05.017. 
[14] 
Y. C. Lin and K. S. Hwang, A mixedcoding scheme of evolutionary algorithms to solve mixedinteger nonlinear programming problems, Computers and Mathematics with Applications, 47 (2004), 12951307. doi: 10.1016/S08981221(04)90123X. 
[15] 
A. K. Maiti, A. K. Bhunia and M. Maiti, An application of realcoded genetic algorithm (RCGA) for mixed integer nonlinear programming in two stage multiitem inventory model with discount policy, Applied Mathematics and Computation, 183 (2006), 903915. doi: 10.1016/j.amc.2006.05.141. 
[16] 
M. Schlutera, J. Egeab and J. Bangab, Extended ant colony optimization for nonconvex mixed integer nonlinear programming. Computers and Operations Research, 36 (2009), 22172229. doi: 10.1016/j.cor.2008.08.015. 
[17] 
V. K. Srivastava and A. Fahim, An optimization method for solving mixed discretecontinuous programming problems, Computers and Mathematics with Applications, 53 (2007), 14811491. doi: 10.1016/j.camwa.2007.01.006. 
[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), 905917. doi: 10.1016/03608352(96)000411. 
[19] 
V. Torczon, On the convergence of pattern search algorithms, SIAM J. Optim., 7 (1997), 125. doi: 10.1137/S1052623493250780. 
show all references
References:
[1] 
C. Audet and J. E. Dennis, Jr., Analysis of generalized pattern searches, SIAM Journal on Optimization, 13(3) (2003), 889903. doi: 10.1137/S1052623400378742. 
[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), 101111. 
[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), 505518. 
[5] 
R. Fletcher and S. Leyffer, Nonlinear programming without a penalty function, Mathematical Programming, 91 (2002), 239269. doi: 10.1007/s101070100244. 
[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), 265282. 
[8] 
A. Hedar and M. Fukuhima, DerivativeFree filter simulated annealing method for constrained continuous global optimization problems, Journal of Global Optimization, 35 (2006), 521549. doi: 10.1007/s108980053693z. 
[9] 
A. Hedar and M. Fukuhima, Evolution strategies learned with automatic termination criteria, Proceedings of SCIS & ISIS 2006, Tokyo, Japan, September 2024, 2006. 
[10] 
A. Hedar, B. T. Ong and M. Fukushima, Genetic algorithms with automatic accelerated termination, Technical Report 2007002, Department of Applied Mathematics and Physics, Kyoto University (January 2007). 
[11] 
F. Herrera, M. Lozano and J. L. Verdegay, Tackling realcoded genetic algorithms: Operators and tools for behavioural analysis, Artificial Intelligence Review, 12 (1998), 265319. doi: 10.1023/A:1006504901164. 
[12] 
R. Hooke and T. A. Jeeves, Direct search solution of numerical and statistical problems, J. ACM, 8 (1961), 212229. doi: 10.1145/321062.321069. 
[13] 
Z. Hua and F. Huang, An effective genetic algorithm approach to large scale mixed integer programming problems, Applied Mathematics and Computation, 174 (2006), 897909. doi: 10.1016/j.amc.2005.05.017. 
[14] 
Y. C. Lin and K. S. Hwang, A mixedcoding scheme of evolutionary algorithms to solve mixedinteger nonlinear programming problems, Computers and Mathematics with Applications, 47 (2004), 12951307. doi: 10.1016/S08981221(04)90123X. 
[15] 
A. K. Maiti, A. K. Bhunia and M. Maiti, An application of realcoded genetic algorithm (RCGA) for mixed integer nonlinear programming in two stage multiitem inventory model with discount policy, Applied Mathematics and Computation, 183 (2006), 903915. doi: 10.1016/j.amc.2006.05.141. 
[16] 
M. Schlutera, J. Egeab and J. Bangab, Extended ant colony optimization for nonconvex mixed integer nonlinear programming. Computers and Operations Research, 36 (2009), 22172229. doi: 10.1016/j.cor.2008.08.015. 
[17] 
V. K. Srivastava and A. Fahim, An optimization method for solving mixed discretecontinuous programming problems, Computers and Mathematics with Applications, 53 (2007), 14811491. doi: 10.1016/j.camwa.2007.01.006. 
[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), 905917. doi: 10.1016/03608352(96)000411. 
[19] 
V. Torczon, On the convergence of pattern search algorithms, SIAM J. Optim., 7 (1997), 125. doi: 10.1137/S1052623493250780. 
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