Hybridizing harmony search algorithm with sequential quadratic programming for engineering optimization problems

Houck, 1996, Comparison of genetic algorithms, random start, and two-opt switching for solving large location–allocation problems, Comput. Operat. Res., 23, 587, 10.1016/0305-0548(95)00063-1 Houck, 1997, Empirical investigation of the benefits of partial Lamarckianism, Evol. Comput., 5, 31, 10.1162/evco.1997.5.1.31 Michalewicz, 1994 Joines, 2002, Utilizing hybrid genetic algorithms P. Moscato, On evolution, search, optimization, genetic algorithms and martial arts: towards memetic algorithms, California Institute of Technology, Pasadena, Technical Report 826, 1989. Moscato, 1999, A gentle introduction to memetic algorithms H. Bersini, B. Renders, Hybridizing genetic algorithms with hill-climbing methods for global optimization: two possible ways, in: Proceedings of the IEEE International Symposium Evolutionary Computation, Orlando, FL, 1994. Merz, 1999, A principal components approach to combining regression estimates, Mach. Learn., 36, 9, 10.1023/A:1007507221352 He, 2000, Solving equations by hybrid evolutionary computation techniques, IEEE Trans. Evol. Comput., 4, 295, 10.1109/4235.873239 2002 Mahdavi, 2007, An improved harmony search algorithm for solving optimization problems, Appl. Math. Comput., 188, 1567, 10.1016/j.amc.2006.11.033 Geem, 2001, A new heuristic optimization algorithm: harmony search, Simulation, 76, 60, 10.1177/003754970107600201 Geem, 2005, Harmony search for generalized orienteering problem: best touring in China, Springer Lecture Notes Comput. Sci., 3412, 741, 10.1007/11539902_91 Kim, 2001, Parameter estimation of the nonlinear muskingum model using harmony search, J. Am. Water Resour. Assoc., 37, 1131, 10.1111/j.1752-1688.2001.tb03627.x Geem, 2002, Harmony search optimization: application to pipe network design, Int. J. Model. Simulat., 22, 125, 10.1080/02286203.2002.11442233 Geem, 2006, Optimal cost design of water distribution networks using harmony search, Engrg. Optim., 38, 259, 10.1080/03052150500467430 Lee, 2004, A new structural optimization method based on the harmony search algorithm, Comput. Struct., 82, 781, 10.1016/j.compstruc.2004.01.002 Lee, 2004, A new meta-heuristic algorithm for continues engineering optimization: harmony search theory and practice, Comput. Methods Appl. Mech. Engrg., 194, 3902, 10.1016/j.cma.2004.09.007 M.G.H. Omran, M. Mahdavi, Global-best harmony search, Appl. Math. Comput. (2007), doi:10.1016/j.amc.2007.09.004. Z.W. Geem, Novel derivative of harmony search algorithm for discrete design variables, Appl. Math. Comput., doi:10.1016/j.amc.2007.09.049. P.T. Boggs, J.W. Tolle, Sequential quadratic programming, Acta Numer. 4 (1995) 1–52. Spellucci, 1998, An SQP method for general nonlinear programs using only equality constrained subproblems, Math. Program., 82, 413, 10.1007/BF01580078 Himmelblau, 1972 Gen, 1997 Coello, 2000, Use of a self-adaptive penalty approach for engineering optimization problems, Comput. Ind., 41, 113, 10.1016/S0166-3615(99)00046-9 Homaifar, 1994, Constrained optimization via genetic algorithms, Simulation, 62, 242, 10.1177/003754979406200405 Y. Shi, R.C. Eberhart, A modified particle swarm optimizer, in: Proceedings of the International Congress on Evolutionary Computation 1998, IEEE Service Center, Piscataway, NJ, 1998. Deb, 2000, An efficient constraint handling method for genetic algorithms, Comput. Methods Appl. Mech. Engrg., 186, 311, 10.1016/S0045-7825(99)00389-8 Michalewicz, 1995, Genetic algorithms, numerical optimization, and constraints Reklaitis, 1983 Siddall, 1972 Ragsdell, 1976, Optimal design of a class of welded structures using geometric programming, ASME J. Engrg. Ind. Ser. B, 98, 1021, 10.1115/1.3438995 Deb, 1991, Optimal design of a welded beam via genetic algorithms, AIAA J., 29, 2013, 10.2514/3.10834 Coello, 2000, Constraint-handling using an evolutionary multiobjective optimization technique, Civil Engrg. Environ. Syst., 17, 319, 10.1080/02630250008970288 L.A. Schmit, J.H. Miura, Approximation Concepts for Efficient Structural Synthesis, NASA CR-2552, NASA, Washington, 1976. Venkayya, 1971, Design of optimum structures, Comput. Struct., 1, 265, 10.1016/0045-7949(71)90013-7 P. Rizzi, Optimization of multi-constrained structures based on optimality criteria, in: Conference on AIAA/ASME/SAE 17th Structures, Structural Dynamics, and Materials, King of Drussia, Pennsylvania, 1976. Khan, 1979, An optimality criterion method for large-scale structures, AIAA J., 17, 753, 10.2514/3.61214