The OPTLSO Procedure

References

  • Bowman, K. O. and Shenton, L. R. (1983), “Johnson’s System of Distributions,” in S. Kotz, N. L. Johnson, and C. B. Read, eds., Encyclopedia of Statistical Sciences, volume 4, 303–314, New York: John Wiley & Sons.

  • Coello Coello, C. A. and Cruz Cortes, N. (2005), “Solving Multiobjective Optimization Problems Using an Artificial Immune System,” Genetic Programming and Evolvable Machines, 6, 163–190.

  • Custódio, A. L., Madeira, J. F. A., Vaz, A. I. F., and Vicente, L. N. (2011), “Direct Multisearch for Multiobjective Optimization,” SIAM Journal on Optimization, 21, 1109–1140.

  • Floudas, C. A. and Pardalos, P. M. (1992), Recent Advances in Global Optimization, Princeton, NJ: Princeton University Press.

  • Goldberg, D. E. (1989), Genetic Algorithms in Search, Optimization and Machine Learning, Reading, MA: Addison-Wesley.

  • Gray, G. A. and Fowler, K. R. (2011), “The Effectiveness of Derivative-Free Hybrid Methods for Black-Box Optimization,” International Journal of Mathematical Modeling and Numerical Optimization, 2, 112–133.

  • Gray, G. A., Fowler, K. R., and Griffin, J. D. (2010), “Hybrid Optimization Schemes for Simulation-Based Problems,” Procedia Computer Science, 1, 1349–1357.

  • Gray, G. A. and Kolda, T. G. (2006), “Algorithm 856: APPSPACK 4.0: Asynchronous Parallel Pattern Search for Derivative-Free Optimization,” ACM Transactions on Mathematical Software, 32, 485–507.

  • Griffin, J. D., Fowler, K. R., Gray, G. A., and Hemker, T. (2011), “Derivative-Free Optimization via Evolutionary Algorithms Guiding Local Search (EAGLS) for MINLP,” Pacific Journal of Optimization, 7, 425–443.

  • Griffin, J. D. and Kolda, T. G. (2010a), “Asynchronous Parallel Hybrid Optimization Combining DIRECT and GSS,” Optimization Methods and Software, 25, 797–817.

  • Griffin, J. D. and Kolda, T. G. (2010b), “Nonlinearly Constrained Optimization Using Heuristic Penalty Methods and Asynchronous Parallel Generating Set Search,” Applied Mathematics Research Express, 2010, 36–62.

  • Griffin, J. D., Kolda, T. G., and Lewis, R. M. (2008), “Asynchronous Parallel Generating Set Search for Linearly Constrained Optimization,” SIAM Journal on Scientific Computing, 30, 1892–1924.

  • Haverly, C. A. (1978), “Studies of the Behavior of Recursion for the Pooling Problem,” SIGMAP Bulletin, Association for Computing Machinery, 25, 19–28.

  • Holland, J. H. (1975), Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence, Ann Arbor: University of Michigan Press.

  • Hough, P. D., Kolda, T. G., and Patrick, H. A. (2000), Usage Manual for APPSPACK 2.0, Technical Report SAND2000-8843, Sandia National Laboratories, Albuquerque, NM and Livermore, CA.

  • Huband, S., Hingston, P., Barone, L., and While, L. (2006), “A Review of Multiobjective Test Problems and a Scalable Test Problem Toolkit,” IEEE Transactions on Evolutionary Computation, 10, 477–506.

  • Jones, D. R., Perttunen, C. D., and Stuckman, B. E. (1993), “Lipschitzian Optimization without the Lipschitz Constant,” Journal of Optimization Theory and Applications, 79, 157–181.

  • Kolda, T. G., Lewis, R. M., and Torczon, V. (2003), “Optimization by Direct Search: New Perspectives on Some Classical and Modern Methods,” SIAM Review, 45, 385–482.

  • Liebman, J., Lasdon, L., Schrage, L., and Waren, A. (1986), Modeling and Optimization with GINO, Redwood City, CA: Scientific Press.

  • Michalewicz, Z. (1996), Genetic Algorithms + Data Structures = Evolution Programs, New York: Springer-Verlag.

  • Moré, J. J., Garbow, B. S., and Hillstrom, K. E. (1981), “Testing Unconstrained Optimization Software,” ACM Transactions on Mathematical Software, 7, 17–41.

  • Plantenga, T. (2009), HOPSPACK 2.0 User Manual (v 2.0.2), Technical report, Sandia National Laboratories.

  • Schütze, O., Esquivel, X., Lara, A., and Coello Coello, C. A. (2012), “Using the Averaged Hausdorff Distance as a Performance Measure in Evolutionary Multiobjective Optimization,” IEEE Transactions on Evolutionary Computation, 16, 504–522.

  • Taddy, M. A., Lee, H. K. H., Gray, G. A., and Griffin, J. D. (2009), “Bayesian Guided Pattern Search for Robust Local Optimization,” Technometrics, 51, 389–401.

  • Van Veldhuizen, D. A. (1999), Multiobjective Evolutionary Algorithms: Classifications, Analyses, and New Innovations, Ph.D. diss., Air Force Institute of Technology.