Optimization References

The references listed in this section provide more detailed information on the algorithms used in the Optimization techniques.

Ashley, H., “On Making Things the Best – Aeronautical uses of Optimization,” Wright brothers lectureship in aeronautics, Journal of Aircraft, vol. 19, no. 1, 1982.

Deb, K., Multi-Objective Optimization using Evolutionary Algorithms, Chichester, UK: Wiley, 2001.

Deb, K., S. Agrawal, A. Pratab, and T. Meyarivan, “A Fast Elitist Non-Dominated Sorting Genetic Algorithm for Multi-Objective Optimization: NSGA-II,” In KanGAL report 200001, Indian Institute of Technology, Kanpur, India, 2000.

Egorov, I. N., “Indirect Optimization Methods on the Basis of Self-Organization.” Optimization Techniques and Applications (ICOTA 1998), vol. 2, pp. 683–691, 1998.

Fonseca, C. M., and P. J. Fleming, “Genetic Algorithms for Multiobjective Optimization: Formulation, Discussion and Generalization,” In Proceedings of the 5th International Conference on Genetic Algorithms, pp. 416, vol. 423, 1993.

Goldberg, D. E., Genetic Algorithms in Search, Optimization and Machine Learning, Addison-Wesly, 1989.

Hadenfeld, M., Anwendung von Evolutionsstrategien fuer die Optimierungsaufgaben beim Vorentwurf von Flugzeugen, Braunschweig /Bremen, 1993.

Hans, S.P., (1974): Numerische Optimierung von Computer-Modellen (PhD thesis). Reprinted by Birkhauser (1977).

Han, S. P., “A Globally Convergent Method for Nonlinear Programming,” Journal of Optimization Theory and Applications, vol. 22, pp. 297–305, 1977.

Han, S. P., “Superlinearly Convergent Variable Metric Algorithms for General Nonlinear Programming Problems,” Mathematical Programming, vol. 11, pp. 263–282, 1976.

Hock W., and K. Schittkowski, “Test Examples for Nonlinear Programming Codes,” Lecture Notes in Economics and Mathematical Systems, vol. 187, Springer, 1981.

Ingber, L. “Adaptive Simulated Annealing (ASA),” [ftp.alumni.caltech.edu:/pub/ingber/ASA.tar.Z], Lester Ingber Research, Mclean, VA, 1993.

Kennedy, J., and R. C. Eberhart, “Particle Swarm Optimization,” Proceedings of the Institute of Electrical and Electronics Engineers International Conference on Neural Networks, vol. IV, pp. 1942–1948, IEEE Press, Piscataway, NJ, 1995.

Nelder, J. A., and R. Mead, “Downhill Simplex Method in Multidimensions,” Computer Journal, vol. 7, pp. 308–313, 1965.

Pincus, J., “Transistor Sizing,” UCB//CSD-86-285, 102 pages, February 1986.

Powell, M. J. D., “A Fast Algorithm for Nonlinearly Constrained Optimization Calculations,” in: Numerical Analysis, G.A. Watson ed., Lecture Notes in Mathematics, vol. 630, Springer, 1978a.

Powell, M. J. D., “The Convergence of Variable Metric Methods for Nonlinearly Constrained Optimization Calculations,” in: Nonlinear Programming 3, O.L. Mangasarian, R.R. Meyer, S.M. Robinson eds., Academic Press, 1978b.

Sandgren, E., “The Utility of Nonlinear Programming Algorithms,” Ph.D. thesis, Purdue University, December 1977.

Schaffer, J. D., “Multiple Objective Optimization with Vector Evaluated Genetic Algorithms,” In Proceedings of 1st International Conference on Genetic Algorithms and Their Applications, vol. 100, p. 93, 1985.

Schittkowski, K., “EASY-FIT: Parameter Estimation in Dynamic Systems,” User’s Guide, Mathematical Institute, University of Bayreuth, 1996.

Schittkowski K., “Easy-to-Use Optimization Programs with Automatic Differentiation,” Report, Mathematical Institute, University of Bayreuth, 1994.

Schittkowski K., “More Test Examples for Nonlinear Programming,” Lecture Notes in Economics and Mathematical Systems, vol. 182, Springer, 1987.

Schittkowski K., “NLPQL: A FORTRAN Subroutine Solving Constrained Nonlinear Programming Problems,” Annals of Operations Research, vol. 5, pp. 485–500, 1985/1986.

Schittkowski K., “Nonlinear Programming Codes,” Lecture Notes in Economics and Mathematical Systems, vol. 183, Springer, 1980.

Schittkowski K, “On the Convergence of a Sequential Quadratic Programming Method with an Augmented Lagrangian Line Search Function,” Optimization, vol. 14, pp. 197–216, 1983.

Schittkowski K, “Solving Nonlinear Least Squares Problems by a General Purpose SQP-Method, in: Trends in Mathematical Optimization,” K.-H. Hoffmann, J.-B. Hiriart-Urruty, C. Lemarechal, J. Zowe eds., International Series of Numerical Mathematics, vol. 84, Birkhaeuser, 1988.

Schittkowski K., “Solving Nonlinear Programming Problems with Very Many Constraints,” Report No. 294, DFG-Schwerpunktprogramm ‘Anwendungsbezogene Optimierung und Steuerung’, Mathematical Institute, University of Bayreuth, 1991.

Schwefel, H. P., “Evolutionsstrategie und Numerische Optimierung,” Ph.D. thesis, Verfahrenstechnik TUBerlin, 1975.

Shi, Y., and R. C. Eberhart, “A Modified Particle Swarm Optimizer,” Proceedings of the Institute of Electrical and Electronics Engineers International Conference on Evolutionary Computation, pp. 69–73, IEEE Press, Piscataway, NJ, 1998.

Srinivas, N., and K. Deb, “Multiobjective Optimization Using Nondominated Sorting in Genetic Algorithms,” Evolutionary Computation, vol. 2, no. 3, p. 221, Fall 1994.

Zitzler, E., and L. Thiele, “Multiobjective Evolutionary Algorithms: A Comparative Case Study and the Strength Pareto Approach,” IEEE Transactions on Evolutionary Computation, vol. 3, no. 4, pp. 257, 1999.

Zitzler, E., M. Laumanns, and L. Thiele, “SPEA2: Improving the Performance of the Strength Pareto Evolutionary Algorithm,” In Technical Report 103, Computer Engineering and Communication Networks Lab (TIK), Swiss Federal Institute of Technology (ETH) Zurich, 2001.