732 Modern Methods of Optimization
13.23 A. K. Dhingra and S. S. Rao, A neural network based approach to mechanical design
optimization,Engineering Optimization, Vol. 20, pp. 187–203, 1992.
13.24 L. Berke and P. Hajela, Applications of artificial neural nets in structural mechanics,
Structural Optimization, Vol. 4, pp. 90–98, 1992.
13.25 S. S. Rao, Multiobjective optimization of fuzzy structural systems,International Journal
for Numerical Methods in Engineering, Vol. 24, pp. 1157–1171, 1987.
13.26 S. S. Rao, K. Sundararaju, B. G. Prakash, and C. Balakrishna, A fuzzy goal
programming approach for structural optimization, AIAA Journal, Vol. 30, No. 5,
pp. 1425–1432, 1992.
13.27 A. K. Dhingra, S. S. Rao, and V. Kumar, Nonlinear membership functions in the
fuzzy optimization of mechanical and structural systems,AIAA Journal, Vol. 30, No. 1,
pp. 251–260, 1992.
13.28 A. K. Dhingra and S. S. Rao, An integrated kinematic–kinetostatic optimal design of
planar mechanisms using fuzzy theories,ASME Journal of Mechanical Design, Vol. 113,
pp. 306–311, 1991.
13.29 R. J. Balling and S. A. May, Large-scale discrete structural optimization: simulated
annealing, branch-and-bound, other techniques,Proceedings of the AIAA/ASME/ASCE/
AHS/ASC 32nd Structures, Structural Dynamics, and Materials Conference, Long
Beach, CA, 1990.
13.30 The Rand Corporation,A Million Random Digits with 100,000 Normal Deviates, The
Free Press, Glencoe, IL, 1955.
13.31 A. Colorni, M. Dorigo, and V. Maniezzo, Distributed optimization by ant colonies,
inProceedings of the First European Conference on Artificial Life, F. J. Varela and
P. Bourgine, Eds., MIT Press, Cambridge, MA, pp. 134–142, 1992.
13.32 M. Dorigo, V. Maniezzo, and A. Colorni, The ant system optimization by a colony
of cooperating agents,IEEE Transactions on Systems, Man, and Cybernetics—Part B,
Vol. 26, No. 1, pp. 29–41, 1996.
13.33 J. Kennedy and R. C. Eberhart,Swarm Intelligence, Morgan Kaufmann, San Francisco,
2001.
13.34 J. Kennedy and R. C. Eberhart, Particle swarm optimization,Proceedings of the 1995
IEEE International Conference on Neural Networks, IEEE Service Center, Piscataway,
NJ, 1995.
13.35 J-L. Liu and J-Horng Lin, Evolutionary computation of unconstrained and constrained
problems using a novel momentum-type particle swarm optimization,Engineering Opti-
mization, Vol. 39, No. 3, pp. 287–305, 2007.
13.36 Y. Shi and R. C. Eberhart, Parameter selection in particle swarm optimization,Pro-
ceedings of the Seventh Annual Conference on Evolutionary Programming, V. W. Porto,
N. Saravanan, D. Waagen, and A. Eibe, Eds., Springer-Verlag, pp. 591–600, Berlin,
Germany, 1998.
13.37 N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller, and E. Teller, Equation of
state calculations by fast computing machines,Journal of Chemical Physics, Vol. 21,
No. 6, pp. 1087–1092, 1953.
Review Questions
13.1 Define the following terms:
(a)Fuzzy parameter
(b)Annealing