Abstract
Traditional optimization models require the formulation of a single objective function. While many problems can be modeled in this form, many real situations involve not only multiple objectives but also multiple, conflicting objectives. In this paper a multiple objective goal structural optimization approach is presented using a nonlinear goal programming technique. To demonstrate the approach, the formulation and solution of some truss problems using nonlinear goal programming are presented.
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References
Schmit, L. A., “Structural Design by Systematic Synthesis,” Proceedings of the 2nd Conference on Electronic Computation, ASCE, New York, 1960, pp. 105–122.
Schniederjans, M. J. and Kwak, N. K., “ An Alternative Solution Method for Goal Programming: a Tutorial,” J. of Operational Research Society, Vol. 33, pp. 247–251, 1982.
Ignizio, J. P., “ Generalized Goal Programming: An Overview,” Computer and Operational Research, Vol. 10, No. 4, pp. 277–289, 1983.
Charnes, A. and Cooper, W. W., Management Models and the Industrial Applications of Linear Programming, Vols. 1 and 2, John Wiley and Sons, New York, 1961.
Ijiri, Y., Management Goals and Accounting for Control, Rand McNally, Chicago, 1965.
Jaaskelainen, V. “ Accounting and Mathematical Programming
Lee, S. M., Goal Programming for Decision Analysis, Auerback Publishers, Philadelphia, 1972.
Fisk, J. C., “A Goal Programming Model for Output Planning,” Decision Sciences, Vol. 10, No. 4, pp. 593–603, 1979.
Wilson, J. M., “The Handling of Goals in Marketing Problems,” Management Decision, Vol. 13, No. 3, pp. 175–180, 1975.
Kwak, N. K. and Schniederjans, M. J., “ A Goal Programming Model for Improved Transportation Problem Solutions,” Omega, Vol. 7, No. 4, pp. 367–370, 1979.
Ignizio, J. P., Linear Programming in Single and Multiple Objective Systems, 1982, Prentice-Hall, Inc., Englewood Cliffs, New Jersey.
Rao, S.S., “Multiobjective Optimization in Structural Design with Uncertain Parameters and Stochastic Processes,” AIAA J., Vol. 22, NO. 11, pp. 1670–1678, 1984.
Rao, S. S., “Multi-Objective Optimizations of Fuzzy Structural Systems,” Int. J. for Numerical Methods in Engineering, Vol. 24, pp. 1157–1171, 1987.
EI-Sayed, M. E., Ridgely, B. J., and Sandgren, E., “Nonlinear Structural Optimizations Using Linear Goal Programming,” Computers and Structures, Vol. 32, No. 1, pp. 69–73, 1989.
EI-Sayed, M. E. and Jang, T. S., “Large Scale Structural Optimizations Using with Linear Goal Programming,” Proceedings of the ASME Design Automation Conference, Chicago, 1990.
Ignizio, J. P., Elchak, T. L., and Yang, T., “Advances in Multicriteria Engineering Design,” U. S. Army Final Report, DASG 60–77-C-0078, 1979.
Powell, M. J. D., “ An Efficient Method for Finding the Minimum of a Function of Several Variables without Calculating Derivatives,” Computer J., Vol. 7, No. 4, pp. 155–162, 1964.
Vanderplaats, G. N., Numerical Optimization Techniques for Engineering Design: with Applications, McGraw-Hill, New York, 1984.
Haug, E. J. and Arora, J. S., Applied Optimal Design, John Wiley and Sons, New York, 1979.
Abadie, J. and Carpenter, J., “ The Generalization of the Wolfe Reduced Gradient Method to the Case of Nonlinear Constraints,” in Optimization, Fletcher,R.(ed), Academic Press, New York, pp. 37–47, 1969.
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© 1993 Springer Science+Business Media Dordrecht
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EI-Sayed, M.E.M., Jang, T.S. (1993). Large Scale Structural Optimization with Nonlinear Goal Programming. In: Rozvany, G.I.N. (eds) Optimization of Large Structural Systems. NATO ASI Series, vol 231. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9577-8_59
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DOI: https://doi.org/10.1007/978-94-010-9577-8_59
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