By G. Arienti, A. Colonelli Daneri, M. Auslender, E. J. Beltrami, L. F. Buchanan, A. R. Stubberud, Philippe A. Clavier, R. Cosaert, E. Gottzein, A. De Maio, G. Guardabassi, A. Locatelli, S. Rinaldi, Mark Enns, H. O. Fattorini, Jean Fave, F. Caroti Ghelli, D.
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Additional resources for Computing Methods in Optimization Problems: Papers presented at the 2nd International Conference on Computing Methods in Optimization Problems, San Remo, Italy, September 9–13, 1968
And J. Sandee, "Quantitative determination of an optimal economic policy," Econometrica, Vol. 27 (January, 1959) pp 1-13. - 43 - ECONOMIC OPTIMIZATION BY SIMULATION: THE CONFIDENCE LEVEL APPROACH Phil ippe A. Clavier ECONOMATICS Pasadena, California SUMMARY Deterministic Optimization schemes are of little value to help decision-making in business. One must cope with statistics which show neither mathematical functional forms nor extend over periods of time comparable to the characteristic time periods over which business projections can be averaged.
As we do so, fr is weighted more and more in favor of f and under suitable hypothesis FiaccoMcCormick show that fr tends to the constrained minimum in the limit as r ~ O. The virtue of their method is that the constraints are automatically satisfied at each iterate since it is an "inside" method. MOst of the above methods require that an optimumaj be found at each downhill step. This is a one dimensional search problem and we will have little more to say about it except to refer to the reports by Johnson and MYers (23) and Flanagan, Vitale, and Mendelsohn (24).
Minimizing a Function without Calculating Derivatives. Computer J. 10 (1967), 293-296. (11) Goldfarb, D. and L. Lapidus: A Conjugate Gradient Method for ~onlinear Programming Problems with Linear Constraints. Indust. & Eng. Chem. Fund. 7 (1968), 142-151. : Extension of Davidon's Variable Metric Method to Maximization under Linear Inequality and Equality Constraints. To appear in SIAM J. 1968. : The Gradient Projection Method for Nonlinear Programming, Part I: Linear Constraints. SIAM J. 8 - 29 - (1960), 181-217.