Strategies for optimization of multiple-response simulation models

This paper examines several procedures for optimizing simulation models having controllable input variables xi,i &equil; 1,...,n and yielding responses nj,j &equil; 1,...,m. This problem is often formulated as a constrained optimization problem, or it can be formulated in one of several multiple-objective formats, including goal programming. Whatever the mode of problem formulation, the optimization of multiple-response simulations can be approached through direct search methods, a sequence of first-order response-surface experiments, or by applying mathematical programming techniques to a set of second-order response surfaces.

[1]  William Ernest Biles,et al.  A gradient—regression search procedure for simulation experimentation , 1974, WSC '74.

[2]  Jack P. C. Kleijnen,et al.  Statistical Techniques in Simulation , 1977, IEEE Transactions on Systems, Man and Cybernetics.

[3]  Douglas C. Montgomery,et al.  Multiple response surface methods in computer simulation , 1977 .

[4]  G. Box,et al.  On the Experimental Attainment of Optimum Conditions , 1951 .

[5]  W. Biles A Response Surface Method for Experimental Optimization of Multi-Response Processes , 1975 .

[6]  F. David,et al.  Statistical Techniques in Simulation: Part I , 1975 .

[7]  G. Zoutendijk,et al.  Methods of Feasible Directions , 1962, The Mathematical Gazette.

[8]  J. B. Rosen The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints , 1960 .

[9]  Roger M. Y. Ho,et al.  Goal programming and extensions , 1976 .

[10]  J. Dyer Interactive Goal Programming , 1972 .

[11]  M. J. Box A New Method of Constrained Optimization and a Comparison With Other Methods , 1965, Comput. J..

[12]  J. S. Hunter,et al.  Multi-Factor Experimental Designs for Exploring Response Surfaces , 1957 .

[13]  R. E. Griffith,et al.  A Nonlinear Programming Technique for the Optimization of Continuous Processing Systems , 1961 .

[14]  Robert Hooke,et al.  `` Direct Search'' Solution of Numerical and Statistical Problems , 1961, JACM.

[15]  Samuel H. Brooks,et al.  Optimum Estimation of Gradient Direction in Steepest Ascent Experiments , 1961 .

[16]  W. R. Klingman,et al.  Nonlinear Programming with the Aid of a Multiple-Gradient Summation Technique , 1964, JACM.

[17]  N. Draper,et al.  Applied Regression Analysis , 1966 .

[18]  G. R. Hext,et al.  Sequential Application of Simplex Designs in Optimisation and Evolutionary Operation , 1962 .