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Constrained sequential-block search in simulation experimentation
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Source Winter Simulation Conference archive
Proceedings of the 6th conference on Winter simulation table of contents
San Francisco, CA
Pages: 227 - 241  
Year of Publication: 1973
Author
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SIGSIM: ACM Special Interest Group on Simulation and Modeling
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 8,   Downloads (12 Months): 13,   Citation Count: 1
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ABSTRACT

This paper describes the application of sequential-block search techniques to simulation experimentation with constrained systems. Two basically different approaches are examined. One approach combines designed experiments, multiple regression, and mathematical optimization to predict a constrained optimum solution, which is then checked by further experimentation in the region of the predicted solution. A second approach employs a sequential optimum seeking-technique, such as gradient search or sequential simplex search, modified to accommodate constraints. These techniques are illustrated with a simple inventory system modeled with the GASP-II simulation language. A comparison of the effectiveness of these approaches is presented.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
Beveridge, G.S., and R.S. Schechter, Optimization: Theory and Practice, McGraw-Hill, New York (1970).
 
2
Biles, W.E., "An Accelerated Sequential Simplex Search Technique," (in review) AIIE Transactions.
 
3
Box, G.E.P., and K.B. Wilson, "On the Experimental Attainment of Optimum Conditions," Journal of the Royal Statistical Association, Series B, 13, (1951).
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5
Draper, N R, and H. Smith, Applied Regression Analysis, John Wiley, New York (1966).
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7
Hunter, J S, and T H Naylor, "Experimental Designs for Computer Simulation Experiments," Management Science, 16, 7 (1970).
 
8
"Multiple Linear Regression," IBM Scientific Subroutine Package, International Business Machines, New York.
 
9
 
10
Montgomery, D.C., and D.M. Evans, "Second Order Response Surface Designs in Digital Simulation," 41st National ORSA Meeting, New Orleans (1972).
 
11
Moore, C.F., C. L. Smith, and P. W. Murrill, "Multidimensional Optimization Using Pattern Search," IBM Share Library, LSU PATE SDA 3559 (1969).
 
12
Myers, R.L., Response Surface Methodology, Allyn and Bacon, Boston, Mass. (1971).
 
13
Pritsker, A.A.B., and P. J. Kiviat, Simulation with GASP-II, Prentice -Hall, Englewood Cliffs, N.J. (1969).
 
14
Schmidt, J. W., and R. E. Taylor, Simulation and Analysis of Industrial Systems, Irwin, Homewood, Illinois (1970).
 
15
Spendley, W., G.R. Hext, and F. R. Himsworth, "Sequential Application of Simplex Designs in Optimization and Evolutionary Operations," Technometrics, 4 (1962).