Numerical Optimization of Sand Casting Parameters Using the Dantzig’s Simplex Method


This study adopts the Dantzig’s Simplex method to investigate optimization of sand casting parameters for optimum service performance. Some process variables and mechanical properties were adapted into the Simplex method. Aluminium alloy samples were cast, machined and subjected to a series of mechanical tests. From the body of data collected, linear functions and constraint equations were formulated and employed in the Dantzig’s Simplex method for optimization of process parameters. The results showed that the Simplex method can be adapted for studying performance opti- mization of castings.

Share and Cite:

J. Oji, S. Datau, K. Akinluwade, A. Taiwo, D. Isadare, S. Pamtoks and A. Adetunji, "Numerical Optimization of Sand Casting Parameters Using the Dantzig’s Simplex Method," Journal of Minerals and Materials Characterization and Engineering, Vol. 1 No. 5, 2013, pp. 250-256. doi: 10.4236/jmmce.2013.15039.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] M. á. Carreira-Perpinán, “Simplex Method,” From MathWorld—A Wolfram Web Resource, Created by Eric W. Weisstein.
[2] A. Forsgren, P. E. Gill and M. H. Wright, “Interior Methods for Nonlinear Optimization,” SIAM Reviews, Vol. 44, No. 4, 2002, pp. 525-597. doi:10.1137/S0036144502414942
[3] M. á. Carreira-Perpinán, “Simplex Method,” 2011.
[4] O. E. Olorunniwo, P. O. Atanda and K. J. Akinluwade, “Effects of Variation of Some Process Variables on Recrystallization Rate of Aluminium Alloy (6063),” Journal of Minerals and Materials Characterization and Engineering, Vol. 8, No. 1, 2009, pp. 1-14.
[5] J. Campbell, “The Ten Castings Rules Guidelines for the Reliable Production of Reliable Castings: A Draft Process Specification,” Materials Solutions Conference on Aluminum Casting Technology Chicago, Chicago, 1998, pp. 3-19.
[6] J. K. Akinluwade and M. O. Adeoye, “Comparative Evaluation of Rotary and Crucible Melting Furnaces Efficiencies,” NSE Technical Transaction, Vol. 42, No. 3, 2007, pp. 30-43.
[7] C. Elster and A. Neumaier, “A Grid Algorithm for Bound Constrained Optimization of Noisy Functions,” IMA Journal of Numerical Analysis, Vol. 15, No. 4, 1995, pp. 585-608. doi:10.1093/imanum/15.4.585
[8] M. J. D. Powell, “Direct Search Algorithms for Optimization Calculations,” Acta Numerica, Vol. 7, No. 3, 1998, pp. 287-336. doi:10.1017/S0962492900002841
[9] S. Mehrotra, “On the Implementation of a Primal-Dual Interior Point Method,” SIAM Journal of Optimization, Vol. 2, No. 4, 1992, pp. 575-601. doi:10.1137/0802028
[10] W. Spendley, G. R. Hext and F. R. Himsworth, “Sequential Application of Simplex Designs in Optimization and Evolutionary Operation,” Technometrics, Vol. 4, No. 4, 1962, pp. 441-461.

Copyright © 2021 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.