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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

has been cited by the following article:

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

  AUTHORS: John Ogheneortega Oji, Simon Godenaan Datau, Kunle Joseph Akinluwade, Adeyinka Taofeek Taiwo, Dayo Adeyemi Isadare, Sunday Hendrix Pamtoks, Adelana Rasaki Adetunji

  KEYWORDS: Sand Casting; Dantzig’s Simplex Method; Optimization; Constraint Equations; Aluminium Alloy;

  JOURNAL NAME: Journal of Minerals and Materials Characterization and Engineering, Vol.1 No.5, September 13, 2013

  ABSTRACT: 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.