This chapter presents the Bounded Dual Simplex Algorithm, which is one of the most frequently used linear programming algorithms for solving real-world problems. A solution structure of the bounded dual simplex method (used ...

This work presents an application of the Simplex Method for solving an optimal planning problem for cancer treatment by radiotherapy. The Simplex Method, proposed by George Dantzig, is a matrix procedure walks along extreme ...

The modified simplex algorithm proposed by Nelder and Mead has been used to optimize the separation by temperature programmed capillary GC, of volatile compounds present in alcoholic beverages. An adequate objective function, ...

Experimental optimization with scarce and noisy process data is a key issue in laboratory automation for faster chemical process research and development, real-time process optimization, and the ability to embed a learning ...

A computer program for process optimization influenced by continuous and qualitative variables was developed from the simplex method. Software was validated through case studies found in literature by predictive models ...

This work aims to present the Internal Points Methods and to compare the Simplex Method, when applied in the resolution of problems related to the optimal concentration of radiation in the treatment of cancer through ...