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This linear programming equation is solved using the linear program (LP) solver GLPSOL which uses the simplex method [ 27].
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Two mathematicians conducting research at Stanford already have applied the Khachiyan method to develop a program for a pocket calculator, which has solved problems that would not have been possible with a pocket calculator using the simplex method.
In the past, "traveling salesmen" problems, including the efficient scheduling of airline crews or hospital nursing staffs, have been solved on computers using the "simplex method" invented by George B. Dantzig of Stanford University.
An appropriate design of experiments was used and an optimal solution was found using the simplex method.
The optimized parameters obtained via the simulated annealing algorithm are compared to those obtained using the simplex method and, for the electrolyte solutions, a gradient-based quasi-Newton method.
The spiking neuron model used in this work is a simplified form of the well-known generalized Integrate-and-Fire neuron model, which can be trained using the Simplex method.
We chose to use the simplex method of [15], since it was already available in Matlab, via the "fminsearch" function.
Data are fitted using a nonlinear least squares method and the square error is minimized using the simplex method (Nelder and Mead 1965).
The resulting optimum ln u), position shift, and length correction values can then be used as initial values for further optimization using the "Simplex method".
Moreover, we formulate the linear programming problem to find the aggregated rate of all users and solve it using the Simplex method.
Fig. 6 Examples of display in UDECON on essential information and parameters related to deconvolution in (a) original measurement data, (b) deconvolved data using the "Grid search" optimization method, and (c) deconvolved data using the "Simplex method".
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