The Simplex Method - Terminology the simplex method : The method to solve the simplex problem. the optimal solution : The values or methodology of optimal solution slack variables : Functioning as a slack to find the variables in the equations. Simplex tableau : Table summary with variables including a slack the simplex formulation : Formulating the problem into the equations mathmatically. the set of equations : Can be a set of constraints in the context of given problem
Why a negative coefficient of variable means it is not optimal in Simplex method? Which means why we should make all coefficient non-negative(positive) for optimization of MAX linear programming problem? When we have the following MAX problem. MAX 3x + 5y This can be transformed to the Standard form: z - 3x - 5y As long as we have a negative coefficient in this standard form equation then there is still a way to increase 'z' value by increasing 'x', 'y' as well. However, when having positive one : z + 3x +5y then there is no way to increase 'z' value unless 'x' or 'y' has a negative value. Which is not available by the condition: S.T. x, y >0 Therefore, in order to find the optimum solution of MAX problem, we only need to make sure all coefficients are positive of Objective Function equation.
I spent 2 hours ...to know how to install NumPy python library in my computer. This post can help you to install NumPy quick and easy. I am sure. It takes only 15 minutes for NumPy installation. What is NumPy? Wiki will help me from here . Requirement: - Already Python (higher 2.7) programming tool installed in your computer. 1. Download Download NumPy package from: http://www.lfd.uci.edu/~gohlke/pythonlibs/#numpy My computer is 64bit platform having Python 2.7 version. So choose "...+mkl-cp27...amd64.." as below. 2. Run 'Command prompt' (cmd) and enter as below > python -m pip install "[Download Path]\numpy-1.10.4+mkl-cp27-cp27m-win_amd64.whl" You know where the downloaded file is. My case was "C:\...\download". 3. DONE!!! ======================================================================== But if you see the below print. Then it's also simple. Just enter the following command to upgrade your ...
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