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- W847667037 abstract "Without using any symbols at all, one can give a precise statement of a simplex problem by saying that it is to find the maximum, if it exists, of a linear function of a finite number of real variables on a convex plane polyhedron of the same variables. The simplex method of solving the problem is then to find a vertex of the polyhedron and then to proceed along edges from one vertex to the next, in a manner that the linear function increases, until the maximum is reached. When the basic vertex is non-degenerate, all of the non-basic constraints have non-zero constants. The simplex strategy then is to increase by one the number of positive constants until they are all positive and then to increase the constant in the objective function. The case of a degenerate vertex occurs when there are zero constants." @default.
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- W847667037 date "2020-09-23" @default.
- W847667037 modified "2023-09-23" @default.
- W847667037 title "New Results in the Simplex Method in Linear Programming" @default.
- W847667037 cites W2276336683 @default.
- W847667037 doi "https://doi.org/10.1201/9781003067597-13" @default.
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