Titlebook: Computational Practice in Mathematical Programming; M. L. Balinski,Eli Hellerman Book 1975Latest edition Springer-Verlag Berlin Heidelberg

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The current algorithmic scope of mathematical programming systems,r nonlinear and whether the variables are continuous or discrete. The simplex method retains its central role in mathematical programming systems because in addition to being a device for changing the set of independent variables as appropriate it is now also an efficient method of exploiting sparse

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Pivot selection methods of the Devex LP code,ocess, the author introduces dynamic column weighting factors as a means of estimating gradients for the purpose of selecting a maximum gradient column. The consequent effect of this column selection on rounding error is observed. By allowing that a constraint may not be positioned so exactly as its

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Multiple pricing and suboptimization in dual linear programming algorithms,result in a greater improvement in the dual functional per major dual iteration, and dual suboptimization is shown to be effective in reducing both I/O and CPU time when the LP problem resides on auxiliary storage. Several industrial problems, chosen at random, were solved under limited core storage