Abstract: Whereas interior point methods provide polynomial-time linear programming algorithms, the running time bounds depend on bit-complexity or condition measures that can be unbounded in the ...

SoPlex is an optimization package for solving linear programming problems (LPs) based on an advanced implementation of the primal and dual revised simplex algorithm. It provides special support for ...

The original version of this story appeared in Quanta Magazine. In 1939, upon arriving late to his statistics course at UC Berkeley, George Dantzig—a first-year graduate student—copied two problems ...

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better. In 1939, upon arriving late to his statistics course at the ...

In 1939, George Dantzig was pursuing a doctoral programme in mathematics at the University of California, Berkeley, where he studied statistics under Jerzy Neyman. Of all his achievements, a ...

Crunching hard grains together leads to their rigidification, irrespective of how the system is prepared. While certain features of the resulting jammed materials—e.g. their contact force distribution ...

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