HiGHS is a high performance serial and parallel solver for large scale sparse linear optimization problems of the form $$ \min \quad \dfrac{1}{2}x^TQx + c^Tx \qquad ...

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 ...

Abstract: This paper presents a descent algorithm for the continuous convex piecewise linear network flow problem (CCPWLNFP). The CCPWLNFP can be reformulated as a linear programming problem and ...

Yet beneath all these practical advances lay a profound theoretical question that had puzzled mathematicians for decades: Could linear programming problems actually be solved efficiently in the worst ...

In the evolving landscape of decision intelligence, few mathematical breakthroughs have had as profound an impact as linear programming. At the heart of this revolutionary approach stands a brilliant ...

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 ...

This repository contains a user interface for a linear programming problem which is solved with the Simplex Method implemented in C.

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The problem of tensor completion has applications in healthcare, computer vision, and other domains. However, past approaches to tensor completion have faced a tension in that they either have ...