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 ...

从你网购的包裹如何以最快速度送达，到航空公司如何规划数千架飞机的航线以节省燃料，背后都有一个近 80 岁「高龄」的数学方法在默默工作。它被誉为优化领域的基石，高效又令人信赖。然而，一个奇怪的事实是：几十年来，没有人能从理论上完美解释它 ...

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 deals with linear programming techniques and their application in optimizing lecture rooms in an institution. This linear programming formulated based on the available secondary ...

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 ...

Abstract: Optimization algorithms are becoming increasingly more important in many areas, such as finance and engineering. Typically, real problems involve several hundreds of variables, and are ...

Since its creation more than two decades ago by Daniel Spielman (above) and Shang-hua Teng, smoothed analysis has been used to analyze performance of algorithms other than the simplex method, ...