This paper presents three algorithms for solving linear programming problems in which some or all of the objective function coefficients are specified in terms of intervals. Which algorithm is ...

Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear ...

George B. Dantzig, the mathematician who invented the field of linear programming, which revolutionized the way government and private enterprise planned, scheduled and generally conducted their ...

SIAM Journal on Numerical Analysis, Vol. 13, No. 1 (Mar., 1976), pp. 145-154 (10 pages) A numerically stable form of an algorithm that is closely related to the work of Gill and Murray [5] and Conn [3 ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...

Sorting. It’s a classic problem that’s been studied for decades, and it’s a great first step towards “thinking algorithmically.” Over the years, a handful of sorting algorithms have emerged, each ...