A strongly polynomial algorithm for the uniform balanced network flow problem

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Strongly polynomial algorithm for generalized flow maximization

A strongly polynomial algorithm is given for the generalized flow maximization problem. It uses a new variant of the scaling technique, called continuous scaling. The main measure of progress is that within a strongly polynomial number of steps, an arc can be identified that must be tight in every dual optimal solution, and thus can be contracted. The full version is available on arXiv:1307.680...

A Strongly Polynomial Algorithm for the Inverse Shortest Arborescence Problem

In this paper an inverse problem of the weighted shortest arborescence problem is discussed. That is. given a directed graph G and a set of nonnegative costs on its arcs. we need to modify those costs as little as possible to ensure that T, a given (.I-arborescence of G, is the shortest one. It is found that only the cost of T needs modifying. An O(rz”) combinatorial algorithm is then proposed....

Strongly Polynomial Algorithms for the Unsplittable Flow Problem

The Balanced Wheat Supply Problem and a Heuristic Algorithm

Wheat is a strategic commodity, and so its distribution system is always one of the major issues facing countries. The cost of wheat distribution and storage and the differences in the nutrient content of different wheats, have caused complicated problems in the wheat supply chain. In addition to controlling distribution costs, it could enhance the quality of wheat through blending different ki...