The maximum flow problem and its dual, the minimum cut problem, are classical combinatorial optimization problems with many applications in science and engineering; see, for example, Ahuja et al. 1 ...

This project demonstrates a Max Flow Solver using Linear Programming (LP) and the Simplex algorithm. It includes utilities to create linear programming matrices from flow network data, a simplex ...

It offers rich material for teaching algorithmic paradigms: greedy, iterative, multilevel, and mathematical programming. Together with von Neumann’s minimax theorem for zero-sum games and Yao’s ...

A minimum cost maximum flow algorithm is proposed for resources(e.g. virtual machines) placement in clouds confronted to dynamic workloads and flows variations. The algorithm is compared to an exact ...

The article presents an approach to the maximum flow problem in parametric networks with linear capacity functions of a single parameter, based on the concept of shortest conditional augmenting ...

We present an algorithm that computes exact maximum flows and minimum-cost flows on directed graphs with m edges and polynomially bounded integral demands, costs, and capacities in m 1+o(1) time. Our ...

Algorithm promises to greatly streamline solutions to the 'max flow' problem. Research could boost the efficiency even of huge networks like the Internet. Finding the most efficient way to ...

The fastest conceivable runtime for a maximum flow algorithm would just be a multiple of m (that is, m 1.0), since it takes some multiple of m steps just to write down a network. This is referred to ...

View on Coursera Course Description. This course continues our data structures and algorithms specialization by focussing on the use of linear and integer programming formulations for solving ...

A minimum cost maximum flow algorithm is proposed for resources(e.g. virtual machines) placement in clouds confronted to dynamic workloads and flows variations. The algorithm is compared to an exact ...