Max-min fairness and its applications to routing and load-balancing in communication networks: a tutorial

D Nace, M Pióro - IEEE Communications Surveys & Tutorials, 2008 - ieeexplore.ieee.org
This tutorial is devoted to the notion of max-min fairness (MMF), associated optimization
problems, and their applications to multi-commodity flow networks. We first introduce a …

Competitive routing of virtual circuits in ATM networks

S Plotkin - IEEE Journal on Selected Areas in Communications, 1995 - ieeexplore.ieee.org
Classical routing and admission control strategies achieve provably good performance by
relying on an assumption that the virtual circuits arrival pattern can be described by some a …

Learning to route

A Valadarsky, M Schapira, D Shahaf… - Proceedings of the 16th …, 2017 - dl.acm.org
Recently, much attention has been devoted to the question of whether/when traditional
network protocol design, which relies on the application of algorithmic insights by human …

[图书][B] Combinatorial optimization

BH Korte, J Vygen, B Korte, J Vygen - 2011 - Springer
Let us start with two examples. A company has a machine which drills holes into printed
circuit boards. Since it produces many of these boards it wants the machine to complete one …

Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms

T Leighton, S Rao - Journal of the ACM (JACM), 1999 - dl.acm.org
In this paper, we establish max-flow min-cut theorems for several important classes of
multicommodity flow problems. In particular, we show that for any n-node multicommodity …

Expander flows, geometric embeddings and graph partitioning

S Arora, S Rao, U Vazirani - Journal of the ACM (JACM), 2009 - dl.acm.org
We give a O (√ log n)-approximation algorithm for the sparsest cut, edge expansion,
balanced separator, and graph conductance problems. This improves the O (log n) …

Faster and simpler algorithms for multicommodity flow and other fractional packing problems

N Garg, J Könemann - SIAM Journal on Computing, 2007 - SIAM
Faster and Simpler Algorithms for Multicommodity Flow and Other Fractional Packing
Problems Page 1 SIAM J. COMPUT. c 2007 Society for Industrial and Applied Mathematics …

[图书][B] Handbook of approximation algorithms and metaheuristics

TF Gonzalez - 2007 - taylorfrancis.com
Delineating the tremendous growth in this area, the Handbook of Approximation Algorithms
and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical …

Improved bounds for mixing rates of Markov chains and multicommodity flow

A Sinclair - Combinatorics, probability and Computing, 1992 - cambridge.org
The paper is concerned with tools for the quantitative analysis of finite Markov chains whose
states are combinatorial structures. Chains of this kind have algorithmic applications in many …

Fast approximation algorithms for fractional packing and covering problems

SA Plotkin, DB Shmoys… - Mathematics of Operations …, 1995 - pubsonline.informs.org
This paper presents fast algorithms that find approximate solutions for a general class of
problems, which we call fractional packing and covering problems. The only previously …