[HTML][HTML] Cutting planes in integer and mixed integer programming

H Marchand, A Martin, R Weismantel… - Discrete Applied …, 2002 - Elsevier
This survey presents cutting planes that are useful or potentially useful in solving mixed
integer programs. Valid inequalities for (i) general integer programs,(ii) problems with local …

[图书][B] Handbook of optimization in telecommunications

MGC Resende, PM Pardalos - 2008 - books.google.com
Telecommunications has had a major impact in all aspects of life in the last century. There is
little doubt that the transformation from the industrial age to the information age has been …

Design of survivable networks: A survey

H Kerivin, AR Mahjoub - Networks: An International Journal, 2005 - Wiley Online Library
For the past few decades, combinatorial optimization techniques have been shown to be
powerful tools for formulating and solving optimization problems arising from practical …

Strengthening integrality gaps for capacitated network design and covering problems

RD Carr, LK Fleischer, VJ Leung, CA Phillips - 1999 - osti.gov
A capacitated covering IP is an integer program of the form min {l_brace} ex {vert_bar} Ux
{ge} d, 0 {le} x {le} b, x {element_of} Z {sup+}{r_brace}, where all entries of c, U, and d are …

[HTML][HTML] Towards optimizing the deployment of optical access networks

M Grötschel, C Raack, A Werner - EURO Journal on Computational …, 2014 - Springer
In this paper we study the cost-optimal deployment of optical access networks considering
variants of the problem such as fiber to the home (FTTH), fiber to the building (FTTB), fiber to …

Routing of uncertain traffic demands

W Ben-Ameur, H Kerivin - Optimization and Engineering, 2005 - Springer
Due to the success of the Internet and the diversity of communication applications, it is
becoming increasingly difficult to forecast traffic patterns. To capture the traffic variations, we …

Benders decomposition for the hop-constrained survivable network design problem

Q Botton, B Fortz, L Gouveia… - INFORMS journal on …, 2013 - pubsonline.informs.org
Given a graph with nonnegative edge weights and node pairs Q, we study the problem of
constructing a minimum weight set of edges so that the induced subgraph contains at least K …

A survey on network design problems: main variants and resolution approaches

I Mejri, SB Layeb, F Zeghal - European Journal of Industrial …, 2023 - inderscienceonline.com
Over the last decades, network design problems (NDPs) have been one of the most
investigated combinatorial optimisation problems that are still catching the interest of both …

On capacitated network design cut–set polyhedra

A Atamtürk - Mathematical Programming, 2002 - Springer
This paper provides an analysis of capacitated network design cut–set polyhedra. We give a
complete linear description of the cut–set polyhedron of the single commodity–single facility …

[图书][B] Applications of combinatorial optimization

VT Paschos - 2014 - books.google.com
Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three
major scientific domains: mathematics, theoretical computer science and management. The …