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 …

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 …

The regenerator location problem

S Chen, I Ljubić, S Raghavan - Networks: An International …, 2010 - Wiley Online Library
In this article, we introduce the regenerator location problem (RLP), which deals with a
constraint on the geographical extent of transmission in optical networks. Specifically, an …

Strong formulations for network design problems with connectivity requirements

TL Magnanti, S Raghavan - Networks: An International Journal, 2005 - Wiley Online Library
The network design problem with connectivity requirements (NDC) includes as special
cases a wide variety of celebrated combinatorial optimization problems including the …

Hop-constrained metric embeddings and their applications

A Filtser - 2021 IEEE 62nd Annual Symposium on Foundations …, 2022 - ieeexplore.ieee.org
In network design problems, such as compact routing, the goal is to route packets between
nodes using the (approximated) shortest paths. A desirable property of these routes is a …

On formulations and methods for the hop-constrained minimum spanning tree problem

G Dahl, L Gouveia, C Requejo - Handbook of optimization in …, 2006 - Springer
In this chapter we present a general framework for modeling the hopconstrained minimum
spanning tree problem (HMST) which includes formulations already presented in the …

Labeled nearest neighbor search and metric spanners via locality sensitive orderings

A Filtser - arXiv preprint arXiv:2211.11846, 2022 - arxiv.org
Chan, Har-Peled, and Jones [SICOMP 2020] developed locality-sensitive orderings (LSO)
for Euclidean space. A $(\tau,\rho) $-LSO is a collection $\Sigma $ of orderings such that for …

IP/MPLS-over-OTN-over-DWDM multilayer networks: an integrated three-layer capacity optimization model, a heuristic, and a study

I Katib, D Medhi - IEEE transactions on network and service …, 2012 - ieeexplore.ieee.org
Multilayer network design has received significant attention in current literature. Despite this,
the explicit modeling of IP/MPLS over OTN over DWDM in which the OTN layer is specifically …

Network design problem with relays: A genetic algorithm with a path-based crossover and a set covering formulation

A Konak - European Journal of Operational Research, 2012 - Elsevier
The network design problem with relays arises in telecommunications and distribution
systems where the payload must be reprocessed at intermediate stations called relays on …

The generalized regenerator location problem

S Chen, I Ljubić, S Raghavan - INFORMS Journal on …, 2015 - pubsonline.informs.org
In an optical network a signal can only travel a maximum distance d max before its quality
deteriorates to the point that it must be regenerated by installing regenerators at nodes of the …