Solving Steiner trees: Recent advances, challenges, and perspectives

I Ljubić - Networks, 2021‏ - Wiley Online Library
The Steiner tree problem (STP) in graphs is one of the most studied problems in
combinatorial optimization. Since its inception in 1970, numerous articles published in the …

A practical greedy approximation for the directed steiner tree problem

D Watel, MA Weisser - Journal of Combinatorial Optimization, 2016‏ - Springer
The directed Steiner tree (DST) NP-hard problem asks, considering a directed weighted
graph with n nodes and m arcs, a node r called root and a set of k nodes X called terminals …

Faster algorithms for Steiner tree and related problems: From theory to practice

D Rehfeldt - International Conference on Operations Research, 2022‏ - Springer
The Steiner tree problem in graphs (SPG) is a classic-hard problem. Many applications can
be modeled as SPG or closely related problems. This article describes a state-of-the-art …

A survey of parallel and distributed algorithms for the steiner tree problem

M Bezenšek, B Robič - International Journal of Parallel Programming, 2014‏ - Springer
Given a set of input points, the Steiner Tree Problem (STP) is to find a minimum-length tree
that connects the input points, where it is possible to add new points to minimize the length …

Towards distributed 2-approximation Steiner minimal trees in billion-edge graphs

T Reza, G Sanders, R Pearce - 2022 IEEE International Parallel …, 2022‏ - ieeexplore.ieee.org
Given an edge-weighted graph and a set of known seed vertices of interest, a network
scientist often desires to understand the graph relationships to explain connections between …

Distributed approximate minimal Steiner trees with millions of seed vertices on billion-edge graphs

T Reza, T Steil, G Sanders, R Pearce - Journal of Parallel and Distributed …, 2023‏ - Elsevier
In this paper, we present a parallel 2-approximation Steiner minimal tree algorithm and its
MPI-based distributed implementation. In place of expensive distance computations …

A distributed dual ascent algorithm for the hop-constrained Steiner tree problem

M Santos, LMA Drummond, E Uchoa - Operations research letters, 2010‏ - Elsevier
The Hop-constrained Steiner Tree Problem is often used to model applications of multicast
routing with QoS requirements. This paper introduces a distributed heuristic for the problem …

Scheduling and Online Planning in Stochastic Diffusion Networks

S Xue - 2020‏ - ir.library.oregonstate.edu
Reserve site selection is a key problem in conservation planning in which planners select
land regions to be designated as nature reserves, either to achieve general conservation …

Scheduling conservation designs for maximum flexibility via network cascade optimization

S Xue, A Fern, D Sheldon - Journal of Artificial Intelligence Research, 2015‏ - jair.org
One approach to conserving endangered species is to purchase and protect a set of land
parcels in a way that maximizes the expected future population spread. Unfortunately, an …

[PDF][PDF] BRKGA adapted to multiobjective unit commitment problem Solving Pareto frontier for UC multiobjective Problem using BRKGA SPEA2 NPGA and NSGA II …

FACC Fontes, L Roque, D Fontes - 2012‏ - repositorio.inesctec.pt
The environmental concerns are having a significant impact on the operation of power
systems. The traditional Unit Commitment problem, which to minimizes the fuel cost is …