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 …

[HTML][HTML] MIP models for connected facility location: A theoretical and computational study

S Gollowitzer, I Ljubić - Computers & Operations Research, 2011 - Elsevier
This article comprises the first theoretical and computational study on mixed integer
programming (MIP) models for the connected facility location problem (ConFL). ConFL …

SCIP-Jack—a solver for STP and variants with parallelization extensions

G Gamrath, T Koch, SJ Maher, D Rehfeldt… - Mathematical …, 2017 - Springer
The Steiner tree problem in graphs is a classical problem that commonly arises in practical
applications as one of many variants. While often a strong relationship between different …

Computing the metric dimension of graphs by genetic algorithms

J Kratica, V Kovačević-Vujčić, M Čangalović - Computational Optimization …, 2009 - Springer
In this paper we consider the NP-hard problem of determining the metric dimension of
graphs. We propose a genetic algorithm (GA) that uses the binary encoding and the …

[PDF][PDF] An efficient genetic algorithm for solving the multi-level uncapacitated facility location problem

M Maric - Computing and Informatics, 2010 - cai.sk
In this paper a new evolutionary approach for solving the multi-level uncapacitated facility
location problem (MLUFLP) is presented. Binary encoding scheme is used with appropriate …

Reduction techniques for the prize collecting Steiner tree problem and the maximum‐weight connected subgraph problem

D Rehfeldt, T Koch, SJ Maher - Networks, 2019 - Wiley Online Library
The concept of reduction has frequently distinguished itself as a pivotal ingredient of exact
solving approaches for the Steiner tree problem in graphs. In this article we broaden the …

On the exact solution of prize-collecting Steiner tree problems

D Rehfeldt, T Koch - INFORMS Journal on Computing, 2022 - pubsonline.informs.org
The prize-collecting Steiner tree problem (PCSTP) is a well-known generalization of the
classic Steiner tree problem in graphs, with a large number of practical applications. It …

The rooted maximum node-weight connected subgraph problem

E Álvarez-Miranda, I Ljubić, P Mutzel - … of AI and OR Techniques in …, 2013 - Springer
Given a connected node-weighted (di) graph, with a root node r, and a (possibly empty) set
of nodes R, the Rooted Maximum Node-Weight Connected Subgraph Problem (RMWCS) is …

A hybrid VNS for connected facility location

I Ljubić - International Workshop on Hybrid Metaheuristics, 2007 - Springer
The connected facility location (ConFL) problem generalizes the facility location problem
and the Steiner tree problem in graphs. Given a graph G=(V, E), a set of customers \calD⊆V …

Solving the uncapacitated multiple allocation p-hub center problem by genetic algorithm

J Kratica, Z Stanimirović - Asia-Pacific Journal of Operational …, 2006 - World Scientific
In this paper we describe a genetic algorithm (GA) for the uncapacitated multiple allocation p-
hub center problem (UMApHCP). Binary coding is used and genetic operators adapted to …