A 2n constraint formulation for the capacitated minimal spanning tree problem

L Gouveia - Operations research, 1995 - pubsonline.informs.org
In this paper we present a new formulation for the Capacitated Minimal Spanning Tree
(CMST) problem. One advantage of the new formulation is that it is more compact (in the …

Matheuristics: survey and synthesis

MA Boschetti, AN Letchford… - … in Operational Research, 2023 - Wiley Online Library
In integer programming and combinatorial optimisation, people use the term matheuristics to
refer to methods that are heuristic in nature but draw on concepts from the literature on exact …

A biased random-key genetic algorithm for the capacitated minimum spanning tree problem

E Ruiz, M Albareda-Sambola, E Fernández… - Computers & Operations …, 2015 - Elsevier
This paper focuses on the capacitated minimum spanning tree (CMST) problem. Given a
central processor and a set of remote terminals with specified demands for traffic that must …

Approximation algorithms for the capacitated minimum spanning tree problem and its variants in network design

R Jothi, B Raghavachari - ACM Transactions on Algorithms (TALG), 2005 - dl.acm.org
Given an undirected graph G=(V, E) with nonnegative costs on its edges, a root node r V, a
set of demands DV with demand v D wishing to route w (v) units of flow (weight) to r, and a …

A hybrid evolutionary algorithm for the capacitated minimum spanning tree problem

Y Lu, U Benlic, Q Wu - Computers & Operations Research, 2022 - Elsevier
The capacitated minimum spanning tree (CMST) problem is a fundamental problem in
telecommunication network design. Given a central node and a set of remote terminal nodes …

A memory adaptive reasoning technique for solving the capacitated minimum spanning tree problem

R Patterson, H Pirkul, E Rolland - Journal of Heuristics, 1999 - Springer
In this paper we propose a hybrid memory adaptive heuristic for solving the Capacitated
Minimum Spanning Tree (CMST) problem. We augment the problem formulation with …

A greedy heuristic for the capacitated minimum spanning tree problem

M Kritikos, G Ioannou - Journal of the Operational Research Society, 2017 - Taylor & Francis
This paper develops a greedy heuristic for the capacitated minimum spanning tree problem
(CMSTP), based on the two widely known methods of Prim and of Esau–Williams. The …

A comparison of directed formulations for the capacitated minimal spanning tree problem

L Gouveia - Telecommunication Systems, 1993 - Springer
In this paper, we compare linear integer programming directed formulations for the
capacitated minimal spanning tree (CMST) problem. This problem is directly related to …

The Capacitated Minimal Spanning Tree Problem: An experiment with a hop‐indexedmodel

L Gouveia, P Martins - Annals of Operations Research, 1999 - Springer
Abstract The Capacitated Minimal Spanning Tree Problem (CMSTP) is to find a minimal
spanningtree with an additional cardinality constraint on the size of the subtrees off of a …

Multi-period capacity expansion for a local access telecommunications network

M Gendreau, JY Potvin, A Smires, P Soriano - European Journal of …, 2006 - Elsevier
In this paper, we examine a multi-period capacity expansion problem for a local access
telecommunications network with a tree topology. Capacity expansion is realized through …