Next Article in Journal
A Regularization Method to Solve a Cauchy Problem for the Two-Dimensional Modified Helmholtz Equation
Previous Article in Journal
A Fast and Robust Spectrogram Reassignment Method
Article Menu
Issue 4 (April) cover image

Export Article

Open AccessArticle

A Hybrid Framework Combining Genetic Algorithm with Iterated Local Search for the Dominating Tree Problem

1
School of Computer Science and Information Technology, Northeast Normal University, Changchun 130117, China
2
School of Management Science and Information Engineering, Jilin University of Finance and Economics, Changchun 130117, China
*
Authors to whom correspondence should be addressed.
Mathematics 2019, 7(4), 359; https://doi.org/10.3390/math7040359
Received: 29 March 2019 / Revised: 11 April 2019 / Accepted: 11 April 2019 / Published: 19 April 2019
  |  
PDF [605 KB, uploaded 24 April 2019]
  |  

Abstract

Given an undirected, connected and edge-weighted graph, the dominating tree problem consists of finding a tree with minimum total edge weight such that for each vertex is either in the tree or adjacent to a vertex in the tree. In this paper, we propose a hybrid framework combining genetic algorithm with iterated local search (GAITLS) for solving the dominating tree problem. The main components of our framework are as follows: (1) the score functions D s c o r e and W s c o r e applied in the initialization and local search phase; (2) the initialization procedure with restricted candidate list (RCL) by controlling the parameter to balance the greediness and randomness; (3) the iterated local search with three phases, which is used to intensify the individuals; (4) the mutation with high diversity proposed to perturb the population. The experimental results on the classical instances show that our method performs much better than the-state-of-art algorithms. View Full-Text
Keywords: dominating tree; genetic algorithm; iterated local search; score functions dominating tree; genetic algorithm; iterated local search; score functions
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Hu, S.; Liu, H.; Wu, X.; Li, R.; Zhou, J.; Wang, J. A Hybrid Framework Combining Genetic Algorithm with Iterated Local Search for the Dominating Tree Problem. Mathematics 2019, 7, 359.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top