Adaptive Black Hole Algorithm for Solving the Set Covering Problem
Joint Authors
Soto, Ricardo
Paredes, Fernando
Castro, Carlos
Olivares, Rodrigo
Taramasco, Carla
Figueroa, Ignacio
Gómez, Álvaro
Crawford, Broderick
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-16
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
Evolutionary algorithms have been used to solve several optimization problems, showing an efficient performance.
Nevertheless, when these algorithms are applied they present the difficulty to decide on the appropriate values of their parameters.
Typically, parameters are specified before the algorithm is run and include population size, selection rate, and operator probabilities.
This process is known as offline control and is even considered as an optimization problem in itself.
On the other hand, parameter settings or control online is a variation of the algorithm original version.
The main idea is to vary the parameters so that the algorithm of interest can provide the best convergence rate and thus may achieve the best performance.
In this paper, we propose an adaptive black hole algorithm able to dynamically adapt its population according to solving performance.
For that, we use autonomous search which appeared as a new technique that enables the problem solver to control and adapt its own parameters and heuristics during solving in order to be more efficient without the knowledge of an expert user.
In order to test this approach, we resolve the set covering problem which is a classical optimization benchmark with many industrial applications such as line balancing production, crew scheduling, service installation, and databases, among several others.
We illustrate encouraging experimental results, where the proposed approach is able to reach various global optimums for a well-known instance set from Beasley’s OR-Library, while improving various modern metaheuristics.
American Psychological Association (APA)
Soto, Ricardo& Crawford, Broderick& Olivares, Rodrigo& Taramasco, Carla& Figueroa, Ignacio& Gómez, Álvaro…[et al.]. 2018. Adaptive Black Hole Algorithm for Solving the Set Covering Problem. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-23.
https://search.emarefa.net/detail/BIM-1206121
Modern Language Association (MLA)
Soto, Ricardo…[et al.]. Adaptive Black Hole Algorithm for Solving the Set Covering Problem. Mathematical Problems in Engineering No. 2018 (2018), pp.1-23.
https://search.emarefa.net/detail/BIM-1206121
American Medical Association (AMA)
Soto, Ricardo& Crawford, Broderick& Olivares, Rodrigo& Taramasco, Carla& Figueroa, Ignacio& Gómez, Álvaro…[et al.]. Adaptive Black Hole Algorithm for Solving the Set Covering Problem. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-23.
https://search.emarefa.net/detail/BIM-1206121
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206121