A Binary Cat Swarm Optimization Algorithm for the Non-Unicost Set Covering Problem

Author:

Crawford Broderick123,Soto Ricardo145ORCID,Berríos Natalia1,Johnson Franklin16,Paredes Fernando7,Castro Carlos8,Norero Enrique9

Affiliation:

1. Pontificia Universidad Católica de Valparaíso, 2362807 Valparaíso, Chile

2. Universidad San Sebastián, 8420524 Santiago, Chile

3. Universidad Central de Chile, 8370178 Santiago, Chile

4. Universidad Autónoma de Chile, 7500138 Santiago, Chile

5. Universidad Cientifica del Sur, Lima 18 Lima, Peru

6. Universidad de Playa Ancha, 2360003 Valparaíso, Chile

7. Escuela de Ingeniería Industrial, Universidad Diego Portales, 8370109 Santiago, Chile

8. Universidad Técnica Federico Santa María, 2390123 Valparaíso, Chile

9. Facultad de Ingeniería, Universidad Santo Tomás, 2561694 Viña del Mar, Chile

Abstract

The Set Covering Problem consists in finding a subset of columns in a zero-one matrix such that they cover all the rows of the matrix at a minimum cost. To solve the Set Covering Problem we use a metaheuristic called Binary Cat Swarm Optimization. This metaheuristic is a recent swarm metaheuristic technique based on the cat behavior. Domestic cats show the ability to hunt and are curious about moving objects. Based on this, the cats have two modes of behavior: seeking mode and tracing mode. We are the first ones to use this metaheuristic to solve this problem; our algorithm solves a set of 65 Set Covering Problem instances from OR-Library.

Funder

Consejo Nacional de Ciencia y Tecnología

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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