A proof of convergence for ant algorithms

Joint Authors

Badr, A.
Fahmi, A.

Source

International Journal of Intelligent Computing and Information Sciences

Issue

Vol. 3, Issue 1 (31 Jan. 2003), pp.22-32, 11 p.

Publisher

Ain Shams University Faculty of Computer and Information Sciences

Publication Date

2003-01-31

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

A proof of convergence for Ant algorithms is developed.

Ant algorithms were modeled as branching random processes : the branching random walk and branching Wiener process to derive rates of birth and death of ant paths.

Substitution is then carried out in birth-death processes, which proves that a stable distribution is surely reached.

This indicates that Ant algorithms converge with probability one.

This analogy models Ant algorithms complexity parameters such as the number of cycles, the degrees of freedom of problem and the number of ants.

American Psychological Association (APA)

Badr, A.& Fahmi, A.. 2003. A proof of convergence for ant algorithms. International Journal of Intelligent Computing and Information Sciences،Vol. 3, no. 1, pp.22-32.
https://search.emarefa.net/detail/BIM-296340

Modern Language Association (MLA)

Badr, A.& Fahmi, A.. A proof of convergence for ant algorithms. International Journal of Intelligent Computing and Information Sciences Vol. 3, no. 1 (Jan. 2003), pp.22-32.
https://search.emarefa.net/detail/BIM-296340

American Medical Association (AMA)

Badr, A.& Fahmi, A.. A proof of convergence for ant algorithms. International Journal of Intelligent Computing and Information Sciences. 2003. Vol. 3, no. 1, pp.22-32.
https://search.emarefa.net/detail/BIM-296340

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 31-32

Record ID

BIM-296340