TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

Development of a new approach algorithm for ant colony optimization using Python program

* ,

* Corresponding author · click or hover a name for details

pp. 95–105Vol. 28Issue 1February 2025DOI: 10.47974/JIM-1800XML
Received:
05 Jun 2024
Published Online:
13 Feb 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-1800
Pages:
95–105

Abstract

The world faces many challenges in our daily life, and the challenges as considered a mathematical model in a wide range and require different improvement methods and approaches. In this research, we reviewed one of the most important algorithms in swarm intelligence, which is the ant algorithm. One of its shortcomings is that it does not converge quickly, it is slow, and one of its advantages is that it is strong and capable of improvement. The research study adopts a new approach to develop ant algorithm to obtain the solution. The research worked on improving the algorithm with convergence speed and high search ability while ensuring the optimal solution. We applied the Ant algorithm to the street vendor. Optimization with high accuracy while reducing time.

Keywords

Subject Classifications

65K1049Mxx49M05

References

[1] B. Shuang, J. Chen, and Z. Li, “Study on hybrid PS-ACO algorithm,” Applied Intelligence, vol. 34, no. 1, pp. 64–73 (2011). 
[2] S. Li, Y. Wei, X. Liu, H. Zhu, and Z. Yu, “A new fast ant colony opti­mization algorithm: the saltatory evolution ant colony optimization algorithm,” Mathematics, vol. 10, no. 6, p. 925 (2022). 
[3] X. Xie, Z. Tang, and J. Cai, “The multi-objective inspection path-plan­ning in radioactive environment based on an improved ant colony optimization algorithm,” Progress in Nuclear Energy, vol. 144, p. 104076 (2022). 
[4] L. Wu, X. Huang, J. Cui, C. Liu, and W. Xiao, “Modified adaptive ant colony optimization algorithm and its application for solving path planning of mobile robot,” Expert Systems with Applications, vol. 215, p. 11941 (2023). 
[5] S. Kashef and H. Nezamabadi-Pour, “An advanced ACO algorithm for feature subset selection,” Neurocomputing, vol. 147, pp. 271–279 (2015). 
[6] T. Liao, T. Stützle, M. A. M. de Oca, and M. Dorigo, “A unified ant colony optimization algorithm for continuous optimization,” Euro­pean Journal of Operational Research, vol. 234, no. 3, pp. 597–609 (2014). 
[7] X. Chen, Y. Kong, X. Fang, and Q. Wu, “A fast two-stage ACO algo­rithm for robotic path planning,” Neural Computing and Applications, vol. 22, pp. 313–319 (2013). 
[8] A. G. Gad, “Particle swarm optimization algorithm and its applica­tions: a systematic review,” Archives of Computational Methods in Engi­neering, vol. 29, no. 5, pp. 2531–2561 (2022). 
[9] R. Dorfman, P. A. Samuelson, and R. M. Solow, Linear Programming and Economic Analysis. Courier Corporation (1987).
[10] G. B. Dantzig, Linear Programming and Extensions. Princeton Univer­sity Press (1998).
[11] X.-S. Yang, Optimization and Metaheuristic Algorithms in Engineer­ing, Metaheuristics in Water, Geotechnical, and Transport Engineer­ing, vol. 1, p. 23 (2013).
[12] D. P. Bertsekas, “Nonlinear programming,” Journal of the Operational Research Society, vol. 48, no. 3, p. 334 (1997).
[13] R. C. Robinson, Introduction to Mathematical Optimization, Depart­ment of Mathematics, Northwestern University, Illinois, USA (2013).
[14] M. R. Farahani, S. Jafari, S. A. Mohiuddine, and M. Cancan, “Intu­itionistic fuzzy stability of generalized additive set-valued functional equation via fixed point method,” Mathematical Statistician and En­gineering Applications, vol. 71, no. 3s3, pp. 142–154 (2022). [Online]. Available: https://www.philstat.org.ph/index.php/MSEA/article/view/355.
[15] M. R. Farahani, J. E. N. Valdes, M. Cancan, S. Jafari, and C. Park, “Fuzzy stability in the sense of Hyers-Ulam-Rassias of a functional equation on quadratic forms,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1355–1365. [Online]. Available: https://doi.org/10.47974/JIM-1633.
[16] S. M. Kadham and M. A. Mustafa, “Medical applications of the new-transform,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1341–1353. [Online]. Available: https://doi.org/10.47974/JIM-1632.
[17] S. M. Kadham and M. A. Mustafa, “Fuzzy SHmath. Mbio-transform generalization and application to skin cancer imaging (distributed diseases),” J. Interdiscip. Math., vol. 26, no. 6, pp. 1031–1042. [Online]. Available: https://doi.org/10.47974/JIM-1603.
[18] R. H. Hasan, M. A. Kadhim, and A. M. Darweesh, “Fuzzy partial T-transforms applied to a system of PDE,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1099–1107. [Online]. Available: https://doi.org/10.47974/JIM-1609.
[19] S. Jafari, M. R. Farahani, and M. Rajesh, “Double fuzzy rarely con­tinuous functions,” Annals of Fuzzy Mathematics and Informatics, vol. 26, no. 1, pp. 35–45.
[20] M. B. Salman and W. H. Hanoon, “Fuzzy scl-semi 2-ABSO submd and related concepts,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1231–1242. [Online]. Available: https://doi.org/10.47974/JIM-1621.
[21] A. S. Abed and A. T. Hameed, “The fuzzy results on SA-algebra,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1273–1280. [Online]. Available: https://doi.org/10.47974/JIM-1625.
[23] Z. H. Abdulabbas and L. A. R. Al Asadi, “Calculating Dynamic Strengths of Concrete Subjected to Impact Load,” Key Engineering Ma­terials, vol. 895, pp. 12–19 (Aug. 2021), doi: https://doi.org/10.4028/www.scientific.net/kem.895.12. 
[24] R. A. Kamil, H. M. Atiea, A. A. Kadhem, Layth Abdulrasool Ala­sadi, and Q. A. Jabal, “Improvement of the mechanical properties of polymer-modified concrete by using PC superplasticizer,” Pol­lack Periodica, vol. 18, no. 3, pp. 14–19 (Jul. 2023), doi: https://doi.org/10.1556/606.2023.00742. 
[25] S. M. Kadham, “Acute interstitial pneumonia image enhancement us­ing fuzzy partial transforms,” Applied Geomatics, vol. 16, no. 1, pp. 35–39 (May 2023), doi: https://doi.org/10.1007/s12518-023-00509-8. 
[26] H. S. Al-Bahrani, L. A. Al-Asadi, L. K. Al-Waeli, H. F. Al-Isawi, and A. M. Al-Jobory, “Determining new way to detect hydrocarbon pol­luted water at vertical and horizontal spaces,” Materials Today: Pro­ceedings, vol. 42, pp. 2071–2075, 2021, doi: https://doi.org/10.10

Views: 166Downloads: 73Citations: 0