Using the ACS Approach to Solve Continuous Mathematical Problems in Engineering
Joint Authors
Wu, Min-Thai
Hong, Tzung Pei
Lee, Chung-Nan
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Ant colony system (ACS) has been widely applied for solving discrete domain problems in recent years.
In particular, they are efficient and effective in finding nearly optimal solutions to discrete search spaces.
Because of the restriction of ant-based algorithms, when the solution space of a problem to be solved is continuous, it is not so appropriate to use the original ACS to solve it.
However, engineering mathematics in the real applications are always applied in the continuous domain.
This paper thus proposes an extended ACS approach based on binary-coding to provide a standard process for solving problems with continuous variables.
It first encodes solution space for continuous domain into a discrete binary-coding space (searching map), and a modified ACS can be applied to find the solution.
Each selected edge in a complete path represents a part of a candidate solution.
Different from the previous ant-based algorithms for continuous domain, the proposed binary coding ACS (BCACS) could retain the original operators and keep the benefits and characteristics of the traditional ACS.
Besides, the proposed approach is easy to implement and could be applied in different kinds of problems in addition to mathematical problems.
Several constrained functions are also evaluated to demonstrate the performance of the proposed algorithm.
American Psychological Association (APA)
Wu, Min-Thai& Hong, Tzung Pei& Lee, Chung-Nan. 2014. Using the ACS Approach to Solve Continuous Mathematical Problems in Engineering. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-449087
Modern Language Association (MLA)
Wu, Min-Thai…[et al.]. Using the ACS Approach to Solve Continuous Mathematical Problems in Engineering. Mathematical Problems in Engineering No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-449087
American Medical Association (AMA)
Wu, Min-Thai& Hong, Tzung Pei& Lee, Chung-Nan. Using the ACS Approach to Solve Continuous Mathematical Problems in Engineering. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-449087
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449087