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Solving Interval Quadratic Programming Problems by Using the Numerical Method and Swarm Algorithms
Joint Authors
Elsisy, M. A.
Hammad, D. A.
El-Shorbagy, M. A.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, we present a new approach which is based on using numerical solutions and swarm algorithms (SAs) to solve the interval quadratic programming problem (IQPP).
We use numerical solutions for SA to improve its performance.
Our approach replaced all intervals in IQPP by additional variables.
This new form is called the modified quadratic programming problem (MQPP).
The Karush–Kuhn–Tucker (KKT) conditions for MQPP are obtained and solved by the numerical method to get solutions.
These solutions are functions in the additional variables.
Also, they provide the boundaries of the basic variables which are used as a start point for SAs.
Chaotic particle swarm optimization (CPSO) and chaotic firefly algorithm (CFA) are presented.
In addition, we use the solution of dual MQPP to improve the behavior and as a stopping criterion for SAs.
Finally, the comparison and relations between numerical solutions and SAs are shown in some well-known examples.
American Psychological Association (APA)
Elsisy, M. A.& Hammad, D. A.& El-Shorbagy, M. A.. 2020. Solving Interval Quadratic Programming Problems by Using the Numerical Method and Swarm Algorithms. Complexity،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1142726
Modern Language Association (MLA)
Elsisy, M. A.…[et al.]. Solving Interval Quadratic Programming Problems by Using the Numerical Method and Swarm Algorithms. Complexity No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1142726
American Medical Association (AMA)
Elsisy, M. A.& Hammad, D. A.& El-Shorbagy, M. A.. Solving Interval Quadratic Programming Problems by Using the Numerical Method and Swarm Algorithms. Complexity. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1142726
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142726