The solution of Rough Bilevel Nonlinear Programming Problem by using Trust-Region Penalty Method
Elsisy, M., Abo-Elnaga, Y., Zaky, H., Alsobky, W., ELhelow, K. (2024). The solution of Rough Bilevel Nonlinear Programming Problem by using Trust-Region Penalty Method. EKB Journal Management System, 10(10), 1-12. doi: 10.1088/1742-6596/2847/1/012003
M. A. Elsisy; Y. Abo-Elnaga; Hany Nasry Zaky; wageda I. Alsobky; K ELhelow. "The solution of Rough Bilevel Nonlinear Programming Problem by using Trust-Region Penalty Method". EKB Journal Management System, 10, 10, 2024, 1-12. doi: 10.1088/1742-6596/2847/1/012003
Elsisy, M., Abo-Elnaga, Y., Zaky, H., Alsobky, W., ELhelow, K. (2024). 'The solution of Rough Bilevel Nonlinear Programming Problem by using Trust-Region Penalty Method', EKB Journal Management System, 10(10), pp. 1-12. doi: 10.1088/1742-6596/2847/1/012003
Elsisy, M., Abo-Elnaga, Y., Zaky, H., Alsobky, W., ELhelow, K. The solution of Rough Bilevel Nonlinear Programming Problem by using Trust-Region Penalty Method. EKB Journal Management System, 2024; 10(10): 1-12. doi: 10.1088/1742-6596/2847/1/012003

The solution of Rough Bilevel Nonlinear Programming Problem by using Trust-Region Penalty Method

The International Conference on Mathematics and Engineering Physics
Volume 10, Issue 10, May 2024, Page 1-12  XML PDF (960.83 K)
Document Type: Original Article
DOI: 10.1088/1742-6596/2847/1/012003
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Authors
M. A. Elsisy; Y. Abo-Elnaga; Hany Nasry Zaky; wageda I. Alsobky; K ELhelow
Abstract
This paper, the rough bilevel nonlinear programming problem (RBNPP) is discussed taking into consideration which level is more important than the other. BNPP is transformed into a crisp unconstrained programming problem. A trust-region method is used to ensure the global convergence of the algorithm. The mechanism of solving RBNPP is presented. There are many situations of roughness in these problems are discussed. The solution procedures for solving all roughness situations are introduced based on the new proposed methodology. The de􀏐initions of solutions are de􀏐ined in all different situations. Also, we show the de􀏐inition of the fully optimal solution of the BNPPs. Finally, numerical examples are
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