Combining an interval approach with a heuristic to solve constrained and engineering design problems

Iranian Journal of Numerical Analysis and Optimization

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 13 شهریور 1404

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2025.93363.1640

نویسندگان

Dhirendra Sharma^* ؛ Syeda Darakhshan Jabeen

Department of Mathematics, Birla Institute of Technology Mesra, Ranchi 835215, India.

چکیده

Solving intricate constrained optimization problems with non-linear constraints is usually difficult. To optimize the constraint and structure engineering design challenges, this work presents a novel hybrid method called SDDS-SABC, which is based on the Split-Detect-Discard-Shrink technique and the Sophisticated ABC algorithm. By using a recursive breakdown, the SDDS approach reduces the size of the entire search region and increases the computing endeavor to focus on the subregion that has viable answers for additional decomposition. In order to identify the most promising subregion, SABC’s values are crucial in assisting in the extraction of the best solutions from the subregions. Until the region shrinks to a nominal width that represents the global or nearly global solution(s) to the optimization problem, both SDDS and SABC are successively repeated. Simultaneously, the subregion exhibiting a viable solution is acknowledged as the present shrinking region in anticipation of a subsequent split. We present a new initialization technique in the SABC algorithm, called the quasi-random sequence-based Halton set, which outperforms the current initialization procedure. Create a composite strategy that uses the employed bee phase to investigate their neighborhood while preserving their cooperative nature. In order to increase the optimization efficiency, we also present a new Dynamic penalty approach that does not rely on any additional characteristics or factors like the majority of existing penalty methods. We test the statistical validity of SDDS-SABC by applying it to engineering design problems and benchmark functions (CEC 2006). SDDS-SABC approach is appropriate for the optimization problems that are numerically stable.

کلیدواژه‌ها

Constrained optimization؛ ABC Algorithm؛ Dynamic penalty function؛ Engineering design problems