评估正弦余弦算法在解决压力容器工程设计问题中的性能

Ghulam Ali Sabery, Ghulam Hassan Danishyar, Mohammad Arman Osmani
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摘要

正弦余弦算法(SCA)是基于群体的元启发式优化算法之一,其灵感来自正弦和余弦函数的振荡和收敛特性。SCA 利用正弦和余弦函数的自适应范围变化,实现从探索到开发的平滑过渡。另一方面,压力容器设计是一个复杂的工程结构优化问题,其目的是找到能承受高压的最佳容器设计。这通常涉及优化容器的材料、形状和厚度,以最大限度地降低焊接、材料和成型成本,同时确保其满足安全和性能要求。本文评估了 SCA 在解决压力容器设计问题方面的性能。将 SCA 得出的结果与其他著名的元启发式优化算法(即 ABC、ACO、BBO、CMA-ES、CS、DE、GA、GSA、GWO、HSA、PSO、SSO、TLBO 和 TSA)得出的结果进行了比较。实验结果表明,与其他元启发式优化算法相比,SCA 具有结构搜索方程简单的优势,能提供具有竞争力的解决方案。此外,通过不同的种群数量检验了 SCA 的性能,结果表明最佳种群数量应为 30 和 40。此外,还对不同种群数量下的 SCA 搜索代理成功率进行了检验,结果表明搜索代理成功率不超过 4.2%。
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Evaluation the Performance of Sine Cosine Algorithm in Solving Pressure Vessel Engineering Design Problem
The Sine Cosine Algorithm (SCA) is one of the population-based metaheuristic optimization algorithms inspired by the oscillation and convergence properties of sine and cosine functions. The SCA smoothly transits from exploration to exploitation using adaptive range change in the sine and cosine functions. On the other hand, pressure vessel design is a complex engineering structural optimization problem, which aims to find the best possible design for a vessel that can withstand high pressure. This typically involves optimizing the material, shape, and thickness of the vessel to minimize welding, the material, and forming cost while ensuring it meets safety and performance requirements. This paper evaluates the performance of SCA for solving pressure vessel design problems. The result produced by SCA is compared with the results obtained by other well-known metaheuristic optimization algorithms, namely; ABC, ACO, BBO, CMA-ES, CS, DE, GA, GSA, GWO, HSA, PSO, SSO, TLBO and TSA. The experimental results demonstrated that SCA provides a competitive solution to other metaheuristic optimization algorithms with the advantage of having a simple structured search equation. Moreover, the performance of SCA is checked by different numbers of populations and the results indicated that the best possible population size should be 30 and 40. In addition to this, the SCA search agent success rate is checked for different numbers of populations and results show that the search agent success rate do not exceed 4.2%.
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