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題 名 | "Repairing" Degeneracy in the Ridge Analysis and Dual Response Problems=修復脊線分析與雙反應曲面問題之退化現象 |
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作 者 | 范書愷; | 書刊名 | 明志工專學報 |
卷 期 | 29 1997.05[民86.05] |
頁 次 | 頁147-153 |
分類號 | 440.11 |
關鍵詞 | 反應曲面方法論; 限制型二次數理規劃; 信賴區域法則; 難題; Response surface methodology; Constrained quadratic programming; Trust region methods; The hard case; |
語 文 | 英文(English) |
中文摘要 | 脊線分析與雙反應曲面問題事實上與非線性規劃中的信賴區域問題有高度關聯性 ,所以本文之目的在於提出另一種建立在信賴區域法則的方法,而去強化脊線分析與雙反應 曲面研究法之不足。在信賴區域法則中所謂的難題,它不但是個數值分析的難題,並且阻撓 製程工程師或實驗者尋求系統最佳化;反應曲面方法論諸學者從未發覺此項困難,然而即使 難題發生,亦可在預測反應方程式上加諸一些微動量,而得到進似的最佳解。在文中並利用 文獻中之一例詳加說明。 |
英文摘要 | Since the ridge analysis (RA) and dual response surface (DRS) problems are naturally related to the class of trust region problems in Nonlinear Programming (NLP), the purpose of this technical paper is to provide another method (based on the trust region algorithms) to fortify ridge analysis and dual response approach. A computational difficulty, termed "hard case" in the literature of trust region methods, also hinders the process engineer (experimenter) from seeking optimal operating conditions in RA/DRS optimization. Researchers in Response Surface Methodology (RSM) have been rarely aware of this characteristic difficulty. The hard case-even when occurs-may often be approximately solved by introducing an appropriate perturbation on the regression coefficients of fitted response functions. A numerical example took from the original DRS paper, is indeed an analogue to the hard cases and thus carefully examined. |
本系統中英文摘要資訊取自各篇刊載內容。