등제한조건을 이용한 목적함수에 대한 최적민감도Optimum Sensitivity of Objective Function using Equality Constraint
- Other Titles
- Optimum Sensitivity of Objective Function using Equality Constraint
- Authors
- 이상일; 신정규; 박경진
- Issue Date
- Oct-2005
- Publisher
- 한국정밀공학회
- Keywords
- Optimum sensitivity(최적민감도); KKT condition(카루시-쿤-터커조건); Lagrange multiplier(라그랑지 승수); Equality constraint(등제한조건)
- Citation
- 한국정밀공학회 2005년도 추계학술대회 논문요약집, pp 473 - 478
- Pages
- 6
- Indexed
- OTHER
- Journal Title
- 한국정밀공학회 2005년도 추계학술대회 논문요약집
- Start Page
- 473
- End Page
- 478
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/45695
- Abstract
- Optimum sensitivity analysis (OSA) is the process to find the sensitivity of optimum solution with respect to the parameter in the optimization problem. The prevalent OSA methods calculate the optimum sensitivity as a post-processing. In this research, a simple technique is proposed to obtain optimum sensitivity as a result of the original optimization problem, provided that the optimum sensitivity of objective function is required. The parameters are considered as additional design variables in the original optimization problem. And then, it is endowed with equality constraints to penalize the additional variables. When the optimization problem is solved, the optimum sensitivity of objective function is simultaneously obtained as Lagrange multiplier. Several mathematical and engineering examples are solved to show the applicability and efficiency of the method compared to other OSA ones.
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Collections - COLLEGE OF ENGINEERING SCIENCES > DEPARTMENT OF MECHANICAL ENGINEERING > 1. Journal Articles
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