• 한국경영과학회지
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• 제15권1호
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• pp.73-82
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• 1990

This paper describes two algorithms to Nonlinear programming problems with equality constraints and with equality and inequality constraints. The first method treats nonlinear programming problems with equality constraints. Utilizing the nonlinear programming problems with equality constraints. Utilizing the nonlinear parametric programming technique, the method solves the problem by imbedding it into a suitable one-parameter family of problems. The second method is to solve a nonlinear programming problem with equality and inequality constraints, by minimizing a square sum of nonlinear functions which is derived from the Kuhn-Tucker condition.

• 상하수도학회지
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• 제21권5호
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• pp.581-587
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• 2007

In order to suggest the methodology for improving the equality of flow distribution in a distribution channel, wet tests were carried out for pilot plant which was scaled down to 1/8 of full scale distribution channel being operated in domestic K_water treatment plant. The correlation between various hydraulic variables and their effects on the equality of flow distribution was evaluated through wet tests using pilot plant. From the results of wet tests, the longitudinal baffle with orifices was installed in the distribution channel, the equality of flow distribution was improved on the condition that the Froude number in pilot plant was similar with that in the full scale channel. Also, the opening ratio of the orifices on the longitudinal baffled did not have influence on the performance of the equality of flow distribution when the average flow velocity and Froud number were relatively low (Froude number ${\fallingdotseq} 0.01$). In the other hand, the performance of the equality of flow distribution was improved with increasing the opening ration of on the longitudinal baffle under conditions of relatively high average flow velocity and high Froud number(${\gtrsim}0.1$)

• 대한교통학회지
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• 제20권3호
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• pp.129-147
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• 2002

본 연구에서 변동등식에 근거한 동적경로선택조건을 도출하여 동적통행배정모형을 제안한다. 동적경로선택조건은 운전자에 의해 이용된 경로, 링크 그리고 출발지의 출발시간을 고려하여 도출되며 이 조건을 동적통행배정모형으로 전환하는 과정에서 모형의 변동등식문제로 압축된다. 등식이론에 근거한 모델의 이론적 배경을 입증하기 위해 제안된 동적통행배정모형이 필요충분조건을 만족함이 증명되었다. 해법으로서 기존의 제안된 네트워크의 시간과 공간확장기법을 채택하지 않고 물리적 네트워크가 직접 알고리즘에 반영되도록 하기 위해 각 링크의 시간대별 통행량과 방출통행량을 링크진입통행으로 표현하여 시간종속 통행시간함수를 단일변수로 처리하여 대각화알고리즘에 반영하였다. 소규모 비대칭 네트워크 적용결과 사용자 동적최적경로선택조건이 만족됨을 입증하였는데 단위시간간격이 적을수록 개선된 효과를 보여준다. I-394네트워크 실험결과로서 기존의 변동부등식에 근거한 알고리즘에 비해 제안된 알고리즘이 최소한 93%이상의 컴퓨터연산 속도의 개선효과를 가져왔다. 등식이론에 근거한 모델개발의 장점으로서는 제안된 모델의 최적해의 계산시간이 전체시간의 증가에 전혀 영향을 받지 않는다는 것으로 이는 동적통행배정모형에 적용될 네트워크의 규모가 커질수록 제안된 알고리즘의 계산 효율성은 더욱 증가하는 것을 의미한다. 따라서 제안된 동적통행배정모형은 대규모 시간종속적 교통망에서 교통상황의 변화에 민감하게 반응할 수 있는 실시간첨단교통제어의 핵심기능으로서 역할수행이 기대된다.

• 한국생활과학회지
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• 제12권2호
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• pp.183-199
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• 2003

The purposes of this research were to analyse the female college students' appraisals and demands about actual conditions of job-seeking and to propose the developmental alternatives from the perspectives of gender equality. The data were obtained through 510 female students living in Gwangju. The major findings were as follows: 1) Women's needs of job-seeking were very intensive but their preparation level was relatively low. Colleges' support system and organization utility were uneffective because their programs were not specified for women. Women generally recognized that social improvement for gender equality in employment system were very important and more practical methods and contents were demanded in education for job-seeking. 2) Women's grade and major were significant variables in the differences of job preparation, consciousness of job-seeking, social support and appraisals. Therefore, college supporting systems must consider students' characteristics. 3) The job-seeking mechanisms must be changed to more effective systems for the achievement of gender equality. Also community members, colleges and students should make collaborate endeavors for the women empowerment.

• 대한기계학회논문집A
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• 제29권12권
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• pp.1629-1637
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• 2005

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.

• 대한전기학회논문지:전력기술부문A
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• 제49권7호
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• pp.339-344
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• 2000

This paper presents an improved optimal power flow algorithm, which solves an optimization problem with equality constraints with converted inequality constraints. The standard OPF and the penalty function method should do reconstructing active constraints among the inequality constraints so that the activation of the inequality constraints has been imposing an additional burden to solve OPF problem efficiently. However the proposed algorithm converts active inequality constraints into the equality constraints in order to preclude us from reconstructing the procedures. The effectiveness of the new OPF algorithm is validated by applying the IEEE 14 bus system.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2005년도 추계학술대회 논문집
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• pp.464-469
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• 2005

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.

• Journal of applied mathematics & informatics
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• 제20권1_2호
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• pp.421-431
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• 2006

In this paper, we establish a matrix inequality and its equivalent form. Applying the results, some matrix inequalities involving Khatri-Rao products of positive semi-definite matrices are generalized.

• 충청수학회지
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• 제36권3호
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• pp.155-162
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• 2023

We study permutatons that satisfy a necessary and sufficient condition for the equality of Fulton's essential set and the maximal-inversion-descent(MID) set.

• 제어로봇시스템학회논문지
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• 제21권6호
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• pp.560-564
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• 2015

This paper presents a design method of a static output feedback controller for continuous T-S fuzzy systems via parallel distributed compensation (PDC). The existence condition of a set of static output feedback gains is represented in terms of linear matrix inequalities (LMIs). The sufficient condition presented here does not need any transformation matrices and equality constraints and is less conservative than the previous results seen in [20].