• Journal of applied mathematics & informatics
• /
• 제26권1_2호
• /
• pp.151-160
• /
• 2008

A pair of multiobjective fractional symmetric dual programs is formulated over arbitrary cones. Weak, strong and converse duality theorems are proved under pseudoinvexity assumptions. A self duality theorem is also discussed.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제4권2호
• /
• pp.59-66
• /
• 2000

We consider a multiobjective fractional variational programming problem (P) involving vector valued functions. By using the concept of proper efficiency, a relationship between the primal problem and parametric multiobjective variational problem is indicated.

• International Journal of Control, Automation, and Systems
• /
• 제1권3호
• /
• pp.271-281
• /
• 2003

In this paper, a new nonlinear programming approach is suggested to solve biaffine matrix inequality (BMI) problems in multiobjective and structured controls. It is shown that these BMI problems are reduced to nonlinear minimization problems. An algorithm that is easily implemented with existing convex optimization codes is presented for the nonlinear minimization problem. The efficiency of the proposed algorithm is illustrated by numerical examples.

• Journal of applied mathematics & informatics
• /
• 제22권1_2호
• /
• pp.181-191
• /
• 2006

In this paper, multiobjective generalized fractional programming problems with set functions are considered, in which objective functions are maximum of finite fractional set functions. At first, optimality conditions are established. Then, saddle existence theorem is proved.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제4권1호
• /
• pp.1-10
• /
• 2000

We obtain some duality results for nonsmooth multiobjective fractional programming problem under generalized invexity assumptions on the objective and constraint functions.

• 대한수학회지
• /
• 제53권1호
• /
• pp.19-25
• /
• 2016

In this paper, some omissions in Mishra and Lai [13], have been pointed out and their corrective measures have been discussed briefly.

• 한국산림과학회지
• /
• 제85권2호
• /
• pp.172-179
• /
• 1996

본 연구는 산림자원(山林資源)의 다목적(多目的) 이용(利用) 문제에 합리적으로 접근하기 위하여 퍼지 다목표(多目標) 선형계획법(線型計劃法)을 삼림경영계획에 응용하고자 시도되었다. 산림이 가지고 있는 두 가지 기능 즉, 목재생산기능(木材生産機能)과 공익기능(公益機熊)이 지역별로 적절히 발휘되면서 조화를 이룰때 산림자원의 다목적 이용문제가 해결될 수 있다. 여기에서는 공익기능 중에서 휴양기능(休養機能)이 발휘되고 있는 자연휴양림(自然休養林)을 대상으로 목재생산기능과 휴양기능이 합목적적(合目的的)으로 조합을 이룰 수 있는 모델을 개발하였다. 우리나라에서 최초로 조성된 유명산 자연휴양림 지역을 대상으로 자료를 수집하여 퍼지 다목표(多目標) 선형계획(線型計劃)모델을 구성하였다. 그리고 이 모델의 계산을 통해 얻어진 결과가 기존의 휴양림 경영계획서상의 자료와 비교 검토되었다. 이때 유명산 자연휴양림 면적 829ha를 대상으로 퍼지 다목표(多目標) 선형계획(線型計劃)모델을 적용한 결과 4분기(分期) 동안 수확경신(收穫更新) 가능한 면적이 410.8ha로 나타났고 이 때의 수확재적은 $57,904m^3$ 였으며, 이 휴양림(休養林)을 찾는 방문객수는 약 860만명 정도로 추정되었다. 퍼지 목표(多目標) 선형계획(線型計劃)모델에 의해서 목재생산계획(木材生産計劃)과 휴양계획(休養計劃)이 동시에 최적화(最適化) 될때의 최대구성함수(最大構成函數)값 ${\lambda}$는 0.29로 나타났다.

• 한국산림과학회지
• /
• 제83권3호
• /
• pp.271-279
• /
• 1994

본(本) 논문(論文)에서는 인공조림임분경영계획(人工造林林分經營計劃) 문제를 해결하기 위하여 임업(林業)에서 최근 새롭게 적용되고 있는 퍼지 다목표(多目標) 선형계획법(線型計劃法)을 소개한다. 우선 퍼지 집합이론(集合理論)이 간략하게 설명되고 퍼지 선형계획법(線型計劃法) 및 퍼지 다목표 선형계획법이 개념적으로 소개된다. 그 다음 연구대상지역의 자료를 분석하여 표준적(標準的) 선형계획(線型計劃)모델이 구성되고 이 모델의 컴퓨터 계산에 의해 4개의 목재가격(木材價格) 범위에 대한 최적해(最適解)(순현재가(純現在價))가 각각 계산된다. 이 선형계획모델은 불확실한 4개의 목재가격정보를 조정하기 위해서 퍼지 다목표(多目標) 선형계획(線型計劃)모델로 재구성된다. 그리고 이 퍼지 모델의 계산에 의해 절충최적해(折衷最適解)가 얻어지게 된다. 4개의 목재가격 범위에 대해 얻어진 4개의 최적해와 하나의 절충최적해가 비교(比較)되고 논의(論議)된다.

• Journal of Information Processing Systems
• /
• 제14권2호
• /
• pp.487-498
• /
• 2018

The purpose of the high-speed railway construction is to better satisfy passenger travel demands. Accordingly, the design of the train working plan must also take a full account of the interests of passengers. Aiming at problems, such as the complex transport organization and different speed trains coexisting, combined with the existing research on the train working plan optimization model, the multiobjective bi-level programming model of the high-speed railway passenger train working plan was established. This model considers the interests of passengers as the center and also takes into account the interests of railway transport enterprises. Specifically, passenger travel cost and travel time minimizations are both considered as the objectives of upper-level programming, whereas railway enterprise profit maximization is regarded as the objective of the lower-level programming. The model solution algorithm based on genetic algorithm was proposed. Through an example analysis, the feasibility and rationality of the model and algorithm were proved.

• 대한교통학회지
• /
• 제5권1호
• /
• pp.47-58
• /
• 1987

A commodity distribution problem with intertemporal storage facilities and dynamic transportation networks is proposed. mathematical integer programming methods and multiobjective programming techniques are used in the model formulation. Dynamic characteristics of commodity distribution problems are taken into account in the model formulation. storage facility location problems and transportation link addition problems are incorporated into the intertemporal multicommodity distribution problem. The model is capable of generating the most efficient and rational commodity distribution system. Therefore it can be utilized to provided the most effective investment plan for the transportation infrastructure development as well as to evaluate the existing commodity distribution system. The model determines simultaneously the most efficient locations, sizes, and activity levels of storage facilities as well as new highway links. It is extended to multiobjective planning situations for the purpose of generating alternative investment plans in accordance to planning situations. sine the investment in transportation network improvement yields w\several external benefits for a regional economy, the induced benefit maximization objective is incorporated into the cost minimization objective. The multiobjective model generates explicitly the trade-off between cost savings and induced benefits of the investment in transportation network improvement.