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A Study on Objective Functions for the Multi-purpose Dam Operation Plan in Korea

국내 다목적댐 운영계획에 적합한 목적함수에 관한 연구

  • Eum, Hyung-Il (School of Civil, Urban & Geosystem Engrg., Seoul National Univ.) ;
  • Kim, Young-Oh (School of Civil, Urban & Geosystem Engrg., Seoul National Univ.) ;
  • Yun, Ji-Hyun (Department of Water Supply Operation & Maintenance, Korea Water Resources Corporation) ;
  • Ko, Ick-Hwan (Hydrosystems Engineering Center, Korea Institute of Water & Environment)
  • 음형일 (서울대학교 지구환경시스템공학부) ;
  • 김영오 (서울대학교 지구환경시스템공학부) ;
  • 윤지현 (한국수자원공사 물관리센터) ;
  • 고익환 (한국수자원공사 수자원연구원 수자원시스템연구소)
  • Published : 2005.09.01

Abstract

Optimization is a process that searches an optimal solution to obtain maximum or minimum value of an objective function. Many researchers have focused on effective search algorithms for the optimum but few researches were interested in establishing the objective function. This study compares two approaches for the objective function: one allows a tradeoff among the objectives and the other does not allow a tradeoff by assigning weights for the absolute priority between the objectives. An optimization model using sampling stochastic dynamic programming was applied to these two objective functions and the resulting optimal policies were compared. As a result, the objective function with no tradeoff provides a decision making process that matches practical reservoir operations than that with a tradeoff allowed. Therefore, it is more reasonable to establish the objective function with no a tradeoff among the objectives for multi-purpose dam operation plan in Korea.

최적화란 목적함수가 최대 또는 최소가 되도록 하는 결정변수를 찾아가는 절차이다. 기존의 많은 연구자들은 최적해의 효율적인 탐색과정에 집중한 반면 최적화의 시작점이라 할 수 있는 목적함수 구성을 위한 연구는 상대적으로 미진한 것이 사실이다. 따라서 본 연구에서는 국내외에서 빈번히 사용되고 있는 가중평균법을 사용하여 tradeoff를 고려한 목적함수와 절대우선순위를 위한 가중값을 적용한 목적함수를 구성하여 표본추계학적 동적계획법을 통해 산정한 최적운영률을 비교하였다. 그 결과 절대우선순위를 위한 가중값을 적용한 경우가 보다 실제 저수지운영과 부합하는 결과를 나타내는 것을 확인할 수 있었다. 따라서 국내 다목적댐 운영계획에 보다 적합한 목적함수를 구성하기 위해서는 절대우선순위를 위한 가중값을 부여하여 목적함수를 구성하는 것이 타당한 것으로 판단된다.

Keywords

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