한국수자원학회논문집 (Journal of Korea Water Resources Association)

  • 제42권6호
  • /
  • Pages.457-464
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  • 2009
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  • 2799-8746(pISSN)
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  • 2799-8754(eISSN)
한국수자원학회 (Korea Water Resources Association)
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상수관로의 경제적 교체시기를 산정하기 위한 통계적 방법론

A Statistical Methodology to Estimate the Economical Replacement Time of Water Pipes

  • 박수완 (부산대학교 공과대학 사회환경시스템공학부)
  • Park, Su-Wan (Dept. of Civil and Env. Eng., Pusan National Univ.)
  • 발행 : 2009.06.30
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⟨ 이전 논문 다음 논문 ⟩

초록

본 논문에서는 상수관로의 파손자료를 이용하여 관로의 위험률을 산정하기 위해 사용되는 비례위험모형의 관로의 순차적 파손시간 예측정확도를 분석하고 이를 이용하여 관로의 경제적 교체 시간구간을 산정할 수 있는 방법론을 제시하였다. 비례위험모형에 기초한 생존함수를 이용하여 연구대상 관로들의 순차적 파손시간을 예측하고 이들을 기록된 파손시간과의 차이를 분석하였다. 이를 통하여 비례위험모형의 파손시간 예측 오차를 최소화하는 생존확률은 0.70인 것으로 결정되었으며, 세 번째 파손으로부터 일곱 번째 파손에 대한 모형만이 관로의 파손시간을 예측하는데 적합한 것으로 분석되었다. 생존확률 0.70과 순차적 파손사건에 대한 생존함수의 하한 및 상한을 이용하여 예제로 사용된 관로에 대해 예측된 파손시간의 95% 신뢰구간의 하한 및 상한을 추정하였다. 예측된 파손시간의 95% 신뢰 구간의 하한과 상한을 이용하여 관로 파손 경향모형인 General Pipe Break Prediction Models(GPBM)을 구축하고 이들을 관로의 한계파괴율과 결합하여 시간에 대한 해를 구하므로써 경제적 교체 시간구간을 산정하였다.

This paper proposes methodologies for analyzing the accuracy of the proportional hazards model in predicting consecutive break times of water mains and estimating the time interval for economical water main replacement. By using the survival functions that are based on the proportional hazards models a criterion for the prediction of the consecutive pipe breaks is determined so that the prediction errors are minimized. The criterion to predict pipe break times are determined as the survival probability of 0.70 and only the models for the third through the seventh break are analyzed to be reliable for predicting break times for the case study pipes. Subsequently, the criterion and the estimated lower and upper bound survival functions of consecutive breaks are used in predicting the lower and upper bounds of the 95% confidence interval of future break times of an example water main. Two General Pipe Break Prediction Models(GPBMs) are estimated for an example pipe using the two series of recorded and predicted lower and upper bound break times. The threshold break rate is coupled with the two GPBMs and solved for time to obtain the economical replacement time interval.

키워드

참고문헌

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