• 제목/요약/키워드: upper and lower bounds

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경북지역 친환경딸기 농가의 인증유형에 따른 효율성 분석 (An Analysis on Efficiency for the Environmental Friendly Agricultural Product of Strawberry in GyeongBuk Province)

  • 이상호;송경환
    • 한국유기농업학회지
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    • 제21권4호
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    • pp.487-500
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    • 2013
  • The purpose of this study is to estimate efficiency of environmental-friendly agricultural product by using Data Envelopment Analysis. A proposed method employs a bootstrapping approach to generating efficiency estimates through Monte Carlo simulation resampling process. The technical efficiency, pure technical efficiency, and scale efficiency measure of strawberry by pesticide-free certification is 0.967, 0.995, 0.968 respectively. However those of bias-corrected estimates are 0.918, 0.983, 0.934. We know that the DEA estimator is an upward biased estimator. In technical efficiency, average lower and upper confidence bounds of 0.807 and 0.960. According to these results, the DEA bootstrapping model used here provides bias-corrected and confidence intervals for the point estimates, it is more preferable.

시변시간지연을 가지는 네트워크기반 제어시스템의 H2 제어기 설계 (H2 controller Design for Networked Contorl Systems with Time-Varying Delay)

  • 이홍희;노영식;강희준;서영수
    • 제어로봇시스템학회논문지
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    • 제10권12호
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    • pp.1196-1201
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    • 2004
  • H₂ controller is proposed for networked control systems with time-varying delay. The time-varying network delay is assumed to be unknown, but its lower and upper bounds are assumed to be known. The time-varying delay is treated like a parameter variation and robust control technique is used to deal with the time-varying delay. The proposed controller can be computed by solving linear matrix inequalities. Through numerical simulations, the proposed controller is verified.

SOME INEQUALITIES FOR THE HARMONIC TOPOLOGICAL INDEX

  • MILOVANOVIC, E.I.;MATEJIC, M.M.;MILOVANOVIC, I.Z.
    • Journal of applied mathematics & informatics
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    • 제36권3_4호
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    • pp.307-315
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    • 2018
  • Let G be a simple connected graph with n vertices and m edges, with a sequence of vertex degrees $d_1{\geq}d_2{\geq}{\cdots}{\geq}d_n$ > 0. A vertex-degree topological index, referred to as harmonic index, is defined as $H={\sum{_{i{\sim}j}}{\frac{2}{d_i+d_j}}$, where i ~ j denotes the adjacency of vertices i and j. Lower and upper bounds of the index H are obtained.

장기전원계획에 있어서 수력운전을 고려한 운전비용 계산모형 (Production Costing Model Including Hydroelectric Plants in Long-range Generation Expansion Planning)

  • 신형섭;박영문
    • 대한전기학회논문지
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    • 제36권2호
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    • pp.73-79
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    • 1987
  • This paper describes a new algorithm to evaluate the production cost for a generation system including energy-limited hydroelectric plants. The algorithm is based upon the analytical production costing model developed under the assumption of Gaussian probabilistic distribution of random load fluctuations and plant outages. Hydro operation and pumped storage operation have been dealt with in the previous papers using the concept of peak-shaving operation. In this paper, the hydro problem is solved by using a new version of the gradient projection method that treats the upper / lower bounds of variables saparately and uses a specified initial active constraint set. Accuracy and validity of the algorithm are demonstrated by comparing the result with that of the peak-shaving model.

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와이블과정을 응용한 신뢰성 성장 모형에서의 MTBF 추정$^+$ (MTBF Estimator in Reliability Growth Model with Application to Weibull Process)

  • 이현우;김재주;박성현
    • 품질경영학회지
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    • 제26권3호
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    • pp.71-81
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    • 1998
  • In reliability analysis, the time difference between the expected next failure time and the current failure time or the Mean Time Between Failure(MTBF) is of significant interest. Until recently, in reliability growth studies, the reciprocal of the intensity function at current failure time has been used as being equal to MTBE($t_n$)at the n-th failure time $t_n$. That is MTBF($t_n$)=l/$\lambda (t_n)$. However, such a relationship is only true for Homogeneous Poisson Process(HPP). Tsokos(1995) obtained the upper bound and lower bound for the MTBF($t_n$) and proposed an estimator for the MTBF($t_n$) as the mean of the two bounds. In this paper, we provide the estimator for the MTBF($t_n$) which does not depend on the value of the shape parameter. The result of the Monte Carlo simulation shows that the proposed estimator has better efficiency than Tsokos's estimator.

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수정(修正)된 다중선택(多重選択) 배낭문제(背囊問題)의 해법(解法)에 관한 연구(硏究) (A Study on the Modified Multiple Choice Knapsack Problem)

  • 원중연;정성진
    • 대한산업공학회지
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    • 제9권2호
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    • pp.3-8
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    • 1983
  • The multiple choice knapsack problem is modified. To solve this modified multiple choice knapsack problem, Lagrangian relaxation is used, and to take advantage of the special structure of subproblems obtained by decomposing this relaxed Lagrangian problem, a modified ranking algorithm is used. The K best rank order solutions obtained from each subproblem as a result of applying modified ranking algorithm are used to formulate restricted problems of the original problem. The optimality for the original problem of solutions obtained from the restricted problems is judged from the upper bound and lower bounds calculated iteratively from the relaxed problem and restricted problems, respectively.

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COMMUTING ELEMENTS WITH RESPECT TO THE OPERATOR Λ IN INFINITE GROUPS

  • Rezaei, Rashid;Russo, Francesco G.
    • 대한수학회보
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    • 제53권5호
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    • pp.1353-1362
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    • 2016
  • Using the notion of complete nonabelian exterior square $G\hat{\wedge}G$ of a pro-p-group G (p prime), we develop the theory of the exterior degree $\hat{d}(G)$ in the infinite case, focusing on its relations with the probability of commuting pairs d(G). Among the main results of this paper, we describe upper and lower bounds for $\hat{d}(G)$ with respect to d(G). Here the size of the second homology group $H_2(G,\mathbb{Z}_p)$ (over the p-adic integers $\mathbb{Z}_p$) plays a fundamental role. A further result of homological nature is placed at the end, in order to emphasize the influence of $H_2(G,\mathbb{Z}_p)$ both on G and $\hat{d}(G)$.

구속조건의 가용성을 보장하는 신경망기반 근사최적설계 (BPN Based Approximate Optimization for Constraint Feasibility)

  • 이종수;정희석;곽노성
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.141-144
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    • 2007
  • Given a number of training data, a traditional BPN is normally trained by minimizing the absolute difference between target outputs and approximate outputs. When BPN is used as a meta-model for inequality constraint function, approximate optimal solutions are sometimes actually infeasible in a case where they are active at the constraint boundary. The paper describes the development of the efficient BPN based meta-model that enhances the constraint feasibility of approximate optimal solution. The modified BPN based meta-model is obtained by including the decision condition between lower/upper bounds of a constraint and an approximate value. The proposed approach is verified through a simple mathematical function and a ten-bar planar truss problem.

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도시부 도로 네트워크에서 교통신호제어와 결합된 경로기반 통행배정 모형 연구 (A Methodology of Path based User Equilibrium Assignment in the Signalized Urban Road Networks)

  • 한동희;박준환;이영인;임강원
    • 대한교통학회지
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    • 제26권2호
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    • pp.89-100
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    • 2008
  • 교통신호와 개별 통행자의 경로선택은 서로 상호작용하는 관계이다. 통행자의 경로 선택은 교통신호에 따라 결정될 수 있으며 또한 최적의 교통신호 역시 이동류별 교통량에 따라 달라지게된다. 본 연구는 양방향 링크를 포함하는 4현시 교차로로 구성된 네트워크에서 모든 이동류에 대하여 교통신호의 영향을 반영할 수 있는 통행배정 모형을 구축하고 이를 신호최적화 문제와 결합하여 네트워크의 총 지체를 최소화하는 신호제어변수와 통행배정 결과를 산출하는 모형을 bi-level problem으로 구축하였다. 본 연구에서 사용된 경로기반 통행배정 모형은 M.H. Xu 등이 제한한 Column Generation 방법의 일종인 heuristic Equilibrium Assignment 기법을 기반으로 하여 교차로의 이동류별 통행비용을 고려할 수 있도록 수정하여 구성하였으며 지체최소화를 목적함수로하는 신호최적화 방법론으로는 Genetic Algorithm을 사용하였다. 본 모형을 모의네트워크에 적용하여 실험한 결과 네트워크의 통행비용함수를 최소화하는 신호변수와 통행자의 경로선택 결과를 산출하였다.

ON THE FLUCTUATION IN THE RANDOM ASSIGNMENT PROBLEM

  • Lee, Sung-Chul;Su, Zhong-Gen
    • 대한수학회논문집
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    • 제17권2호
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    • pp.321-330
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    • 2002
  • Consider the random assignment (or bipartite matching) problem with iid uniform edge costs t(i, j). Let $A_{n}$ be the optimal assignment cost. Just recently does Aldous [2] give a rigorous proof that E $A_{n}$ longrightarrowζ(2). In this paper we establish the upper and lower bounds for Var $A_{n}$ , i.e., there exist two strictly positive but finite constants $C_1$ and $C_2$ such athat $C_1$ $n^{(-5}$2)/ (log n)$^{(-3}$2)/ $\leq$ Var $A_{n}$ $\leq$ $C_2$ $n^{-1}$ (log n)$^2$.EX>.