• 제목/요약/키워드: minimum cost

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콘벡스 비용함수를 갖는 점-대-다중점 최소비용 흐름문제 (Point-to-Multipoint Minimum Cost Flow Problem with Convex Cost Function)

  • 박구현;신용식
    • 한국경영과학회지
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    • 제25권4호
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    • pp.15-25
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    • 2000
  • In this paper, we introduce a point-to-multipoint minimum cost flow problem with convex and demand splitting. A source node transmits the traffic along the tree that includes members of the point-to-multipoint connection. The traffic is replicated by the nodes only at branch points of the tree. In order to minimize the sum of arc costs, we assume that the traffic demand can be splitted and transmitted to destination nodes along different trees. If arc cost is linear, the problem would be a Steiner tree problem in networks eve though demand splitting is permitted. The problem would be applied in transmitting large volume of traffic from a serve to clients in Internet environments. Optimality conditions of the problem are presented in terms of fair tree routing. The proposed algorithm is a finite terminating algorithm for $\varepsilon$-optimal solution. convergence of the algorithm is obtained under monotonic condition and strict convexity of the cost function. Computational experiences are included.

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공공차량 경로문제 해법연구 (Public Vehicle Routing Problem Algorithm)

  • 장병만;박순달
    • 한국경영과학회지
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    • 제14권2호
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    • pp.53-66
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    • 1989
  • The Public Vehicle Routing Problem (PVRP) is to find the minimum total cost routes of M or less Public-Vehicles to traverse the required arcs(streets) at least once, and return to their starting depot on a directed network. In this paper, first, a mathematical model is formulated as minimal cost flow model with illegal subtour elimination constraints, and with the fixed cost and routing cost as an objective function. Second, an efficient branch and bound algorithm is developed to obtain an exact solution. A subproblem in this method is a minimal cost flow problem relaxing illegal subtour elimination constraints. The branching strategy is a variable dichotomy method according to the entering nonrequired arcs which are candidates to eneter into an illegal subtour. To accelerate the fathoming process, a tighter lower bound of a candidate subproblem is calculated by using a minimum reduced coast of the entering nonrequired arcs. Computational results based on randomly generated networks report that the developed algorithm is efficient.

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최소 유틸리티 및 장치비를 위한 최적 열 교환망 합성 (Optimal Heat Exchanger Network Synthesis for Minimum Equipment Cost)

  • 김경숙;조영상;김호기
    • 에너지공학
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    • 제1권1호
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    • pp.87-96
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    • 1992
  • 열교환기의 설치비 및 연간 비용에 주된 영향을 미치는 유틸리티의 소비와 열 교환 장치 수의 최소화를 목적으로 하여 경험법칙을 기초로 한 열교환망 합성 방법을 제안하였다. 본 연구에서 제안하는 열교환망 합성 알고리즘의 특징은 축소된 부문제 생성 기법과 부문제의 해를 구하는 방법에 있으며, 제안한 방법을 문헌에 실린 열교환망 합성 문제에 적용한 결과 이전의 결과보다 열교환장치 및 흐름의 분기등이 감소한 결과를 얻음으로써 본 방법의 우수성을 확인할 수 있었다.

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물리적 다중 보안 등급 네트워크 설계를 위한 GOSST 휴리스틱 메커니즘 (A GOSST Heuristic Mechanism for the Design of a Physical Multiple Security Grade Network)

  • 김인범;김재각
    • 한국통신학회논문지
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    • 제32권12B호
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    • pp.728-734
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    • 2007
  • 본 논문에서는 최소 구축비용의 물리적 다중 보안 등급 네트워크 설계를 위한 GOSST 휴리스틱 메커니즘을 제안한다. 다중 보안 등급 네트워크상에서 각 노드는 원하는 보안 등급으로 다른 노드와 통신할 수 있다. 이를 위해서는 불법적인 물리적 접근을 통제할 수 있는 방법이 필요하다. 이러한 네트워크를 최소비용으로 구축하기 위해 GOSST 문제를 적용한다. 이 문제는 NP-Hard 영역이므로 현실적인 해를 얻기 위해서는 적절한 복잡도의 휴리스틱이 필요하다. 본 연구에서는 최소 구축비용의 물리적 다중 보안 등급 네트워크의 설계를 위해, 우리의 이전 거리 직접 GOSST 휴리스틱을 변형한 GOSST 휴리스틱 메커니즘을 제안한다. 이것은 실험 비교 대상인 G-MST에 대하여 평균 29.5%의 구축비용 절감을 보였다.

자기회귀 잡음모델을 가진 플랜트의 일반화 최소분산제어 (Generalized minimum variance control of plant with autoregressive noise model)

  • 박정일;최계근
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1986년도 한국자동제어학술회의논문집; 한국과학기술대학, 충남; 17-18 Oct. 1986
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    • pp.370-372
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    • 1986
  • In this paper we propose a Generalized Minimum Variance Self-tuning Control of the system with an autoregressive noise model. To establish a Generalized Minimum Variance Control, the control input is also included in a cost function and a novel identity is introduced. The effectiveness of this algorithm is demonstrated by the computer simulation.

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수서곤충 군집분석에 있어서 최적표본크기의 결정 - 방태천 모형 (Determination on the Optimal Sample Size in the Aquatic Insect Community Analysis - Pangtae Creek Model)

  • 윤일병;노태호;이성진;박재홍;배연재
    • The Korean Journal of Ecology
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    • 제21권5_1호
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    • pp.409-418
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    • 1998
  • A molel study was conducted to determine the optimal sample size for the analysis of the aquatic insect community in a stream reach of the Pangtae Creek, Kangwon-do in October 1995 and may 1996. The results showed that the required minimum sample size varied and depended on the purposes of the community analysis. Acoording to the Species: Area Curve method, at least 16 Surber samplings ($30{\times}30cm$) were required in a stream reach in each spring and fall survey. The species diversity index did not vary significantly as the sample size increased. Based on the coefficient of variation analysis, the minimum sample sizes of 10 were required in order to compare seasonal differences of the community in the study area. Considering the static community structure of aquatic insects, including both species numbers and individual numbers of aquatic insects, 11 and 7 samplings were optimal sizes for the fall and spring survey, respectively. We concluded that 12 Surber samplings from 3 riffle-pool sequences (4 samplings at each riffle-pool sequence) would be required in a stream reach (length 1 km) to obtain reliable as well as cost efficient data. Our model showed that the optimal sample size should be determined by interactions between minimum sample size, the degree of data reliability, and cost efficiency.

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최소생애주기비용을 위한 PSC보 보강의 최적설계 (Optimal Design of the PSC Beam Reinforcement for Minimum Life-Cycle Cost)

  • 방명식;한성호
    • 한국안전학회지
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    • 제23권5호
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    • pp.125-130
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    • 2008
  • PSC보의 보강 시에 안전도분석을 위한 신뢰성해석과 생애주기비용을 최소화하기 위만 최적설계를 실시하였다. 신뢰성해석은 현재 공용중인 표준단면을 변형시키면서 실시하며 자연적 불확실성과 인위적 불확실성을 고려하였다. 자연적(내재적) 불확실성을 고려하여 최소생애주기비용을 구한 후에, 인위적 불확실성을 최대 90%의 분산까지 고려하여 재해석을 실시하였다. 보강방법에 대한 신뢰성해석과 최소생애주기비용해석은 보강방법을 결정하는데 매우 합리적인 기준을 제시하였다.

Evolutionary Network Optimization: Hybrid Genetic Algorithms Approach

  • Gen, Mitsuo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 ISIS 2003
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    • pp.195-204
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    • 2003
  • Network optimization is being increasingly important and fundamental issue in the fields such as engineering, computer science, operations research, transportation, telecommunication, decision support systems, manufacturing, and airline scheduling. Networks provide a useful way to modeling real world problems and are extensively used in practice. Many real world applications impose on more complex issues, such as, complex structure, complex constraints, and multiple objects to be handled simultaneously and make the problem intractable to the traditional approaches. Recent advances in evolutionary computation have made it possible to solve such practical network optimization problems. The invited talk introduces a thorough treatment of evolutionary approaches, i.e., hybrid genetic algorithms approach to network optimization problems, such as, fixed charge transportation problem, minimum cost and maximum flow problem, minimum spanning tree problem, multiple project scheduling problems, scheduling problem in FMS.

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기계가공시 분당가공비를 고려한 최적 절삭 조건에 관한 연구 (A study on automatic selection of optimal cutting condition on machining in view of economics)

  • 이길우;이용성
    • 오토저널
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    • 제14권6호
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    • pp.113-126
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    • 1992
  • Recently the multi-kind, small-amount manufacturing system has been replacing the mass manufacturing system, and domestic machining inustry also is eager to absorb the new technology because of its high productivity and cost reduction. The optimization of the cutting condition has been a vital problem in the machining industry, which would help increase the productivity and raise the international competitiveness. It is intended in this study to investigate the machining costs per unit time which is essential to the analysis of the optimal cutting condition, to computer the cutting speed that lead to the minimum machining costs and the maximum production to suggest the cutting speed range that enables efficient speed cutting, and to review the machining economy in relation to cutting depth and feed. Also considered are the optimal cutting speed and prodution rated in rrelation with feed. It is found that the minimum-cost cutting speed increases and the efficient cutting speed range is reduced as machining cost per unit time increases since the cutting speed for maximum production remains almost constant. The machining cost is also lowered and the production rate increases as the feed increases, and the feed should be selected to satisfy the required surface roughness. The machining cost and production rate are hardly affected by the cutting depth if the cutting speed stays below 100m/min, however, they are subject to change at larger cutting depth and the high-efficient speed range also is restricted. It can be established an adaptive optimal cutting conditions can be established in workshop by the auto-selection progam for optimal operation. It is expected that this method for choosing the optimal cutting conditions might contribute to the improvement of the productivity and reduced the cost. It is highly recommended to prepare the optimal cutting conditionthus obtained for future use in the programing of G-function of CNC machines. If proper programs that automatically select the optimal cutting conditions should be developed, it would be helpful to the works being done in the machine shops and would result in noticeable production raise and cost reduction.

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6LoWPAN을 위한 최소경로비용 라우팅 프로토콜에 관한 연구 (A Study on the Minimum Route Cost Routing Protocol for 6LoWPAN)

  • 김원근;김중규
    • 한국산업정보학회논문지
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    • 제15권1호
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    • pp.1-14
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    • 2010
  • 최근 무선센서네트워크 환경에서는, 네트워크의 확장성 및 이동성을 제공하고 외부 인터넷망과 연동할 수 있는 기술이 큰 이슈가 되고 있다. 현재 IPv6 기반의 저전력 무선 센서네트워크 기술인 6LoWPAN (IPv6 over Low-power Wireless Personal Area Network) 기술이 IETF에서 표준화 되고 있다. 본 논문에서는 6LoWPAN 환경에서 사용하기 위한 라우팅 프로토콜서, LOAD를 기반으로 하여 Link Qualities 값에 따른 패킷 재전송률을 경로 비용으로 활용하여 경로를 결정함으로서 최소 패킷 재전송이 이루어지는 최소경로비용 라우팅 프로토콜(MCL; Minimum route Cost routing protocol for 6Lowpan)을 제안하였다. 제안한 기법은 LOAD와 AODV 비해 각각 평균적으로 약 13%, 약 16% 정도 에너지 소비가 적은 것으로 실험을 통해 확인하였고, 전체 네트워크의 에너지를 고르게 사용하여 에너지 효율성이 우수하고, 네트워크 라이프타임이 향상됨을 알 수 있다.