• 제목/요약/키워드: Constraint programming

검색결과 261건 처리시간 0.029초

Hop 제약조건이 고려된 최적화 웹정보검색 (Optimized Structures with Hop Constraints for Web Information Retrieval)

  • 이우기;김기백;이화기
    • 한국경영과학회지
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    • 제33권4호
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    • pp.63-82
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    • 2008
  • The explosively growing attractiveness of the Web is commencing significant demands for a structuring analysis on various web objects. The larger the substantial number of web objects are available, the more difficult for the clients(i.e. common web users and web robots) and the servers(i.e. Web search engine) to retrieve what they really want. We have in mind focusing on the structure of web objects by introducing optimization models for more convenient and effective information retrieval. For this purpose, we represent web objects and hyperlinks as a directed graph from which the optimal structures are derived in terms of rooted directed spanning trees and Top-k trees. Computational experiments are executed for synthetic data as well as for real web sites' domains so that the Lagrangian Relaxation approaches have exploited the Top-k trees and Hop constraint resolutions. In the experiments, our methods outperformed the conventional approaches so that the complex web graph can successfully be converted into optimal-structured ones within a reasonable amount of computation time.

Reliability-Based Design Optimization using Semi-Numerical Strategies for Structural Engineering Applications

  • Kharmanda, G.;Sharabatey, S.;Ibrahim, H.;Makhloufi, A.;Elhami, A.
    • International Journal of CAD/CAM
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    • 제9권1호
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    • pp.1-16
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    • 2010
  • When Deterministic Design Optimization (DDO) methods are used, deterministic optimum designs are frequently pushed to the design constraint boundary, leaving little or no room for tolerances (or uncertainties) in design, manufacture, and operating processes. In the Reliability-Based Design Optimization (RBDO) model for robust system design, the mean values of uncertain system variables are usually used as design variables, and the cost is optimized subject to prescribed probabilistic constraints as defined by a nonlinear mathematical programming problem. Therefore, a RBDO solution that reduces the structural weight in uncritical regions does not only provide an improved design but also a higher level of confidence in the design. In this work, we seek to improve the quality of RBDO processes using efficient optimization techniques with object of improving the resulting objective function and satisfying the required constraints. Our recent RBDO developments show its efficiency and applicability in this context. So we present some recent structural engineering applications demonstrate the efficiency of these developed RBDO methods.

Optimization of Triple Response Systems by Using the Dual Response Approach and the Hooke-Jeeves Search Method

  • Fan, Shu-Kai S.;Huang, Chia-Fen;Chang, Ko-Wei;Chuang, Yu-Chiang
    • Industrial Engineering and Management Systems
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    • 제9권1호
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    • pp.10-19
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    • 2010
  • This paper presents an extended computing procedure for the global optimization of the triple response system (TRS) where the response functions are nonconvex (nonconcave) quadratics and the input factors satisfy a radial region of interest. The TRS arising from response surface modeling can be approximated using a nonlinear mathematical program involving one primary (objective) function and two secondary (constraints) functions. An optimization algorithm named triple response surface algorithm (TRSALG) is proposed to determine the global optimum for the nondegenerate TRS. In TRSALG, the Lagrange multipliers of target (secondary) functions are computed by using the Hooke-Jeeves search method, and the Lagrange multiplier of the radial constraint is located by using the trust region (TR) method at the same time. To ensure global optimality that can be attained by TRSALG, included is the means for detecting the degenerate case. In the field of numerical optimization, as the family of TR approach always exhibits excellent mathematical properties during optimization steps, thus the proposed algorithm can guarantee the global optimal solution where the optimality conditions are satisfied for the nondegenerate TRS. The computing procedure is illustrated in terms of examples found in the quality literature where the comparison results with a gradient-based method are used to calibrate TRSALG.

비선형 분산안전법을 이용한 최적장기송전계률 알고리 (Optimal Long-term Transmission Planning Algorithm using Non-linear Branch-and-bound Method)

  • 박영문;신중린
    • 대한전기학회논문지
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    • 제37권5호
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    • pp.272-281
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    • 1988
  • The problem of optimal transmission system planning is to find the most economical locations and time of transmission line construction under the various constraints such as available rights-of-way, finances, the technical characteristics of power system, and the reliability criterion of power supply, and so on. In this paper the constraint of right-of-way is represented as a finite set of available rights-of-way. And the constructed for a unit period. The electrical constraints are represented in terms of line overload and steady state stability margin. And the reliability criterion is dealt with the suppression of failure cost and with single-contingency analysis. In general, the transmission planning problem requires integer solutions and its objective function is nonlinear. In this paper the objective function is defined as a sum of the present values of construction cost and the minimum operating cost of power system. The latter is represented as a sum of generation cost and failure cost considering the change of yearly load, economic dispatch, and the line contingency. For the calculation of operating cost linear programming is adopted on the base of DC load flow calculation, and for the optimization of main objective function nonlinear Branch-and-Bound algorithm is used. Finally, for improving the efficiency of B & B algorithm a new sensitivity analysis algorithm is proposed.

A Basic Study on Composite Power System Expansion Planning Considering Probabilistic Reliability Criteria

  • Choi, Jae-Seok;Tinh, TranTrung;Kim, Hyung-Chul;El-Keib, A.;Thomas, R.;Billinton, R.
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 추계학술대회 논문집 전력기술부문
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    • pp.297-300
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    • 2004
  • This paper proposes a method for choosing the best composite power system expansion plan considering probabilistic reliability criterion. The proposed method was modeled as the minimization of the investment budget (economics) for constructing new transmission lines subject to not only deterministic(demand constraint) but also probabilistic reliability criterion(LOLE) with considering the uncertainties of the system elements. This is achieved by modeling the power system expansion problem as an integer programming one. The method solves for the optimal strategy using a probabilistic theory based branch and bound method that utilizes a network flow approach and the maximum flow-minimum cut set theorem. Although the proposed method is applied to a simple sample study, the test results demonstrate a fact that the proposed method is suitable for solving the power system expansion planning problem subject to practical uncertainties for future.

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Joint Opportunistic Spectrum Access and Optimal Power Allocation Strategies for Full Duplex Single Secondary User MIMO Cognitive Radio Network

  • Yue, Wenjing;Ren, Yapeng;Yang, Zhen;Chen, Zhi;Meng, Qingmin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제9권10호
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    • pp.3887-3907
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    • 2015
  • This paper introduces a full duplex single secondary user multiple-input multiple-output (FD-SSU-MIMO) cognitive radio network, where secondary user (SU) opportunistically accesses the authorized spectrum unoccupied by primary user (PU) and transmits data based on FD-MIMO mode. Then we study the network achievable average sum-rate maximization problem under sum transmit power budget constraint at SU communication nodes. In order to solve the trade-off problem between SU's sensing time and data transmission time based on opportunistic spectrum access (OSA) and the power allocation problem based on FD-MIMO transmit mode, we propose a simple trisection algorithm to obtain the optimal sensing time and apply an alternating optimization (AO) algorithm to tackle the FD-MIMO based network achievable sum-rate maximization problem. Simulation results show that our proposed sensing time optimization and AO-based optimal power allocation strategies obtain a higher achievable average sum-rate than sequential convex approximations for matrix-variable programming (SCAMP)-based power allocation for the FD transmission mode, as well as equal power allocation for the half duplex (HD) transmission mode.

Ontology for estimating excavation duration for smart construction of hard rock tunnel projects under resource constraint

  • Yang, Shuhan;Ren, Zhihao;Kim, Jung In
    • 국제학술발표논문집
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    • The 9th International Conference on Construction Engineering and Project Management
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    • pp.222-229
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    • 2022
  • Although stochastic programming and feedback control approaches could efficiently mitigate the overdue risks caused by inherent uncertainties in ground conditions, the lack of formal representations of planners' rationales for resource allocation still prevents planners from applying these approaches due to the inability to consider comprehensive resource allocation policies for hard rock tunnel projects. To overcome the limitations, the authors developed an ontology that represents the project duration estimation rationales, considering the impacts of ground conditions, excavation methods, project states, resources (i.e., given equipment fleet), and resource allocation policies (RAPs). This ontology consists of 5 main classes with 22 subclasses. It enables planners to explicitly and comprehensively represent the necessary information to rapidly and consistently estimate the excavation durations during construction. 10 rule sets (i.e., policies) are considered and categorized into two types: non-progress-related and progress-related policies. In order to provide simplified information about the remaining durations of phases for progress-related policies, the ontology also represents encoding principles. The estimation of excavation schedules is carried out based on a hypothetical example considering two types of policies. The estimation results reveal the feasibility, potential for flexibility, and comprehensiveness of the developed ontology. Further research to improve the duration estimation methodology is warranted.

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온톨로지 Open World 추론과 규칙 Closed World 추론의 통합 (Integration of Ontology Open-World and Rule Closed-World Reasoning)

  • 최정화;박영택
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제37권4호
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    • pp.282-296
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    • 2010
  • OWL 온톨로지는 실세계의 도메인 지식을 모델링 하는데 적합하다. 또한 명백하게 정의된 지식으로부터 암시적인 새로운 지식을 추론할 수 있다. 하지만 이 모델링된 지식은 완전할 수 없다. 사람이 가지고 있는 모든 상식을 모델링 할 수 없기 때문이다. 온톨로지는 완전한 지식표현을 위한 무결성 제약조건과 예외 처리와 같은 비단조 추론을 지원할 방법이 없다. 디폴트 규칙은 온톨로지 안의 특정 클래스에 대한 예외를 처리할 수 있다. 또한 무결성 제약은 온톨로지에 정의된 클래스의 제한조건(restriction)에 인스턴스가 일관되게 할 수 있다. 본 논문에서는 Open World Assumption(OWA) 기반의 온톨로지와 Closed World Assumption(CWA) 기반의 비단조 추론을 지원하는 규칙의 지식베이스를 통합하여 Open World 와 Closed World 추론을 모두 지원하는 실질적인 추론 시스템을 제안한다. 이 시스템은 온톨로지에 정의된 불완전한 개념을 다룰 때 OWA기반이라서 발생하는 문제점을 ASP(Answer Set Programming)를 사용하여 해결방안을 제안한다. ASP는 논리 프로그래밍 언어로써 비단조 추론을 허용하며, 서술 논리 지식베이스에 CWA 기반의 질의를 가능하게 한다. 제안하는 시스템은 Protege에서 제공하는 Pizza 온톨로지를 예로써 비단조 추론이 필요한 경우를 보이고, 잘 알려진 온톨로지들로 성능 평가하여 본 시스템의 정당(sound)하고 완전(complete)함을 증명한다.

비균일 수렴허용오차 방법을 이용한 분지한계법 개선에 관한 연구 (A Non-Uniform Convergence Tolerance Scheme for Enhancing the Branch-and-Bound Method)

  • 정상진;;최경현;최동훈
    • 대한기계학회논문집A
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    • 제36권4호
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    • pp.361-371
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    • 2012
  • 혼합이산비선형계획법(mixed-discrete nonlinear programming) 문제의 최적화를 위한 대표적인 기법 중에 하나인 분지한계법(branch-and-bound method)은 다른 기법에 비해 강건하지만 분지한계법 내부의 각 노드마다 연속최적화를 수행해야 하기 때문에 많은 함수 계산이 요구되는 것으로 알려져 있다. 이러한 분지한계법의 단점을 극복하기 위하여 크게 두 가지 연구를 수행하였다. 먼저, 분지한계법의 각 노드마다 동일한 수렴허용오차를 설정해주던 기존의 방법을 대체할 수 있는 비균일 수렴허용오차 방법을 제안하였다. 또한 분지한계법에 적용할 수 있는 5 가지 분지순서 방법 중에서 분지한계법의 성능을 가장 극대화할 수 있는 분지순서 방법을 제시하였다. 수렴허용오차 방법과 분지순서 방법들을 각각 선택하여 분지한계법에 적용한 후 7 개의 수학예제와 4 개의 공학예제에 대하여 테스트를 수행한 결과, 제안된 비균일 수렴허용오차 방법과 5 가지 분지순서 방법 중 최소간 격차이법을 분지한계법에 함께 적용할 경우 분지한계법의 성능이 가장 극대화 됨을 확인할 수 있었다.

선형계획법을 이용한 H 아리수 정수 센터 최적 취수량 결정 (Determination of Optimal Hourly Water Intake Amount for H Arisu Purification Center using Linear Programming)

  • 이철수;이강원
    • 한국수자원학회논문집
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    • 제48권12호
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    • pp.1051-1064
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    • 2015
  • 본 논문은 선형계획모형을 이용하여 H 아리수 정수 센터의 최적 취수량 결정 방법을 연구 하였다. 현재 H 아리수 센터에서는 관리자의 경험과 숙련도에 의지하여 취수량을 결정하고 있다. 그런데 매시 변하는 수요를 만족 시키면서 시간대별로 요금이 서로 다른 전력의 사용을 최소화 하는 취수량 결정은 근무자들의 경험과 숙련도를 넘어서는 간단한 문제가 아니다. 따라서 수리적 기법 중 하나인 선형계획모형을 이용해 취수량을 결정하고, 비용 절감을 시도하였다. 본 연구에서 제안한 선형계획 모형은 수요예측치를 기본 입력자료로 사용하고 있는데 예측오차가 발생할 경우 정수지 높이 제한을 위반하는 경우가 발생한다. 이를 해결하기 위해서는 정확한 수요예측이 선행되어야 한다. 그러나 아무리 좋은 예측 기법을 사용하더라도 실수요와 오차는 있게 마련이고 이는 여전히 높이 제한의 제약을 만족 시키지 못하는 결과를 불러일으킨다. 따라서 예측오차를 수용 할 수 있는 안전 마진 상수를 이용한 대안을 제안하였다. 본 연구에서 제안한 선형 계획 모형을 통한 취수량 결정은 수위 모니터링을 위해 항시 작업자가 근무 할 필요가 없기 때문에 인건비 면에서도 많은 절약이 예측되어 총 비용 감축은 훨씬 더 많으리라 기대된다.