• 제목/요약/키워드: The Constraint Programming

검색결과 260건 처리시간 0.021초

MIXED TYPE DUALITY FOR A PROGRAMMING PROBLEM CONTAINING SUPPORT FUNCTION

  • Husain, I.;Jabeen, Z.
    • Journal of applied mathematics & informatics
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    • 제15권1_2호
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    • pp.211-225
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    • 2004
  • A mixed type dual to a programming problem containing support functions in a objective as well as constraint functions is formulated and various duality results are validated under generalized convexity and invexity conditions. Several known results are deducted as special cases.

덮개 함수를 이용한 제한 조건 누적 최적화 기법에 관한 연구 (A Study on Constraint Accumulation in Mathematical Programming Problems Using Envelope Functions)

  • 이병채;이정준
    • 대한기계학회논문집A
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    • 제26권4호
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    • pp.720-730
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    • 2002
  • Automated design of large structures requires efficient and accurate optimization algorithms because of a large number of design variables and design constraints. The objective of this study is to examine the characteristics of the Kreisselmeier -Steinhauser envelope function and to investigate va tidily of accumulating constraint functions into a small number of constraint functions or even into a single constraint function. The commercial package DOT is adopted as a local optimizer. The optimum results using the envelope function are compared with those of the conventional method for a number of numerical examples and the differences between them are shown to be negligible.

CONTINUOUS PROGRAMMING CONTAINING SUPPORT FUNCTIONS

  • Husain, I.;Jabeen, Z.
    • Journal of applied mathematics & informatics
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    • 제26권1_2호
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    • pp.75-106
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    • 2008
  • In this paper, we derive necessary optimality conditions for a continuous programming problem in which both objective and constraint functions contain support functions and is, therefore, nondifferentiable. It is shown that under generalized invexity of functionals, Karush-Kuhn-Tucker type optimality conditions for the continuous programming problem are also sufficient. Using these optimality conditions, we construct dual problems of both Wolfe and Mond-Weir types and validate appropriate duality theorems under invexity and generalized invexity. A mixed type dual is also proposed and duality results are validated under generalized invexity. A special case which often occurs in mathematical programming is that in which the support function is the square root of a positive semidefinite quadratic form. Further, it is also pointed out that our results can be considered as dynamic generalizations of those of (static) nonlinear programming with support functions recently incorporated in the literature.

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Energy-efficient Positioning of Cluster Heads in Wireless Sensor Networks

  • Sohn, Surg-Won;Han, Kwang-Rok
    • 전기전자학회논문지
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    • 제13권1호
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    • pp.71-76
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    • 2009
  • As one of the most important requirements for wireless sensor networks, prolonging network lifetime can be realized by minimizing energy consumption in cluster heads as well as sensor nodes. While most of the previous researches have focused on the energy of sensor nodes, we devote our attention to cluster heads because they are most dominant source of power consumption in the cluster-based sensor networks. Therefore, we seek to minimize energy consumption by minimizing the maximum(MINMAX) energy dissipation at each cluster heads. This work requires energy-efficient clustering of the sensor nodes while satisfying given energy constraints. In this paper, we present a constraint satisfaction modeling of cluster-based routing in a heterogeneous sensor networks because mixed integer programming cannot provide solutions to this MINMAX problem. Computational experiments show that substantial energy savings can be obtained with the MINMAX algorithm in comparison with a minimum total energy(MTE) strategy.

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Robust Energy Efficiency Power Allocation for Uplink OFDM-Based Cognitive Radio Networks

  • Zuo, Jiakuo;Dao, Van Phuong;Bao, Yongqiang;Fang, Shiliang;Zhao, Li;Zou, Cairong
    • ETRI Journal
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    • 제36권3호
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    • pp.506-509
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    • 2014
  • This paper studies the energy efficiency power allocation for cognitive radio networks based on uplink orthogonal frequency-division multiplexing. The power allocation problem is intended to minimize the maximum energy efficiency measured by "Joule per bit" metric, under total power constraint and robust aggregate mutual interference power constraint. However, the above problem is non-convex. To make it solvable, an equivalent convex optimization problem is derived that can be solved by general fractional programming. Then, a robust energy efficiency power allocation scheme is presented. Simulation results corroborate the effectiveness of the proposed methods.

A CP-BASED OPTIMIZATION MODEL FOR CONSTRUCTION RESCHEDULING PROBLEMS

  • Shu-Shun Liu;Kuo-Chuan Shih
    • 국제학술발표논문집
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    • The 1th International Conference on Construction Engineering and Project Management
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    • pp.941-946
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    • 2005
  • It is essential for project managers to make schedule adjustment based on their professional experience, in terms of rescheduling action discussed in this paper. This paper discusses the topics of resource-constrained construction rescheduling by modifying the concepts of manufacturing rescheduling. Moreover, the influence factors of construction rescheduling problems are investigated and identified in this paper. According to initial schedule plan and present progress, a new rescheduling mechanism based on Constraint Programming (CP) techniques is developed to reschedule projects with the objective of minimizing total project cost or duration, under three rescheduling policies. Through case study, the behavior of three different rescheduling policies is analyzed and discussed in this paper.

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개선된 DTW를 통한 효과적인 서명인식 시스템의 제안 (Effect On-line Automatic Signature Verification by Improved DTW)

  • Dong-uk Cho;Gun-hee Han
    • 한국산학기술학회논문지
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    • 제4권2호
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    • pp.87-95
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    • 2003
  • Dynamic Programming Matching (DPM)은 순차적으로 구성된 문제를 수학적으로 최적화 시키는 기술로서 패턴인시 분야에서 다년간 중요한 역할을 해왔다. 서명인식을 위한 대부분의 실제적 적용에서는 Sakoe and Chiba [9]의 실제구현 버전이 기반이 되어 왔는데, 일반적으로 slope constraint p = 0의 방법이 적용되어 왔다. 이 논문에서는 이 경우에는 전진탐색에 의한 휴리스틱한 방법을 적용한 MDPM이 상당한 처리시간의 단축 뿐만 아니라 약간의 인식능력 향상을 가질 수 있음을 보여준다.

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온라인 서명자동인식을 위한 개선된 DTW (The Modified DTW Method for on-line Automatic Signature Verification)

  • 조동욱;배영래
    • 정보처리학회논문지B
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    • 제10B권4호
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    • pp.451-458
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    • 2003
  • Dynamic Programming Matching(DPM)은 순차적으로 구성된 문제를 수학적으로 최적화 시키는 기술로서 패턴인식 분야에서 다년간 중요한 역할을 해왔다. 서명인식을 위한 대부분의 실제적 적용에서는 Sakoe and Chiba [9]의 실제구현 버전이 기반이 되어 왔는데, 일반적으로 slope constraint p = 0의 방법이 적용되어 왔다. 이 논문에서는 이 경우에는 전진탐색에 의한 휴리스틱한 방법을 적용한 MDPM이 상당한 처리 시간의 단축 뿐만 아니라 약간의 인식능력 향상을 가질 수 있음을 보여준다.

선형계획법을 이용한 생태계 기반 TAC 어업관리에 관한 연구 (A Study on Fisheries Management of Ecosystem-Based TAC using a Linear Programming)

  • 서영일;천성훈;김도훈
    • 수산경영론집
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    • 제45권2호
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    • pp.61-72
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    • 2014
  • This study aimed to empirically investigate the applicability of ecosystem-based TAC (Total Allowable Catch) fisheries management targeting the large purse seine fishery where multi-species are regulated by TAC. Using a linear programming, the optimal fishing effort and the catch amount by species which maximize fishing profits were analyzed under the constraint condition of catch limits by species. Analytical results showed that an application of TAC on only chub mackerel would have negative impacts on fish stocks such as hairtail and jack mackerel by increasing the level of fishing effort to achieve its allocated catch limit. However, under the constraint condition of catch limits of all species, it was shown that optimal catches of all species were achieved within their catch limits. It implies the importance of ecosystem-based management considering biological and technical interactions of species those were excluded in the traditional single species fisheries management.

강의 시간표 최적화를 위한 제약 프로그래밍 모델 (A Constraint Programming Model for Lecture Timetable Optimization)

  • 김춘식;황준하
    • 한국컴퓨터정보학회:학술대회논문집
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    • 한국컴퓨터정보학회 2017년도 제55차 동계학술대회논문집 25권1호
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    • pp.13-14
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    • 2017
  • 본 논문에서는 강의 시간표 최적화를 위한 제약 프로그래밍의 적용 방안을 제시한다. 제약 프로그래밍은 제약 만족 문제를 해결하기 위한 기법으로 대상 문제를 결정 변수, 도메인, 제약조건으로 표현한다. 본 논문에서는 시간표 작성 최적화 문제의 결정 변수로 강의실, 요일, 교시를 사용하였으며, 추가로 요일과 교시를 결합한 변수를 사용함으로써 보다 쉽게 제약 조건을 표현할 수 있도록 하였다. 또한 제약 프로그래밍에 의해 도출된 초기해를 또 다시 제약 프로그래밍을 통해 반복적으로 개선함으로써 더 좋은 강의 시간표를 작성할 수 있도록 하였다. 특정 학과의 강의 시간표 문제를 대상으로 한 실험 결과, 본 논문에서 제안한 방법을 통해 보다 빠른 시간 내에 초기해를 도출할 수 있을 뿐 아니라 최종적으로 더 좋은 해의 도출이 가능함을 확인하였다.

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