• Title/Summary/Keyword: 다항함수

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Reconfiguration of Distribution System Using Simulated Annealing (시뮬레이티드 어닐링을 이용한 배전 계통 재구성)

  • 전영재;김재철
    • Proceedings of the Korea Inteligent Information System Society Conference
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    • 1999.03a
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    • pp.195-202
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    • 1999
  • 본 논문은 배전 계통에서 부하 제약조건과 운전 제약조건을 고려한 손실 감소와 부하 평형에 대해 시뮬레이티드 어닐링 알고리즘을 적용한 재구성 방법을 서술하였다. 네트워크 재구성은 수많은 연계 개폐기와 구분 계폐기의 조합에 의해 이루어지기 때문에 조합적인 최적화 문제이다. 이러한 문제는 수많은 조합에 제약조건까지 있어 해를 구하기가 쉽지 않을뿐 아니라 국소 해에 빠질 가능성이 많다. 따라서 신경망 중에서 제약조건에 따라 신경망 구조에 영향을 미치지 않으면서 전역 최소해에 수렴하는 특성을 가진 시뮬레이티드 어닐링 기법을 이용하여 배전 계통의 선로를 재구성하였다. 시뮬레이티드 어닐링은 이론적으로 최적해가 보장되지만 무한대의 시간이 걸리기 때문에 현실적으로 적용할 때 해 공간을 탐색하는 규칙과 온도를 적절히 내리는 냉각 스케줄(cooling schedule)이 중요하다. 본 논문에서는 알고리즘 상에서 제약조건 위한 여부를 점검할 수 있는 제약조건과 페널티 상수(penalty factor)를 통해 목적함수에 반영하는 제약조건으로 나누어 모든 후보해를 가능해가 되게 하였고 기존에 사용되는 Kirkpatrick의 냉각 스케줄 대신에 후보해의 통계적 처리에 의해 온도를 내리는 다항-시간 냉각 스케줄(polynomial-time schedule)을 사용하여 수행시간을 단축하고 수렴성을 높였다. 제안한 알고리즘의 효용성을 입증하기 위해 32,69모선 예제 계통으로 테스트하였다.

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Rearrangement of Sequences through the Generation Principle (생성원리를 통한 수열의 재배열)

  • Kwon, Min-Jeong;Cho, Sung-Jin;Kim, Jin-Gyoung;Choi, Un-Sook
    • The Journal of the Korea institute of electronic communication sciences
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    • v.13 no.1
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    • pp.133-140
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    • 2018
  • In this paper we discover the generation principle of a sequence when the characteristic polynomial of the sequence is a power of a primitive polynomial. With the generation principle, we can rearrange a sequence. Also we get the linear complexity and the required term of the sequence efficiently.

A Study for NHPP software Reliability Growth Model based on polynomial hazard function (다항 위험함수에 근거한 NHPP 소프트웨어 신뢰성장모형에 관한 연구)

  • Kim, Hee Cheul
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.7 no.4
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    • pp.7-14
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    • 2011
  • Infinite failure NHPP models presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rate per fault (hazard function). This infinite non-homogeneous Poisson process is model which reflects the possibility of introducing new faults when correcting or modifying the software. In this paper, polynomial hazard function have been proposed, which can efficiency application for software reliability. Algorithm for estimating the parameters used to maximum likelihood estimator and bisection method. Model selection based on mean square error and the coefficient of determination for the sake of efficient model were employed. In numerical example, log power time model of the existing model in this area and the polynomial hazard function model were compared using failure interval time. Because polynomial hazard function model is more efficient in terms of reliability, polynomial hazard function model as an alternative to the existing model also were able to confirm that can use in this area.

New Proof of Minimum Distance for Binary Cyclic Codes with $d_{min}$=5 (최소거리가 5인 이진 순회부호의 최소거리에 관한 새로운 증명)

  • 노종선
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.10A
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    • pp.1576-1581
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    • 2000
  • We investigated into the minimum distance of a primitive binary cyclic code C with a generator polynomial g(x)=$m_1(x)m_{d}(x)$. It is known that the necessary and sufficient condition for C to have minimum distance five is the fact that \ulcorner is an APN power function. In this paper we derived the new proof of minimum distance for the primitive binary cyclic codes with minimum distance five.

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Development of Mode Choice Model for the Implementation of Next-generation High Speed Train(HEMU-430X) (차세대 고속열차 도입에 따른 수단분담모형 개발 및 적용방안)

  • LEE, Kwang Sub;CHUNG, Sung Bong;EOM, Jin Ki;NAMKUNG, Baek Kyu;KIM, Seok Won
    • Journal of Korean Society of Transportation
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    • v.33 no.5
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    • pp.461-469
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    • 2015
  • The next generation high-speed train, HEMU-430X, was developed and is now being tested. However, the existing mode choice models based on the guidelines for feasibility studies do not consider a high-speed train with a higher speed than KTX. This limitation might result in inaccurate demand forecasting. In this research, a stated preference survey was conducted in order to supplement the problem by considering the characteristics of HEMU-430X. Based on the survey results, this research developed two mode choice models, including a multinomial logit model and a nested logit model. For this purpose, the utility functions of travel time and travel costs were estimated using a Limdep 8.0 NLOGIT 3.0 package. After comparing the two models, it was concluded that the nested logit model is appropriate. The paper suggested a plan to implement the nested logit model and presented a policy implication.

공항 접근 교통수단선택 효용함수의 매개변수 추정 및 민감도 분석에 관한 연구

  • 김지홍;전경수
    • Proceedings of the KOR-KST Conference
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    • 1998.10b
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    • pp.261-261
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    • 1998
  • 교통계획의 목적은 교통체계를 분석하여 교통과 활동간의 상호작용을 효율화시켜 도시 및 지역사회의 목표를 달성하는데 있으며, 합리적인 교통계획을 수립하여 한정된 투자재원을 효율적으로 배분하기 위해서는 교통수요에 대한 합리적 접근이 필요하다. 교통수요예측의 접근방법은 미시적인 개별적 접근방법과 거시적인 집단적 접근방법으로 구분되며, 다시 모형화 기법이 결정적인가 확률적인가에 따라 개별결정적, 개별활률적, 그리고 집단결정적, 집단확률적 모형의 4가지로 구분될 수 있다. 이 중에서 일반적으로 관심의 대상이 되는 2가지 형태는 집단결정적, 개발확률적 모형이다. 집단결정적모형은 전통적 교통수요예측모형에 해당되며, 개별확률적모형은 1970년대 Mc Fadden을 시작으로 Ben-Akiva, Manheim을 중심으로 한 소비자 행동선택 이론에 근거한 개별행태모형이 이에 해당된다. 개별행태모형은 개개인의 통행행태를 다른 모든 조건이 동일할 때 개개인은 비용의 최소화를 추구하고, 비용과 관련한 통행행태는 거시적 수준에서의 주어진 제약 조건과 관계가 있으며, 의사결정은 확률분포에 의해서 결정되는 효용원칙(Efficiency Principle)에 입각하여 해석한다. 도시내와 도시간, 취업자와 비취업자, 출퇴근 시, 목적별 등의 여러 가지 통행에 있어서 다양한 변수들을 사용하여 교통수단 선택모형의 파라메카 값을 추정하고 통행패턴을 분석해 왔다. 본 논문에서는 개별행태모형인 로짓모형 중에서 집단다항로짓모형을 이용하여 여러 통행 중 공항시설의 접근에 필요한 교통수단 효용함수의 파라메타 값 추정 시, 일반적으로 사용되는 통행시간, 통행비용이라는 변수를 공통으로 두고, 대중교통의 경우에만 해당하는 환승이라는 특정대안변수(Specific alternative variable)를 첨가하여 그것이 수단선택에 미치는 영향을 분석한다. 또한, 대중교통의 속성을 가지고 있는 지하철과 버스를 하나의 대안으로 묶어서 효용함수를 구한 다음 다시 승용차, 택시, 대중교통을 독립된 대안으로 두고 모형을 정립하는 NESTED LOGIT모형으로 파라메타를 추정하여 대중교통의 효용에 관해 분석·비교하였다. 본 논문에 이용된 자료는 공항을 이용하는 이용객들을 대상으로 직접 설문·면접조사한 자료이며 대상 교통수단은 승용차, 택시, 지하철, 버스로 설정하였다.

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Utility Maximization, The Shapes of the Indifference Curve on the Characteristic Space and its Estimation: A Theoretical Approach (개인여객 효용의 극대화 및 운송특성공간상의 무차별곡선의 형태와 그 추정)

  • Kim, Jong-Seok
    • Journal of Korean Society of Transportation
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    • v.27 no.2
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    • pp.157-168
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    • 2009
  • The random utility theory and the multinomial logit model (including a more recent variant--the mixed multinomial logit) derived from it have constituted a back bone for theoretical and empirical analyses of various travel demand features including mode choice. In their empirical applications, however, it is customary to specify random utilities which are linear in modal attributes such as time and cost, and in socio-economic variables. The linearity helps easy derivation of important information such as value of travel time savings by calculating marginal rate of substitution between time and cost. In this paper the author focuses on the very linearity of the random utilities. Taking into account the fact that the mode chooser is also labour supplier, commodity consumer as well as leisure-seeker, the author sets up a maximization model of the traveller, which encompasses various economic activities of the traveller. The author derive from the model the indifference curve defined on the space of modal attributes, time and cost and investigate under what conditions the random utility of the traveller becomes linear. It turns out that there exist the conditions under which the random utility is really linear in modal attributes, but the property does not hold when the traveller has a corner solution on the space of modal attributes, or when the primary utility function of the traveller is directly affected by labour provided and/or the travel time itself. As a corollary of the analysis, a random utility is suggested, approximated up to the second order of the variables involved for empirical studies of the field.

Interconnection Problem among the Dense Areas of Nodes in Sensor Networks (센서네트워크 상의 노드 밀집지역 간 상호연결을 위한 문제)

  • Kim, Joon-Mo
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.48 no.2
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    • pp.6-13
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    • 2011
  • This paper deals with the interconnection problem in ad-hoc networks or sensor networks, where relay nodes are deployed additionally to form connections between given nodes. This problem can be reduced to a NP-hard problem. The nodes of the networks, by applications or geographic factors, can be deployed densely in some areas while sparsely in others. For such a case one can make an approximation scheme, which gives shorter execution time, for the additional node deployments by ignoring the interconnections inside the dense area of nodes. However, the case is still a NP-hard, so it is proper to establish a polynomial time approximation scheme (PTAS) by implementing a dynamic programming. The analysis can be made possible by an elaboration on making the definition of the objective function. The objective function should be defined to be able to deal with the requirement incurred by the substitution of the dense area with its abstraction.

Construction of Revolved-Surface Design Tools Using Implicit Algebraic Functions (음대수 함수를 이용한 회전체를 위한 곡면 설계 도구의 구현)

  • Park, Sanghun;Ihm, Insung
    • Journal of the Korea Computer Graphics Society
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    • v.2 no.1
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    • pp.31-38
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    • 1996
  • Many efforts for finding smooth curves and surfaces satisfying given constraints have been made, and interpolation and approximation theories with the help of computers have played an important role in this endeavour. Most research in curve and surface modeling has been largely dominated by the theory of parametric representations. While they have been successfully used in representing physical objects, parametric surfaces are confronted with some problems when objects are represented and manipulated in geometric modeling systems. In recent year, increasing attention has been paid to implicit algebraic surfaces since they are often more effective than parametric surfaces are. In this paper, we summarize the geometric properties and computational processes of objects represented using implicit algebraic functions and explain of the implementation of design tools which can design curves and surfaces of revolution. These surfaces of revolution are played an importance role in effective areas such as CAD and CAM.

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Recognition for Noisy Speech by a Nonstationary AR HMM with Gain Adaptation Under Unknown Noise (잡음하에서 이득 적응을 가지는 비정상상태 자기회귀 은닉 마코프 모델에 의한 오염된 음성을 위한 인식)

  • 이기용;서창우;이주헌
    • The Journal of the Acoustical Society of Korea
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    • v.21 no.1
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    • pp.11-18
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    • 2002
  • In this paper, a gain-adapted speech recognition method in noise is developed in the time domain. Noise is assumed to be colored. To cope with the notable nonstationary nature of speech signals such as fricative, glides, liquids, and transition region between phones, the nonstationary autoregressive (NAR) hidden Markov model (HMM) is used. The nonstationary AR process is represented by using polynomial functions with a linear combination of M known basis functions. When only noisy signals are available, the estimation problem of noise inevitably arises. By using multiple Kalman filters, the estimation of noise model and gain contour of speech is performed. Noise estimation of the proposed method can eliminate noise from noisy speech to get an enhanced speech signal. Compared to the conventional ARHMM with noise estimation, our proposed NAR-HMM with noise estimation improves the recognition performance about 2-3%.