• 제목/요약/키워드: Generalized exponential model

검색결과 57건 처리시간 0.022초

The effect of magnetic field on a thermoelastic fiber-reinforced material under GN-III theory

  • Alzahrani, Faris S.;Abbas, Ibrahim A.
    • Steel and Composite Structures
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    • 제22권2호
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    • pp.369-386
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    • 2016
  • In this work, the two-dimensional generalized magneto-thermoelastic problem of a fiber-reinforced anisotropic material is investigated under Green and Naghdi theory of type III. The solution will be obtained for a certain model when the half space subjected to ramp-type heating and traction free surface. Laplace and exponential Fourier transform techniques are used to obtain the analytical solutions in the transformed domain by the eigenvalue approach. The inverses of Fourier transforms are obtained analytically. The results have been verified numerically and are represented graphically. Comparisons are made with the results predicted by the presence and absence of reinforcement and magnetic field.

The effect of two temperatures on a FG nanobeam induced by a sinusoidal pulse heating

  • Zenkour, Ashraf M.;Abouelregal, Ahmed E.
    • Structural Engineering and Mechanics
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    • 제51권2호
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    • pp.199-214
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    • 2014
  • The present investigation is concerned with the effect of two temperatures on functionally graded (FG) nanobeams subjected to sinusoidal pulse heating sources. Material properties of the nanobeam are assumed to be graded in the thickness direction according to a novel exponential distribution law in terms of the volume fractions of the metal and ceramic constituents. The upper surface of the FG nanobeam is fully ceramic whereas the lower surface is fully metal. The generalized two-temperature nonlocal theory of thermoelasticity in the context of Lord and Shulman's (LS) model is used to solve this problem. The governing equations are solved in the Laplace transformation domain. The inversion of the Laplace transformation is computed numerically using a method based on Fourier series expansion technique. Some comparisons have been shown to estimate the effects of the nonlocal parameter, the temperature discrepancy and the pulse width of the sinusoidal pulse. Additional results across the thickness of the nanobeam are presented graphically.

Low Pilot Ratio Channel Estimation for OFDM Systems Based on GCE-BEM

  • Wang, Lidong;Lim, Dong-Min
    • Journal of electromagnetic engineering and science
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    • 제7권4호
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    • pp.195-200
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    • 2007
  • Doubly-selective channel estimator for orthogonal frequency division multiplexing(OFDM) systems is proposed in this paper. Based on the generalized complex exponential basis expansion model(GCE-BEM), we describe the time-variant channel with time-invariant coefficients over multiple OFDM blocks. The time variation of the channel destroys the orthogonality between subcarriers, and the resulting channel matrix in the frequency domain is no longer diagonal, but the main interference comes from the near subcarriers. Based on this, we propose a channel estimator with low pilot ratio. We first develop a least-square(LS) estimator under the assumption that only the maximum Doppler frequency and the channel order are known at the receiver, and then verify that the correlation matrix of inter-channel interference(ICI) is a scaled identity matrix based on which we derive an optimal pilot insertion scheme for the LS estimator in the sense of minimum mean square error. The proposed estimator has the advantages of low pilot ratio and robustness against inter-carrier interference.

GPH 분포에 의한 확률적 근사화 (Probabilistic approximations based on GPH distributions)

  • 윤복식;박광우;이창훈
    • 한국경영과학회지
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    • 제19권1호
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    • pp.85-98
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    • 1994
  • The distribution of random sum of i. i. d. exponential random variables is called GHP (Generalized Phase-Type) distribution. The class of GPH distributions is large enough to include PH (Phase-Type) distributions and has several properties which can be applied conveniently for computational purposes. In this paper, we show that any distribution difined on R$^{+}$ can be app-roximated by the GPH distribution and demonstrate the accuracy of the approximation through various numerical examples. Also, we introduce an efficient way to compute the delay and waiting various numerical examples. Also, we introduce an efficient way to compute the delay and waiting time distributions of the GPH/GPH/1 queueing system which can be used as an approximation model for the GI/G/1 system, and validate its accuracy through numerical examples. The theoretical and experimental results of this paper help us accept the usefulness of the approximations based on GPH distribution.n.

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적응최적시간제어를 사용한 전기로의 온도제어 (Temperature Control of Electric Furnaces using Adaptive Time Optimal Control)

  • 전봉근;송창섭;금영탁
    • 한국정밀공학회지
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    • 제26권5호
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    • pp.120-127
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    • 2009
  • An electric furnace, inside which desired temperatures are kept constant by generating heat, is known to be a difficult system to control and model exactly because system parameters and response delay time vary as the temperature and position are changed. In this study the heating system of ceramic drying furnaces with time-varying parameters is mathematically modeled as a second order system and control parameters are estimated by using a RIV (Recursive Instrumental-Variable) method. A modified bang-bang control with magnitude tuning is proposed in the time optimal temperature control of ceramic drying electric furnaces and its performance is experimentally verified. It is proven that temperature tracking of adaptive time optimal control using a second order model is more stable than the GPCEW (Generalized Predictive Control with Exponential Weight) and rapidly settles down by pre-estimation of the system parameters.

Statistical Estimates from Black Non-Hispanic Female Breast Cancer Data

  • Khan, Hafiz Mohammad Rafiqullah;Ibrahimou, Boubakari;Saxena, Anshul;Gabbidon, Kemesha;Abdool-Ghany, Faheema;Ramamoorthy, Venkataraghavan;Ullah, Duff;Stewart, Tiffanie Shauna-Jeanne
    • Asian Pacific Journal of Cancer Prevention
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    • 제15권19호
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    • pp.8371-8376
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    • 2014
  • Background: The use of statistical methods has become an imperative tool in breast cancer survival data analysis. The purpose of this study was to develop the best statistical probability model using the Bayesian method to predict future survival times for the black non-Hispanic female breast cancer patients diagnosed during 1973-2009 in the U.S. Materials and Methods: We used a stratified random sample of black non-Hispanic female breast cancer patient data from the Surveillance Epidemiology and End Results (SEER) database. Survival analysis was performed using Kaplan-Meier and Cox proportional regression methods. Four advanced types of statistical models, Exponentiated Exponential (EE), Beta Generalized Exponential (BGE), Exponentiated Weibull (EW), and Beta Inverse Weibull (BIW) were utilized for data analysis. The statistical model building criteria, Akaike Information Criteria (AIC), Bayesian Information Criteria (BIC), and Deviance Information Criteria (DIC) were used to measure the goodness of fit tests. Furthermore, we used the Bayesian approach to obtain the predictive survival inferences from the best-fit data based on the exponentiated Weibull model. Results: We identified the highest number of black non-Hispanic female breast cancer patients in Michigan and the lowest in Hawaii. The mean (SD), of age at diagnosis (years) was 58.3 (14.43). The mean (SD), of survival time (months) for black non-Hispanic females was 66.8 (30.20). Non-Hispanic blacks had a significantly increased risk of death compared to Black Hispanics (Hazard ratio: 1.96, 95%CI: 1.51-2.54). Compared to other statistical probability models, we found that the exponentiated Weibull model better fits for the survival times. By making use of the Bayesian method predictive inferences for future survival times were obtained. Conclusions: These findings will be of great significance in determining appropriate treatment plans and health-care cost allocation. Furthermore, the same approach should contribute to build future predictive models for any health related diseases.

수정 TOPMODEL에 의한 유출해석과 일반화 (설마천 유역을 중심으로) (Generalization of Modified TOPMODEL for Rainfall-Runoff Analysis of Sulmachun Watershed)

  • 이학수;김남원;김상현
    • 한국수자원학회논문집
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    • 제35권3호
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    • pp.295-306
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    • 2002
  • 지표하부에 이중 저류체계를 고려해주는 수정 TOPMODEL을 일반화된 지표하 투수량계수 감소함수와 연결시켰으며, 대공극으로의 수직배수 효과, 지표저류 효과, 토양층 내에서의 상대 저류 부족량에 대한 영향을 검토하기 위해 세가지 형태의 지하수 충전함수를 도입하였다. 이러한 접근은 사면 수문학에 대한 30가지 형태의 모형구조를 제공한다. 개발된 모형들은 설마천 유역의 여러 강우사상에 적용되었다. Monte-carlo 모의를 통한 수행결과는 지수함수적 투수량계수 감소형태가 설마천 유역의 물리적인 수문모의에 적절함을 제시하였고, 대공극 흐름을 표현해 주는 재충전 함수가 일반화시킨 수정 TOPMODEL의 예측적 향상에 기여하였다.

Bandwidth Management of WiMAX Systems and Performance Modeling

  • Li, Yue;He, Jian-Hua;Xing, Weixi
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제2권2호
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    • pp.63-81
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    • 2008
  • WiMAX has been introduced as a competitive alternative for metropolitan broadband wireless access technologies. It is connection oriented and it can provide very high data rates, large service coverage, and flexible quality of services (QoS). Due to the large number of connections and flexible QoS supported by WiMAX, the uplink access in WiMAX networks is very challenging since the medium access control (MAC) protocol must efficiently manage the bandwidth and related channel allocations. In this paper, we propose and investigate a cost-effective WiMAX bandwidth management scheme, named the WiMAX partial sharing scheme (WPSS), in order to provide good QoS while achieving better bandwidth utilization and network throughput. The proposed bandwidth management scheme is compared with a simple but inefficient scheme, named the WiMAX complete sharing scheme (WCPS). A maximum entropy (ME) based analytical model (MEAM) is proposed for the performance evaluation of the two bandwidth management schemes. The reason for using MEAM for the performance evaluation is that MEAM can efficiently model a large-scale system in which the number of stations or connections is generally very high, while the traditional simulation and analytical (e.g., Markov models) approaches cannot perform well due to the high computation complexity. We model the bandwidth management scheme as a queuing network model (QNM) that consists of interacting multiclass queues for different service classes. Closed form expressions for the state and blocking probability distributions are derived for those schemes. Simulation results verify the MEAM numerical results and show that WPSS can significantly improve the network’s performance compared to WCPS.

가산자료(count data)의 과산포 검색: 일반화 과정 (Overdispersion in count data - a review)

  • 김병수;오경주;박철용
    • 응용통계연구
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    • 제8권2호
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    • pp.147-161
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    • 1995
  • 생검실험에서는 다산을 통해 번식하는 쥐와 같은 설치류 동물들을 실험대상으로 하여 이항분포나 포아송분포 하에서 가산자료(count data)를 많이 생성한다. 다산을 통해 태어난 동물들을 독립적인 실험대상으로 간주하여 자료분석을 하면, 同腹仔 효과로 인해 기존의 평균과 분산사이의 관계를 벗어나는 과산포현상이 종종 나타난다. 이러한 현상을 무시했을 때 모수추정치에 대한 분산을 과소추정하고, 이로 인하여 가설검정에서 낮은 검정력을 갖게 된다. 이러한 문제점을 해결하기 위하여 최근 10년간 과산포현상을 검색하는 통계량들과 과산포를 반영하는 모형들이 제시되었는데, 이를 개관하고 이러한 절차들의 일반화 과정을 자료 유형별로 비교분석한다.

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Vertical coherence functions of wind forces and influences on wind-induced responses of a high-rise building with section varying along height

  • Huang, D.M.;Zhu, L.D.;Chen, W.;Ding, Q.S.
    • Wind and Structures
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    • 제21권2호
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    • pp.119-158
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    • 2015
  • The characteristics of the coherence functions of X axial, Y axial, and RZ axial (i.e., body axis) wind forces on the Shanghai World Trade Centre - a 492 m super-tall building with section varying along height are studied via a synchronous multi-pressure measurement of the rigid model in wind tunnel simulating of the turbulent, and the corresponding mathematical expressions are proposed there from. The investigations show that the mathematical expressions of coherence functions in across-wind and torsional-wind directions can be constructed by superimposition of a modified exponential decay function and a peak function caused by turbulent flow and vortex shedding respectively, while that in along-wind direction need only be constructed by the former, similar to that of wind speed. Moreover, an inductive analysis method is proposed to summarize the fitted parameters of the wind force coherence functions of every two measurement levels of altitudes. The comparisons of the first three order generalized force spectra show that the proposed mathematical expressions accord with the experimental results well. Later, the influences of coherence functions on wind-induced dynamic responses are analyzed in detail based on the proposed mathematical expressions and the frequency-domain method of random vibration theory.