• Title/Summary/Keyword: exponential analysis

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Numerically Efficient Evaluation of MoM Matrix in Conjunction with the Closed-form Green s Functions in Analysis of Multi-layered Planar Structures (다층 평판구조체 해석시 Closed-form 그린함수와 함께한 모멘트 행렬의 효율적인 수치계산)

  • 이영순;김병철;조영기
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.12 no.1
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    • pp.92-98
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    • 2001
  • When analyzing the scatting problem of multi-layered planar structures using closed-form Green's function, one of the main difficulties is that the numerical integrations for the evaluation of diagonal matrix elements converge slowly and are not so stable. Accordingly, even when the integration fur the singularity of type $e^{-jkr}/{\gamma}$, corresponding to the source dipole itself, is performed using such a method, this difficulty persists in the integration corresponding to the finite number of complex images. In order to resolve this difficulty, a new technique based upon the Gaussian quadrature in polar coordinates for the evaluation of the two-dimensional generalized exponential integral is presented. Stability of the algorithm and convergence is discussed. Performance is demonstrated for the example of a microstrip patch antenna.

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A Boundness Analysis of Performance on the Nested Queueing Network with Population Constraint (용량제한을 갖는 중첩형 대기행렬 네트워크의 성능 범위분석)

  • Rhee, Young
    • Journal of KIISE:Computer Systems and Theory
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    • v.36 no.4
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    • pp.239-246
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    • 2009
  • In this study, we analyze the mean waiting time on the nested open queueing network, where the population within each subnetwork is controlled by a semaphore queue. The queueing network can be transformed into a simpler queueing network in terms of customers waiting time. A major characteristic of this model is that the lower layer flow is halted by the state of higher layer. Since this type of queueing network does not have exact solutions for performance measure, the lower bound and upper bound on the mean waiting time are checked by comparing them with the mean waiting time in the transformed nested queueing network. Simulation estimates are obtained assuming Poisson arrivals and other phase-type arrival process, i.e., Erlang and hyper-exponential distributions. The bounds obtained can be applied to get more close approximation using the suitable approach.

Performance Evaluation of a Two-Product CONWIP System with Poisson Demand Processes (Poisson 수요과정을 갖는 두 품목 콘윕시스템의 성능평가)

  • Park, Chan-Woo;Kim, Su-Min;Bang, Woo-Hyung;Lee, Hyo-Seong
    • Journal of Korean Institute of Industrial Engineers
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    • v.39 no.3
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    • pp.172-182
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    • 2013
  • In this study we consider a flow line CONWIP system in which two types of product are produced. The processing times of each product type at each station follow an independent exponential distribution and the demands for the finished products of each type arrive according to a Poisson process. The demands that are not satisfied instantaneously are either backordered or lost according to the number of unsatisfied demands that exist at their arrival instants. For this system we develop an approximation method to obtain the performance measures such as steady state probabilities of the number of parts of each product type at each station, mean waiting times of backordered demands and the proportion of backordered demands. For the analysis of the proposed CONWIP system, we model the CONWIP system as a two class closed queueing network with a synchronization station and analyze the closed queueing network using a product-form approximation method for multiple classes developed by Baynat and Dallery. In the approximation method, each subsystem is analyzed using a matrix geometric method. Comparisons with simulation show that the approximation method provides fairly good results for all performance measures.

Analysis of the tsunami hazard area in Jumunjin port (주문진항의 지진해일 위험지역 분석)

  • Kim, Yong-Cheol;Kim, Chang-Hee;Cho, Yong-Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.79-82
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    • 2012
  • 최근 지진해일 발생으로 인한 막대한 피해로 인해 지진해일 방재에 대한 중요성이 높아지고 있다. 지진해일 방재연구는 주로 실제 발생하였던 역사지진해일과 발생가능성이 높은 가상의 지진해일에 대해 해당지역의 재해정보도를 제작하여, 지진해일 발생 시 인명 및 재산피해를 최소화 하는 것에 초점이 맞추어져 있다. 따라서 이번 연구에서는 이러한 재해정보도의 효율성을 높이기 위해 지진해일 발생 시 인명피해가 발생할 가능성이 높은 위험지역을 선정하였다. 지진해일 위험지역을 선정하기 위해 가상의 지진해일을 수치모의 하였으며, 지진해일 발생 시 인명피해가 발생할 수 있는 지진해일 범람 높이를 선정하여 선정한 기준 높이 이상의 범람이 발생할 확률을 계산하였다. 지진해일 수치모의는 지진해일 전파모의와 범람모의 과정으로 이루어진다. 지진해일 전파모형은 선형 Boussinesq 방정식을 지배방정식으로 사용하며, 지진해일 범람모형은 비선형 천수방정식을 지배방정식으로 사용하였다. 수치모의를 통해 주문진항에서의 가상의 지진해일에 대한 범람영역 및 범람 높이를 얻었다. 수치모의를 통해 얻어진 범람 데이터를 이용해 기준 높이 이상의 범람 발생 확률을 계산하였다. 확률 계산을 위해선 해당 데이터의 확률분포를 결정하여야 하기 때문에, 적합도 검정을 수행하였다. 이번 연구에서는 여러 가지 적합도 검정 기법 중 하나인 확률도시 상관계수 검정(Probability Plot Correlation Coefficient Test)을 사용하였으며, 범람 데이터의 확률분포로 Normal, Log-normal, Exponential, Gumbel 분포를 가정하여 검정을 수행하였다. 각 지점별로 확률도시 상관계수 검정을 수행하여, 해당 지점의 확률분포를 결정하였고, 각 지점별로 해당하는 확률분포의 누적확률분포 함수를 이용해 기준 높이 이상의 범람이 발생할 확률을 계산하였다. 얻어진 확률을 지도상에 도시하여 기준 높이 이상의 범람 발생 확률이 높은 지점을 주문진항에서의 지진해일에 대한 인명피해 발생 가능성이 높은 위험지역으로 선정하였다.

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

  • Lee, Hak-Su;Kim, Nam-Won;Kim, Sang-Hyeon
    • Journal of Korea Water Resources Association
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    • v.35 no.3
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    • pp.295-306
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    • 2002
  • The modified TOPMODEL of two storage systems has been integrated to the generalized assumptions of decreasing hydraulic conductivity to vertical direction. Three different recharge functions were introduced to explore the impact of the macropore flow to vortical direction, the storage at the surface zone and the relative storage deficit of the soil matrix. Combinations of these approaches provide 30 type of the model structure for the hillslope hydrology. Developed models have been applied to several hydrologic events at the Sulmachun watershed. The performance evaluation with the Monte carlo simulation suggests that the exponential function of transmissivity reduction should be appropriate form for the physically -based hydrologic simulation on the Sulmachun watershed. It has been shown that the recharge function of macropore flow contributes to improve the predictability of the generalized version of modified TOPMODEL.

Optimal Sequencing of Water Supply Proiects by Dynamic Programming (동적계량법에 의한 용수공급시설의 최적화에 관한 연구)

  • 배상근;이순택
    • Water for future
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    • v.14 no.2
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    • pp.63-69
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    • 1981
  • This Study is aimed at optimal sequencing of water supply projects for water demand from the application in water resources field of dynamic programming because a minimum present cost strategy for investment in water supply projects plays an important part of installation of some projects. In analysis, the relationships of the future water demand and numerous possible independent projects that are expected to meet water requirements up to some future data in Daegu city were used and future water demand were estimated from the exponential function method, the method used by the Water Works Bureau of Daegu City government which is a kind of geometric progression method and the mean value of these two methods. The results showed that the optimal sequencing of water supply projects using Dynamic Programming was reasonable and the changing of the estimation method of future water demand made a difference among optimal sequence of projects while the changing of annual rate of interest had influenced on present value cost only. In general, the best sequence for constructing the seven projects was the order of D-E-G-F-C-B-A, with the corresponding period for 33-38 years.

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Analysis of the TE Scattering by a Resistive Strip Grating Over a Grounded Dielectric Plane (접지된 유전체 평면위의 저항띠 격자구조에 의한 TE 산란 해석)

  • Yoon, Uei-Joong
    • Journal of Advanced Navigation Technology
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    • v.10 no.3
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    • pp.198-204
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    • 2006
  • In this paper, TE(transverse electric) scattering problems by a resistive strip grating on a grounded dielectric plane according to the strip width and grating period, the relative permittivity and thickness of dielectric layer, and incident angles of a TE plane wave are analyzed by applying the FGMM(Fourier-Galerkin Moment Method) known as a numerical procedure. The induced surface current density is simply expanded in a Fourier series by using the exponential function as a simple function. The reflected power gets increased according as the relative permittivity and thickness of dielectric multilayers gets increased, the sharp variations of the reflected power are due to resonance effects were previously called wood's anomallies[7]. To verify the validity of the proposed method, the numerical results of normalized reflected power for the uniform resistivity R = 0 as a conductive strip case show in good agreement with those in the existing paper.

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The Study for ENHPP Software Reliability Growth Model Based on Kappa(2) Coverage Function (Kappa(2) 커버리지 함수를 이용한 ENHPP 소프트웨어 신뢰성장모형에 관한 연구)

  • Kim, Hee-Cheul
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.12
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    • pp.2311-2318
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    • 2007
  • Finite failure NHPP models presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. Accurate predictions of software release times, and estimation of the reliability and availability of a software product require Release times of a critical element of the software testing process : test coverage. This model called Enhanced non-homogeneous Poission process(ENHPP). In this paper, exponential coverage and S-shaped model was reviewed, proposes the Kappa coverage model, which make out efficiency application for software reliability. Algorithm to estimate the parameters used to maximum likelihood estimator and bisection method, model selection based on SSE statistics and Kolmogorov distance, for the sake of efficient model, was employed. Numerical examples using real data set for the sake of proposing Kappa coverage model was employed. This analysis of failure data compared with the Kappaa coverage model and the existing model(using arithmetic and Laplace trend tests, bias tests) is presented.

Reasonability of Logistic Curve on S/W (로지스틱 곡선을 이용한 타당성)

  • Kim, Sun-Il;Che, Gyu-Shik;Jo, In-June
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.1
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    • pp.1-9
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    • 2008
  • The Logistic cone is studied as a most desirable for the software testing effort. Assuming that the error detection rate to the amount of testing effort spent during the testing phase is proportional to the current error content, a software-reliability growth model is formulated by a nonhomogeneous Poisson process. Using this model the method of data analysis for software reliability measurement is developed. After defining a software reliability, This paper discusses the relations between testing time and reliability and between duration following failure fixing and reliability are studied SRGM in several literatures has used the exponential curve, Railleigh curve or Weibull cure as an amount of testing effort during software testing phase. However, it might not be appropriate to represent the consumption curve for testing effort by one of already proposed curves in some software development environments. Therefore, this paper shows that a logistic testing- effort function can be adequately expressed as a software development/testing effort curve and that it gives a good predictive capability based on real failure data.

A merging framework for improving field scale root-zone soil moisture measurement with Cosmic-ray neutron probe over Korean Peninsula

  • Nguyen, Hoang Hai;Choi, Minha
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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    • pp.154-154
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    • 2019
  • Characterization of reliable field-scale root-zone soil moisture (RZSM) variability contribute to effective hydro-meterological monitoring. Although a promising cosmic-ray neutron probe (CRNP) holds the pontential for field-scale RZSM measurement, it is often restricted at deeper depths due to the non-unique sensitivity of CRNP-measured fast neutron signal to other hydrogen pools. In this study, a merging framework relied on coupling cosmic-ray soil moisture with a representative additional RZSM, was introduced to scale shallower CRNP effective depth to represent root-zone layer. We tested our proposed framework over a densely vegetated region in South Korea covering a network of one CRNP and nine in-situ point measurements. In particular, cosmic-ray soil moisture and ancillary RZSM retrieved from the most time stable location were considered as input datasets; whereas the remaining point locations were used to generate a reference RZSM product. The errors between these two input datasets and the reference were forecasted by a linear autoregressive model. A linear combination of forecasts was then employed to compute a suitable weight for merging two input products from the predicted errors. The performance of merging framework was evaluated against reference RZSM in comparison to the two original products and a commonly used exponential filter technique. The results of this study showed that merging framework outperformed other products, demonstrating its robustness in improving field-scale RZSM. Moreover, a strong relationship between the quality of input data and the performance merging framework in light of CRNP effective depth variation has been also underlined via the merging framework.

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