• Title/Summary/Keyword: closed form approximation

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Improved closed-form Green's function for a horizontal magnetic dipole in a parallel-plate waveguide (평행평판 도파관내 수평자기쌍극자에 대한 개선된 단순함수형태의 그린함수)

  • 이영순;권호상;조영기
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.35D no.5
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    • pp.24-32
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    • 1998
  • Spatial green's functions for a horizontal magnetic dipole in a parallel-plate waveguide are expressed in an improved closed-form with two-level approximation of the spectral green's functions. The results evaluated by the present closed-from green's function with two-level approximation are compard with those obtained the previous closed-form green's function with one-level approximation. The present results are observed to be more acurate than the previous results over wide frequency range as well as whole spatial range. The combination of the present closed-form green's functions and the moment mehtod may help in analyzing the problem of EMP coupling through an aperture into a parallel-plat waveguide and the microstrip slot antenna with a reflector.

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An Optimum Choice of Approximation Path for Derivation of New Class of Closed-Form Green's Functions (새로운 형태의 Closed-Form 그린함수의 유도를 위한 근사 경로의 최적선택)

  • Lee Young-Soon;Kim Eui-Jung
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.16 no.4 s.95
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    • pp.418-426
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    • 2005
  • Based upon three level approximation and the steepest descent path(SDP) method, we consider an optimum choice of approximation path for derivation of new class of closed-flrm Green's functions which can lead to the analytic evaluation of MoM(Method of Moment) matrix elements. It is observed that the present method can give more accurate evaluation of the spatial Green's functions than the previous method, even without the advance investigation of the spectral functions, over a wide frequency range. In order to check the validity of the present method, some numerical results are presented.

Approximate Analysis of a CONWIP System with a Lot Production (로트 단위로 가공되는 CONWIP 시스템의 근사적 분석)

  • Lee, Hyo-Seong;Lee, Jeong-Eun
    • IE interfaces
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    • v.11 no.3
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    • pp.55-63
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    • 1998
  • In this study we consider a CONWIP system in which the processing times at each station follow an exponential distribution and the demands for the finished products arrive according to a compound Poisson process. The demands that are not satisfied instantaneously are assumed to be lost. We assume that the lot size at each station is greater than one. For this system we develop an approximation method to obtain the performance measures such as steady state probabilities of the number of parts at each station, average number of parts at each station and the proportion of lost demands. For the analysis of the proposed CONWIP system, we model the CONWIP system as a closed queueing network with a synchronization station and analyze the closed queueing network using a product form approximation method. A recursive technique is used to solve the subnetwork in the application of the product-form approximation method. To test the accuracy of the approximation method, the results obtained from the approximation method were compared with those obtained by simulation. Comparisons with simulation have shown that the accuracy of the approximate method is acceptable.

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Approximate Analysis of a CONWIP system with Compound Poisson Demands (Compound Poisson 수요를 갖는 CONWIP 시스템의 근사적 분석)

  • 이정은;이효성
    • Journal of the Korean Operations Research and Management Science Society
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    • v.23 no.3
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    • pp.153-168
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    • 1998
  • In this study we consider a CONWIP system in which the processing times at each station follow an exponential distribution and the demands for the finished Products arrive according to a compound Poisson process. The demands that are not satisfied instantaneously are assumed to be backordered. For this system we develop an approximation method to obtain the performance measures such as steady state probabilities of the number of parts at each station, the proportion of backordered demands, the average number of backordered demands and the mean waiting time of a backordered demand. For the analysis of the proposed CONWIP system, we model the CONWIP system as a closed queueing network with a synchronization station and analyze the closed queueing network using a product form approximation method. A matrix geometric method is used to solve the subnetwork in the application of the product-form approximation method. To test the accuracy of the approximation method, the results obtained from the approximation method were compared with those obtained by simulation. Comparisons with simulation have shown that the approximate method provides fairly good results.

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Performance Evaluation of a CONWIP System with Compound Poisson Demands and Coxian Processing Times (복합포아송 수요와 Coxian 가공시간을 갖는 CONWIP 시스템의 성능평가)

  • 박찬우;이효성
    • Journal of the Korean Operations Research and Management Science Society
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    • v.31 no.3
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    • pp.63-79
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    • 2006
  • In this study we consider a CONWIP system in which the processing times at each station follow a Coxian distribution and the demands for the finished products arrive according to a compound Poisson process. The demands that are not satisfied immediately are either backordered or lost according to the number of demands that exist at their arrival Instants. For this system we develop an approximation method to calculate performance measures such as steady state probabilities of the number of parts at each station, proportion of lost demands and the mean number of backordered demands. For the analysis of the proposed CONWIP system, we model the CONWIP system as a closed queueing network with a synchronization station and analyze the closed queueing network using a product-form approximation method. A recursive technique is used to solve the subnetwork in the application of the product-form approximation method. To test the accuracy of the approximation method, the results obtained from the approximation method are compared with those obtained by simulation. Comparisons with simulation show that the approximation method provides fairly good results.

The closed-form solution and its approximation of the optimal guidance law (최적유도법칙의 closed-form 해와 근사식)

  • 탁민제;박봉규;선병찬;황인석;조항주;송택렬
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.572-577
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    • 1992
  • In this paper, the optimal homing guidance problem is investigated for the general missile/target models described in the state-space. The closed-form solution of the optimal guidance law derived, and its asymptotic properties are studied as the time-to-go goes to infinity or zero. Futhermore, several approximate solutions of the optimal guidance law are suggested for real-time applications.

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An Approximate Closed Form Representation of the Microstrip Dyadic Surface Green's Function (Mictrostrip Dyadic 표면 Green 함수의 근사표현식)

  • 최익권
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.4
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    • pp.549-560
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    • 1993
  • A simple closed form approximation is developed by a new approach presented in this paper for the microstrip surface dyadic Green's function which arises in the problem of an electric current point source on an infinite planar grounded dielectric substrate. This closed form approximation includes the effects of the space wave, the surface wave and their coupling within the transition region near the source, and remains accurate as near as $0.1{\pi}_1$ from the source point for a substrate thickness as large as $0.04{\pi}_1$, where, ${\pi}_1$, is the free space wavelength, This result can significantly facilitate the rigorous moment method analysis of microstrip antenna arrays on relatively this substrates of practical interest. Numerical results illustrating the accuracy of the closed form approximation are presented and CPU times associated with some mutual impedance calculations are also included.

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Closed-Form Green's Function for the Analysis of Microstrip Structure (마이크로스트립 구조 해석을 위한 Closed-Form 그린 함수)

  • Yang, Seung-Woo;Kim, Sung-Jin;Kim, Gun-Woo;Lee, Taek-Kyung
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.19 no.3
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    • pp.281-293
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    • 2008
  • In the layered medium, the Sommerfeld integral must be evaluated to calculate a space domain Green's function. The real axis integration method provides stable and accurate results over wide ranges of the observation distance and the singnal frequency. But this method has the in efficiency of approximation when the field point z is changed. Also, as the amplitude of z increases, the change of the spectral domain function is more rapidly. Therefore, the approximation is difficult when z becomes larger. In this paper, we propose a method to calculate an accurate closed-form Green's function for microstrip structure by using the closed-loop integration path.

A robust method for derivation of the new closed-form Green관s functions for microstrip structures and its application to a fast MoM (마이크로스트립 구조에 관한 새로운 closed-form 그린함수 유도를 위한 견실한 방법과 빠른 모멘트법으로의 응용)

  • Kim, Eui-Joong
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2002.11a
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    • pp.423-433
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    • 2002
  • A very fast method of moments(MoM) for the analysis of microstrip structure is considered based upon the use of rooftop basis and razor test functions in conjunction with a new closed-form Green's functions. The present method presents a robust approach to obtain the Green's functions which can be derived by use of only one set of approximation parameters independently of operating frequency range. Moreover, using the present MoM scheme, the MoM matrix elements can be analytically evaluated with few number of terms in comparison with the previous method. So, the computational efficiency can be improved significantly without loss of the precision. In order to check the validity of the present method, performance is demonstrated for the example of a coaxially-fed microstrip transmission line and the present results are compared with the previous results.

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Performance degradation caused by coefficient approximation in Sliding-DFT based phasor measurement (순환 DFT 기반의 동기 위상 측정에 있어서 계수 근사에 따른 성능 열화 분석)

  • Kim, Chong-Yun;Chang, Tae-Gyu
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.39 no.4
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    • pp.470-476
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    • 2002
  • This paper presents an analysis of the performance degradation of coefficient approximation and frequency deviation in phase measurement algorithm based on Sliding-DFT. The analytic derivation is based on the statistics of the error dynamic equation that describes the error propagation of the recursion. The analysis result is intended to obtain a closed-form equation of error variance in terms of the number of bits used in coefficient approximation, the length of the DFT data block, and noise. It is verified with data obtained from the computer simulations.