• Title/Summary/Keyword: Poisson Distribution

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A study on the behavioral-structure of production activity through the statistical analysis models - focus on the probability distribution of PERT, Queueing theory - (통계적(統計的) 계량분석(計量分析)모델을 통한 생산활동(活動)의 행태구조(行態構造)에 관한 연구 -RERT와 Queueing theory의 확률분포를 중심으로-)

  • Kim, Hong Jae
    • Journal of Korean Society for Quality Management
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    • v.19 no.2
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    • pp.145-157
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    • 1991
  • Thid study intends to pursue behavioral-structure of production behavior through statistical models which are using in PERT and Queueing theory. We can corprehand the orders of human production behavior's characteristics by several related attributes of probablity/statistics. These attributes are poisson, Beta, exponential distributions and P.S Laplace's natural probability. Human production behavior is related and regressed to these attributes in many divisions intermediately. Progressive numerical understanding in many essential human behavior acts on the application of practical behavior standard in production word and operation.

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The Urban Fire Prediction Mapping Technique based on GIS Spatial Statistics (GIS 공간통계를 이용한 도심화재예측지도 제작기법 탐색)

  • Kim, Jin-Taek;Um, Jung-Sup
    • Fire Science and Engineering
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    • v.21 no.2 s.66
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    • pp.14-23
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    • 2007
  • In this thesis, we analysed urban fires and developed the predictive mapping technique by using GIS and spatial statistics. It presented the correlation between the fire data of last 5 years ($2001{\sim}2005$) and the factor of civilization environment in Daegu city. We produced a model of fire hazard predictive map by analyzing uncertainty of fire with the quadrat analysis and the poisson distribution.

The effect of different functionalities of FGM and FGPM layers on free vibration analysis of the FG circular plates integrated with piezoelectric layers

  • Arefi, M.
    • Smart Structures and Systems
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    • v.15 no.5
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    • pp.1345-1362
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    • 2015
  • The present paper deals with the free vibration analysis of the functionally graded solid and annular circular plates with two functionally graded piezoelectric layers at top and bottom subjected to an electric field. Classical plate theory (CPT) is used for description of the all deformation components based on a symmetric distribution. All the mechanical and electrical properties except Poisson's ratio can vary continuously along the thickness direction of the plate. The properties of plate core can vary from metal at bottom to ceramic at top. The effect of non homogeneous index of functionally graded and functionally graded piezoelectric sections can be considered on the results of the system. $1^{st}$ and $2^{nd}$ modes of natural frequencies of the system have been evaluated for both solid and annular circular plates, individually.

On thermal stability of plates with functionally graded coefficient of thermal expansion

  • Bousahla, Abdelmoumen Anis;Benyoucef, Samir;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • v.60 no.2
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    • pp.313-335
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    • 2016
  • In this article, a four-variable refined plate theory is presented for buckling analysis of functionally graded plates subjected to uniform, linear and non-linear temperature rises across the thickness direction. The theory accounts for parabolic distribution of the transverse shear strains, and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. Young's modulus and Poisson ratio of the FGM plates are assumed to remain constant throughout the entire plate. However, the coefficient of thermal expansion of the FGM plate varies according to a power law form through the thickness coordinate. Equilibrium and stability equations are derived based on the present theory. The influences of many plate parameters on buckling temperature difference such ratio of thermal expansion, aspect ratio, side-to-thickness ratio and gradient index will be investigated.

COUNTING STATISTICS MODIFIED BY TWO DEAD TIMES IN SERIES

  • Choi, H.D.
    • Nuclear Engineering and Technology
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    • v.43 no.3
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    • pp.287-300
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    • 2011
  • Counting statistics modified by introducing two dead times in series under a Poisson input distribution are discussed. A previous study examined the two cases of series combinations of nonextended-extended (NE-E) and extended-extended (EE) dead times. The present study investigated the remaining two cases of extended-nonextended (E-NE) and nonextended-nonextended (NE-NE) dead times. For the three time origins of the counting processes - ordinary, equilibrium, and shifted processes - a set of formulae was newly developed from a general formulation and presented for the event time interval densities, total densities, and exact mean and variance of the counts in a given counting duration. The asymptotic expressions for the mean and variance of the counts, which are most convenient for applications, were fully listed. The equilibrium mean count rates distorted by the three dead times in series were newly derived from the information obtained in these studies. An application of the derived formulae is briefly discussed.

Analysis of the effect of emergency lateral transshipment on a multi-echelon inventory model in SCM Environment (SCM 환경의 다단계 재고모형에서 긴급상호대차의 효과에 관한 연구)

  • Sung Chang Sup;Kim Julie;Jung Su Jin
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2002.05a
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    • pp.742-749
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    • 2002
  • This paper deals with a continuous-review two-echelon inventory model with one-for-one replenishment and Poisson demand where transshipments among retailers are allowed. Two classes of inventory systems are considered by the number of distribution centers(DCs) which provide each retailor with inventory items. 1:N class inventory system and M:N class inventory system respectively. Two-phase model is constructed to find out the optimal inventory positions which minimize supply chain costs. Approximations for customer service levels of the system are evaluated in the first phase, and the optimal inventory positions are found subject to the constraints for service level in the second phase. Simulation tests are performed to assure the effectiveness of the proposed model. The effect of transshipment is evaluated.

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Stress Distribution near the Joint of Different Materials (서로 다른 재료(材料)의 결합부(結合部)에서의 응력전달(應力傳達))

  • S.J.,Yim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.7 no.1
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    • pp.13-26
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    • 1970
  • An elastic plate bar jointed to a rigid bar is considered. The bar is subjected to uniform axial tension. A theoretical approximate solution is obtained in an infinite hyperbolic series form and some numerical results for various Poisson's ratios are presented. A rubber plate joined to a strong wooden plate has been tested to obtain an experimental data and the results are compared with theoretical ones. Two values for vertical displacements are in good agreement but it is not satisfactory for horizontal displacements. The conclusion arrived at are as follow : The natures of stress distributions and deformed shapes given by above theoretical solution are compatible in mechanical sense. The magnitudes of stress and displacement components would not be reliable for exact works. A sharp shear stress concentrations are detected at the both ends of the joint.

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Study of Noise Reducion in X-ray image (X-선 영상에서의 노이즈 제거에 대한 연구)

  • Park, Jong-Duk;Jeon, Sung-Chae;Huh, Young;Jin, Seong-Oh
    • Proceedings of the IEEK Conference
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    • 2006.06a
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    • pp.391-392
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    • 2006
  • In x-ray imaging system, twokinds of noises are involved. First, the charge generated from the radiation interaction with the detector during exposure is modeled by Poisson process. Second, the signal is then added by readout electronics noise, which is modeled by Gaussian distribution. In this paper, we applied Wiener filter and Wavelet to remove noise from medical X-ray image, the result shows that wavelet yield better segmentation results than the wiener filter.

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Proposal and Simulation of Optimal Electric Vehicle Routing Algorithm (최적의 전기자동차 라우팅 알고리즘 제안 및 시뮬레이션)

  • Choi, Moonsuk;Choi, Inji;Jang, Minhae;Yoo, Haneul
    • KEPCO Journal on Electric Power and Energy
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    • v.6 no.1
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    • pp.59-64
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    • 2020
  • Scheduling of electric vehicles and optimizing for charging waiting time have been critical. Meanwhile, it is challengeable to exploit the fluctuating data from electric vehicles in real-time. We introduce an optimal routing algorithm and a simulator with electric vehicles obeying the Poisson distribution of the observed information about time, space and energy-demand. Electric vehicle routing is updated in every cycle even it is already set. Also, we suggest an electric vehicle routing algorithm for minimizing total trip time, considering a threshold of the waiting time. Total trip time and charging waiting time are decreased 34.3% and 86.4% respectively, compared to the previous algorithm. It can be applied to the information service of charging stations and utilized as a reservation service.

Detection of Changes of Mean Nonconformities per Unit in the u Control Chart (u 관리도에서 단위당결점수 변화 탐지)

  • Chang, Kyung;Yang, Moon-Hee
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.43
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    • pp.205-209
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    • 1997
  • One objective of the u control chart is to detect changes of mean nonconformities per unit occurred owing to various causes. This paper shows the detection probability using the Poisson distribution for various parameters, that is, subsample size n, mean nonconformities per unit $u_o$, and $u_o's$ change ratio k. We find that (1) as $u_o$ increases the smaller n is required for the same detection probability and the same change ratio; (2) as k gets away from 1 the smaller n is required; (3) the bigger n is required for the bigger detection probability. Several tables are given from our findings and are hoped to be used as guidelines for u chart users.

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