• Title/Summary/Keyword: Stationary distributions

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Allowance Usage Practices and Saving Behavior among Children

  • Kim Hyo-Chung
    • International Journal of Human Ecology
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    • v.6 no.2
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    • pp.51-61
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    • 2005
  • This study investigated the allowance usage practices and factors affecting saving behavior from 291 elementary school students in Susan. Frequency distributions, Pearson product-moment correlations, and logistic regression analysis were conducted by SPSS Windows. Two-fifths of the respondents did not regularly receive allowance. Many parents did not guide what children spent their money on before using it. Children spent their allowances on buying snacks, stationary, and playing in the game room. Only a small number of the respondents kept a record, but many children saved money. On the other hand, in the logistic regression analysis, the significant variables explaining children's saving behavior were parents' guidance before using allowance, record-keeping, and doing household work for an allowance. These results imply that parents are in the best position to give children positive experiences towards financial management.

Non-Gaussian analysis methods for planing craft motion

  • Somayajula, Abhilash;Falzarano, Jeffrey M.
    • Ocean Systems Engineering
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    • v.4 no.4
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    • pp.293-308
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    • 2014
  • Unlike the traditional displacement type vessels, the high speed planing crafts are supported by the lift forces which are highly non-linear. This non-linear phenomenon causes their motions in an irregular seaway to be non-Gaussian. In general, it may not be possible to express the probability distribution of such processes by an analytical formula. Also the process might not be stationary or ergodic in which case the statistical behavior of the motion to be constantly changing with time. Therefore the extreme values of such a process can no longer be calculated using the analytical formulae applicable to Gaussian processes. Since closed form analytical solutions do not exist, recourse is taken to fitting a distribution to the data and estimating the statistical properties of the process from this fitted probability distribution. The peaks over threshold analysis and fitting of the Generalized Pareto Distribution are explored in this paper as an alternative to Weibull, Generalized Gamma and Rayleigh distributions in predicting the short term extreme value of a random process.

Cross Talk among Pyroelectric Sensitive Elements in Thermal Imaging Device

  • Bang Jung Ho;Yoon Yung Sup
    • Proceedings of the IEEK Conference
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    • 2004.08c
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    • pp.780-783
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    • 2004
  • The two-dimensional modeling of the non-stationary thermal state and voltage responsivity of the sensitive elements usually used in solid-state pyroelectric focal plane arrays are presented. Temperature distributions under periodical thermal excitation and the response of the thermal imaging device, which is composed of the pyroelectric sensitive elements mounted on a single silicon substrate, are numerically calculated. The sensitive element consists of a covering metal layer, infrared polymer absorber, front metal contact, sensitive pyroelectric element, the interconnecting column and the bulk silicon readout. The results of the numerical modeling show that the thermal crosstalk between sensitive elements to be critical especially at low frequency (f < 10Hz) of periodically modulated light. It is also shown that the use of our models gives the possibility to improve the design, operating regimes and sensitivity of the device.

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The Influence of Surface Roughness on Thermohydrodynamic Analysis (열유체 윤활해석에 의한 표면 거칠기가 마찰거동에 미치는 영향 고찰)

  • Kim, Joon-Hyun;Kim, Seong-Keol;Kim, Joo-Hyun
    • Proceedings of the KSME Conference
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    • 2001.06c
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    • pp.299-304
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    • 2001
  • An approach is developed for parametric investigation of the influence of the surface roughness on thermohydrodynamic analysis with film conditions which systemically occur in journal bearings. A parametric investigation is performed for predicting the bearing behaviors such as pressure and temperature distributions in lubricating films between the stationary and moving surfaces determined by absorbed layers and interfaces on the statistical method for rough surface with Gaussian distribution. The layers expressing the effects of surface roughness are expressed as functions of the standard deviations (${\sigma}$) of each surface and surface orientation (j) to explain the flow patterns between both rough surfaces. The coupled effect of surface roughness and shear zone dependency on hydrodynamic pressure and temperature has been found by solving the present model in non-contact mode and contact mode, respectively.

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Stability Analysis of Linear Uncertain Differential Equations

  • Chen, Xiaowei;Gao, Jinwu
    • Industrial Engineering and Management Systems
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    • v.12 no.1
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    • pp.2-8
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    • 2013
  • Uncertainty theory is a branch of mathematics based on normolity, duality, subadditivity and product axioms. Uncertain process is a sequence of uncertain variables indexed by time. Canonical Liu process is an uncertain process with stationary and independent increments. And the increments follow normal uncertainty distributions. Uncertain differential equation is a type of differential equation driven by the canonical Liu process. Stability analysis on uncertain differential equation is to investigate the qualitative properties, which is significant both in theory and application for uncertain differential equations. This paper aims to study stability properties of linear uncertain differential equations. First, the stability concepts are introduced. And then, several sufficient and necessary conditions of stability for linear uncertain differential equations are proposed. Besides, some examples are discussed.

Numerical Analysis of Heat and Mass Transfet in the Absorbent By Surfactant Addition (계면활성제첨가에 의한 흡수용액내의 열 및 물질이동해석)

  • ;;Heo Boo, Back Mok
    • Journal of the Korean Society of Safety
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    • v.6 no.3
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    • pp.40-49
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    • 1991
  • To better understand the phenomena inside an absorber, where heat and mass transfer coexist, this study selected the most baslc absorption model from in whifh water vapor is absorbed on the surface of a stationary lithium bromide absurbent solution. The purpose of this study is to obtain basic knowledge of heat and mass transfer processes as affected by Marangoni convection induced by addition of surfactant. We apply a non-flowing bulk absorption model and assume that dropwise surfactant is fixed on the absorbent surface. Four governing equation-continuity, laminar monentum, energy and diffusion are solved numerically to obtain temperature and concentraion distributions during steam absorption with Marangonl convection.. In conclusion, Sh and Nu genrally increase at the initial absorption stage.

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ANALYSIS OF THE DISCRETE-TIME GI/G/1/K USING THE REMAINING TIME APPROACH

  • Liu, Qiaohua;Alfa, Attahiru Sule;Xue, Jungong
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.153-162
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    • 2010
  • The finite buffer GI/G/1/K system is set up by using an unconventional arrangement of the state space, in which the remaining interarrival time or service time is chosen as the level. The stationary distributions of resulting Markov chain can be explicitly determined, and the chain is positive recurrent without any restriction. This is an advantage of this method, compared with that using the elapsed time approach [2].

Development of a Stochastic Inventory System Model

  • Sung, Chang-Sup
    • Journal of Korean Institute of Industrial Engineers
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    • v.5 no.1
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    • pp.59-66
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    • 1979
  • The objective of this paper is to develop a stochastic inventory system model under the so-called continuous-review policy with a Poisson one-at-a-time demand process, iid customer inter-arrival times {Xi}, backorders allowed, and constant procurement lead time $\gamma$. The distributions of the so-called inventory position process {$IP_{(t-r)}$} and lead time demand process {$D_{(t-r,t)}$} are formulated in terms of cumulative demand by time t, {$N_t$}. Then, for the long-run expected average annual inventory cost expression, the "ensemble" average is estimated, where the cost variations for stock ordering, holding and backorders are considered stationary.

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A Study on the Multi-Level Distribution Policy of High Demand Rate Goods. (수요율이 높은 제품의 다단계 분배정책에 관한 연구)

  • 유형근;김종수
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.17 no.31
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    • pp.59-72
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    • 1994
  • This paper deals with ordering policies of consumable goods which have large demand rates in a multi-level distribution system. The system we are concerned consists of one Central Distribution Center(CDC) and N non-identical Regional Distribution Centers(RDCs) which have different demand rates, minimum fillrates, leadtimes, etc. The customer demand on the RDC is stationary poisson and the RDCs demand on the CDC is superposition of Q-stage Erlang distributions. We approximate the RDCs and CDC demand distribution to nomal in order to enhance the efficiency of algorithm. The relevant costs include a fixed ordering cost and inventory holding cost, and backorder cost. The objective is to find a continuous-review ordering policy that minimizes the expected average costs under constraints of minimum fill rates of RDCs and maximum allowable mean delay of CDC. We developed an algorithm for determining the optimal ordering policies of the CDC and the RDCs. We verified and compared the performance of the algorithm through the simulation using the algorithm result as the input parameters.

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Traffic Modeling of Video Source and Performance Analysis of ATM Multiplexer (비디오 원의 트래픽 모형화와 다중화 장치의 성능분석)

  • Yoon, Young-Ha;Hong, Jung-Sik;Lie, Chang-Hoon
    • Journal of Korean Institute of Industrial Engineers
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    • v.23 no.1
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    • pp.235-247
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    • 1997
  • In this study, the performance of ATM multiplexer with MPEG(Motion Pictures Experts Group) video is analyzed by considering the effect of the MPEG GOP(Group of Pictures) structure. By assuming that frame starting times are synchronized, aggregated traffics are considered to be transmitted at the beginning of each frame time units. The aggregated number of cells generated during a frame time unit is, therefore, derived from distributions of individual sources. The stationary probability of buffer occupancy can be easily obtained by using a property of the periodicity of aggregated traffics. Simulation approach is also used to determine the traffic load for a given probability of satisfying QoS(Quality of Service).

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