• Title/Summary/Keyword: M/M/1 model

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The Virtual Waiting Time of the M/G/1 Queue with Customers of n Types of Impatience

  • Bae Jongho
    • Proceedings of the Korean Statistical Society Conference
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    • 2004.11a
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    • pp.289-294
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    • 2004
  • We consider M/G/1 queue in which the customers are classified into n+1 classes by their impatience time. First, we analyze the model of two types of customers; one is the customer with constant impatience duration k and the other is patient customer. The expected busy period of the server and the limiting distribution of the virtual waiting time process are obtained. Then, the model is generalized to the one in which there are classes of customers according to their impatience duration.

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Finite element analysis of maxillary incisor displacement during en-masse retraction according to orthodontic mini-implant position

  • Song, Jae-Won;Lim, Joong-Ki;Lee, Kee-Joon;Sung, Sang-Jin;Chun, Youn-Sic;Mo, Sung-Seo
    • The korean journal of orthodontics
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    • v.46 no.4
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    • pp.242-252
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    • 2016
  • Objective: Orthodontic mini-implants (OMI) generate various horizontal and vertical force vectors and moments according to their insertion positions. This study aimed to help select ideal biomechanics during maxillary incisor retraction by varying the length in the anterior retraction hook (ARH) and OMI position. Methods: Two extraction models were constructed to analyze the three-dimentional finite element: a first premolar extraction model (Model 1, M1) and a residual 1-mm space post-extraction model (Model 2, M2). The OMI position was set at a height of 8 mm from the arch wire between the second maxillary premolar and the first molar (low OMI traction) or at a 12-mm height in the mesial second maxillary premolar (high OMI traction). Retraction force vectors of 200 g from the ARH (-1, +1, +3, and +6 mm) at low or high OMI traction were resolved into X-, Y-, and Z-axis components. Results: In M1 (low and high OMI traction) and M2 (low OMI traction), the maxillary incisor tip was extruded, but the apex was intruded, and the occlusal plane was rotated clockwise. Significant intrusion and counter-clockwise rotation in the occlusal plane were observed under high OMI traction and -1 mm ARH in M2. Conclusions: This study observed orthodontic tooth movement according to the OMI position and ARH height, and M2 under high OMI traction with short ARH showed retraction with maxillary incisor intrusion.

Physical Parameters of Late Type Spiral Galaxies I-Mass and Luminosity of NGC 6946

  • Kim, Sug-Whan;Chun, Mun-Suk
    • Journal of Astronomy and Space Sciences
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    • v.2 no.2
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    • pp.101-115
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    • 1985
  • Using Brandt model the mess distribution of the late type spiral galaxy NGC 6946 was derived, and the total mass was reestimated to understand the M/L ratio of this galaxy. Two kinds of the rotation curve with shape parameter n=1 and 3.3 were examined. The following are the main results; (1) The total masses of NGC 6946 are $3.1\times$$10^{11}$ M(n=1) AND $2.8\times$$10^{11}$ M(n=3.3) respectively. and the corresponding M/L are about 17 and 16 for both cases. (2) The optical image in the blue light, whose radius is 9.6 kpc, has 8$\times$$10^{10}$ M and 1.4$\times$$10^{11}$ M. These give the value of M/L about 5 and 8 respectively. (3) The masses and M/L of the nuclear region within 1.2 kpc are 4.0$\times$$10^{9}$ M 4.7$\times$$10^9$ M and 3, 4 for both cases. Those of the disk from 1.2 kpc to 9.6 kpc are 7.6$\times$1$10^{10}$M, 1.4$\times$$10^{11}$M, and 5, 8. (4) The masses of the outer halo extended to few hundreds kiloparsecs are 2.3$\times$$10^{11}$ M and 1.4$\times$$10^{11}$M. The corresponding M/L are about 62 and 37.

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A Study on the Distortional Analysis of Curved Steel Box Girders and Determination of Diaphragm Spacing (곡선 강상자형 거더의 뒤틀림 해석 및 격벽간격산정)

  • Koo, Min Se;Yoon, Wo Hyun;Lee, Ho Kyoung;Kim, Dae Hong
    • Journal of Korean Society of Steel Construction
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    • v.15 no.2
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    • pp.125-135
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    • 2003
  • A 3-dimensional model of curved steel box girder bridges without diaphragm was presented. This model yielded results that were consistent with those of the parameter analysis using the BEF and Ritz methods. Se veralmodels with diaphragms were analyzed to estimate the appropriate diaphragm spacing. In case of 50m span, models A-10, A-20, A-30, B-10, B-20, and B-30 were found to have 5(8.3m), 7(6.25m), 8(5.5m), 4(10m), 6(7.1m), and 7(6.25m) diaphragms, respectively. In addition, a formula that presents the ratio of distortional stress to bending stresswas created from the results of the 3-dimensional FEM model analysis.

A Sensitivity Test on the Minimum Depth of the Tide Model in the Northeast Asian Marginal Seas (동북아시아 조석 모델의 최소수심에 대한 민감도 분석)

  • Lee, Ho-Jin;Seo, Ok-Hee;Kang, Hyoun-Woo
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.5
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    • pp.457-466
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    • 2007
  • The effect of depth correction in the coastal sea has been investigated through a series of tide simulations in the area of $115{\sim}150^{\circ}E,\;20{\sim}52^{\circ}N$ of northwestern Pacific with $1/12^{\circ}$ resolution. Comparison of the solutions varying the minimum depth from 10m to 35 m with the 5m interval shows that the amplitude accuracies of $M_2,\;S_2,\;K_1$ tide using the minimum depth of 25 m have been improved up to 42%, 32%, 26%, respectively, comparing to those using the minimum depth of 10m. The discrepancy between model results using different minimum depth is found to be up to 20 cm for $M_2$ tidal amplitude around Cheju Islands and the positions of amphidromes are dramatically changed in the Bohai Sea. The calculated ARE(Averaged Relative Error) values have been minimized when the bottom frictional coefficient and the minimum depth is 0.0015 and 25 m, respectively.

Dynamic Characteristic of Truss Type Lift Gate by Model Tests (모형실험에 의한 트러스형 리프트 게이트의 진동 특성)

  • Lee, Seong Haeng;Shin, Dong Wook;Kim, Kyoung Nam;Jung, Kyoung Sup
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.6A
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    • pp.337-345
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    • 2012
  • A model test is performed to investigate the dynamic behavior of truss type lift gate which is being constructed by the four major rivers project. The gate dimensioned 40 m in width, 9m in height is scaled with the ratio of 1:25 and is made of acryl panel and supplemented weight by lead in the concrete test flume dimensioned 1.2 m in width, 0.5 m in height and 30m in length. Firstly natural frequencies of the model gate are measured and compared with the numerical results for the calibration. The amplitudes of the vibration are measured under the different gate opening, upstream water level conditions. Also models with bottom angle $20^{\circ}$, $35^{\circ}$ and $50^{\circ}$ are tested and compared to find out a proper shape of bottom structure which minimizes the gate vibration. These test results presents a basic data for the guide manuals of gate management and a design method to reduce the gate vibration of truss type lift gate.

Optimization of Synthesis Condition of Monolithic Sorbent Using Response Surface Methodology (반응 표면 분석법을 이용한 일체형 흡착제의 합성 조건 최적화)

  • Park, Ha Eun;Row, Kyung Ho
    • Applied Chemistry for Engineering
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    • v.24 no.3
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    • pp.299-304
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    • 2013
  • A 17-run Box-Behnken design was used to optimize the synthesis conditions of a monolithic sorbent. The effects of the amount of monomer (mL), crosslink (mL) and porogen (mL) were investigated. The experimental data were fitted to a second-order polynomial equation by the multiple regression analysis and examined using statistical methods. The adjusted coefficient of determination ($R^2$) of the model was 0.9915. The probability value (p < 0.0001) demonstrated a high significance for the regression model. A mean amount of polymer as 2120.15 mg was produced under the following optimum synthesis conditions: the optimized volumes of monomer, crosslink and porogen are 0.30, 1.40, and 1.47 mL, respectively. This was in good agreement with the predicted model value.

Behavior of Building Lower Part Passage Tunnel due to Adjacent Ground Excavation (근접굴착에 따른 건물 하부 통과 터널의 거동)

  • Lee, Jong-Min;Lee, Sang-Duk
    • Tunnel and Underground Space
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    • v.20 no.5
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    • pp.369-377
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    • 2010
  • Applied to the braced wall in order to stabilize the adjacent tunnel. A pre-load of bracing was imposed to prevent the horizontal displacement of the braced wall during the ground excavation. For this purpose, real scale model tests were conducted, without and with pre-load on braced wall. Real scale model tests were conducted, without and with building load (0 m, 1D, 2D) on ground surface. As a result, it was found that the stability of the existing tunnel adjacent to the braced wall could be greatly enhanced when the horizontal displacement of the braced wall was reduced by applying a pre-load, which was larger than the designated axial force of bracing. In this paper, the behaviors of braced wall and adjacent tunnel was studied. Model tests in 1:10 scale were performed in real construction sequences. Adjacent tunnel was 12 m in diameter and the size of test pit was 2.0 m (width) ${\times}$ 6.0 m (height) ${\times}$ 4.0 m (length) in dimension.

STRUCTURE OF THE SPIRAL GALAXY NGC 300 II. Applications of the Mass Models

  • Rhee, Myung-Hyun;Chun, Mun-Suk
    • Journal of The Korean Astronomical Society
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    • v.25 no.1
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    • pp.11-21
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    • 1992
  • Applying mass model to disk galaxy NGC 300, since the observed rotation curve of NGC 300 is flatter than Toomre's mass model n = 1, two cases are used; obtaining parameters $a^n$ and $b^n$ from the polynomial fitting of the observed rotation curve (case A) and from the least square fitting between the observed rotation curve and model rotation curve (case B). In any case, n bas a fixed value of 1. Brandt's mass model is also discussed. which has a shape parameter n = 1.4. Calculated total mass and total mass to luminosity ratio are $3.3{\times}10^{10}M_{\odot}$, l2.1 for case A and $2.8{\times}10^{10}M_{\odot}$, 10.3 for case B. In case of Brandt's model, the values are $4.2{\times}10^{10}M_{\odot}$ and 15.4. The rise in the local mass to luminosity ratio in the outer part of NGC 300 implies existence of massive halo. Other dynamical properties are also discussed.

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Link Dimensioning for Multiplexed M2M Traffic

  • Lee, Hoon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39C no.1
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    • pp.106-113
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    • 2014
  • This work proposes an analytic framework to estimate the capacity of the link in an M2M gateway that multiplexes a massive number of machine type communication devices. First, we specify the network architecture for M2M communications. Next, we summarize the characteristics of M2M traffic, from which we extract an area about the problem that has to be resolved in the dimensioning of the link capacity. After that we propose a new method to determine the capacity of the link in an M2M gateway. Via numerical experiment reflecting the realistic environment of M2M traffic, we illustrate the validity of the proposed model.