• Title/Summary/Keyword: Limits

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On a functional central limit theorem for the multivariate linear process generated by positively dependent random vectors

  • KIM TAE-SUNG;BAEK JONG IL
    • Proceedings of the Korean Statistical Society Conference
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    • 2000.11a
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    • pp.119-121
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    • 2000
  • A functional central limit theorem is obtained for a stationary multivariate linear process of the form $X_t=\sum\limits_{u=0}^\infty{A}_{u}Z_{t-u}$, where {$Z_t$} is a sequence of strictly stationary m-dimensional linearly positive quadrant dependent random vectors with $E Z_t = 0$ and $E{\parallel}Z_t{\parallel}^2 <{\infty}$ and {$A_u$} is a sequence of coefficient matrices with $\sum\limits_{u=0}^\infty{\parallel}A_u{\parallel}<{\infty}$ and $\sum\limits_{u=0}^\infty{A}_u{\neq}0_{m{\times}m}$. AMS 2000 subject classifications : 60F17, 60G10.

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Prediction of forming limits for anisotropic sheet metals with ellipsoidal voids (타원체 보이드를 갖는 이방성 판재의 성형한계 예측)

  • Son, H.S.;Kim, J.;Kim, Y.S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.05a
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    • pp.254-257
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    • 2003
  • The modified yield function of Gologanu-Leblond-Devaux in conjunction with the Barlat and Lian's yield criterion is studied to clarify the plastic deformation characteristic of voided anisotropic sheet metals. The void growth of an anisotropic sheet under biaxial tensile loading and damage effect of void growth on forming limits of sheet metals are investigated. Also, the shape parameter defining non-spherical(prolate ellipsoidal) voids with initially random orientations is introduced in M-K model. The predicted forming limits are compared with the published experimental data.

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Limits Considering the Deformation Characteristics of Tailor Rolled Blank during Hot Stamping (핫스탬핑 공정에서 Tailor Rolled Blank 의 성형 특성을 고려한 성형한계 예측)

  • Kim, J.H.;Ko, D.H.;Seo, P.G.;Kim, B.M.
    • Transactions of Materials Processing
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    • v.23 no.6
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    • pp.351-356
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    • 2014
  • The current study aims to predict the forming limits considering the deformation characteristics of tailor rolled blank(TRB) during hot stamping. The formability of TRB is affected by the TRB line orientation because elongations change due to the intrinsic geometry within the sheet. To evaluate the forming limits, Nakazima tests were conducted at elevated temperatures with different TRB line orientations. Forming limit diagrams(FLD) of TRB can be predicted by an interpolating equation based on the Nakazima test. Predicted FLDs were used in FE-simulations of a rectangular drawing. The predicted limit drawing height was compared with experimental results. The simulation results show good agreement with the experimental ones with an error range of 3%.

On a Structure De ned by a Tensor Field F of Type (1, 1) Satisfying $ \prod\limits_{j=1}^{k}$[F2+a(j)F+λ2(j)I]=0

  • Das, Lovejoy;Nivas, Ram;Singh, Abhishek
    • Kyungpook Mathematical Journal
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    • v.50 no.4
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    • pp.455-463
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    • 2010
  • The differentiable manifold with f - structure were studied by many authors, for example: K. Yano [7], Ishihara [8], Das [4] among others but thus far we do not know the geometry of manifolds which are endowed with special polynomial $F_{a(j){\times}(j)$-structure satisfying $$\prod\limits_{j=1}^{k}\;[F^2+a(j)F+\lambda^2(j)I]\;=\;0$$ However, special quadratic structure manifold have been defined and studied by Sinha and Sharma [8]. The purpose of this paper is to study the geometry of differentiable manifolds equipped with such structures and define special polynomial structures for all values of j = 1, 2,$\ldots$,$K\;\in\;N$, and obtain integrability conditions of the distributions $\pi_m^j$ and ${\pi\limits^{\sim}}_m^j$.

A Study on the Establishments of Aircraft Noise Abatement Procedures in Gimpo International Airport (김포공항 항공기 저소음 운항절차 수립을 위한 연구)

  • Kim, Yeon-Myung;Park, Jin-Woo;Kim, Young-Il;Son, Jung-Gon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.11a
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    • pp.725-738
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    • 2006
  • The final purpose of this study is to develop noise abatement procedures for minimizing damages caused by aircraft noise, to establish appropriate noise limits and to suggest a plan for imposing surcharges and penalties on aircraft infringing the noise limits. This study establishes noise abatement procedures and suggests a plan to complement and improve upon NMS in Gimpo International Airport by reviewing the NMS structure. In addition, this study establishes a noise limit at each noise monitoring system and a verification system to discriminate infringing aircraft. Finally, this study suggests a control plan for aircraft infringing the noise limit.

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Determination of Optimum Process Mean and Screening Limits for Production Processes with Multi - Decision Alternatives (다결정 대안을 갖는 생산공정에서 최적공정평균 및 스크리닝 한계선의 결정)

  • Hong, Sung-Hoon;Kwon, Hyuck-Moo;Kim, Sang-Boo;Lee, Min-Koo
    • Journal of Korean Institute of Industrial Engineers
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    • v.25 no.3
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    • pp.336-341
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    • 1999
  • The problem of jointly determining the optimum process mean and screening limits for each market is considered in situations where there are several markets with different price/cost structures. The quality characteristic is assumed to be a normal distribution with unknown mean and known variance. A quadratic loss function is utilized for developing the economic model. Methods of finding the optimum process mean and screening limits are presented and a numerical example is given.

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ON A POSITIVE SUBHARMONIC BERGMAN FUNCTION

  • Kim, Jung-Ok;Kwon, Ern-Gun
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.3
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    • pp.623-632
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    • 2010
  • A holomorphic function F defined on the unit disc belongs to $A^{p,{\alpha}}$ (0 < p < $\infty$, 1 < ${\alpha}$ < $\infty$) if $\int\limits_U|F(z)|^p \frac{1}{1-|z|}(1+log)\frac{1}{1-|z|})^{-\alpha}$ dxdy < $\infty$. For boundedness of the composition operator defined by $C_{fg}=g{\circ}f$ mapping Blochs into $A^{p,{\alpha}$ the following (1) is a sufficient condition while (2) is a necessary condition. (1) $\int\limits_o^1\frac{1}{1-r}(1+log\frac{1}{1-r})^{-\alpha}M_p(r,\lambda{\circ}f)^p\;dr$ < $\infty$ (2) $\int\limits_o^1\frac{1}{1-r}(1+log\frac{1}{1-r})^{-\alpha+p}(1-r)^pM_p(r,f^#)^p\;dr$ < $\infty$.

AN INTERPOLATION APPROXIMATION VIA SIMULATION ON A QUEUEING NETWORK

  • Lim, Jong-Seul
    • Journal of applied mathematics & informatics
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    • v.9 no.2
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    • pp.879-890
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    • 2002
  • In this paper we consider open queueing system with a Poisson arrival process which have a finite upper bound on the arrival rate for which the system is stable. Interpolation approximations for quantities of interest, such as moments of the sojourn time distribution, have previously been developed for such systems, utilizing exact light and heavy traffic limits. These limits cannot always be easily computed for complex systems. Thus we consider an interpolation approximation where all of the relevant information is estimated via simulation. We show that all the relevant information can in fact be simultaneously estimated in a single regenerative simulation at any arrival rate. In addition to light and heavy traffic limits, both the quantity of interest and its derivative (with respect to the arrival rate) are estimated at the arrival rate of the simulation. All of the estimates are then combined, using a least squares procedure, to provide an interpolation approximation.

Economic Dispatch Using Hybrid Particle Swarm Optimization with Prohibited Operating Zones and Ramp Rate Limit Constraints

  • Prabakaran, S.;Senthilkuma, V.;Baskar, G.
    • Journal of Electrical Engineering and Technology
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    • v.10 no.4
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    • pp.1441-1452
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    • 2015
  • This paper proposes a new Hybrid Particle Swarm Optimization (HPSO) method that integrates the Evolutionary Programming (EP) and Particle Swarm Optimization (PSO) techniques. The proposed method is applied to solve Economic Dispatch(ED) problems considering prohibited operating zones, ramp rate limits, capacity limits and power balance constraints. In the proposed HPSO method, the best features of both EP and PSO are exploited, and it is capable of finding the most optimal solution for the non-linear optimization problems. For validating the proposed method, it has been tested on the standard three, six, fifteen and twenty unit test systems. The numerical results show that the proposed HPSO method is well suitable for solving non-linear economic dispatch problems, and it outperforms the EP, PSO and other modern metaheuristic optimization methods reported in the recent literatures.

Economic Selection of Specification Limits for a Given Target Value (공정평균(工程平均)의 목표치(目標値)가 주어진 경우 규격한계(規格限界)의 경제적(經濟的) 선정(選定))

  • Riew, Moon-Charn
    • Journal of Korean Institute of Industrial Engineers
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    • v.15 no.2
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    • pp.57-64
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    • 1989
  • An Economic selection of specification limits is considered for a given target value in a complete inspection plan. Each item is inspected, and if it meets the specification, it is accepted. Items less than the lower specification limit are scrapped or sold at a reduced price, and those greater than the upper specification limit are reworked. Cost factors to be considered are economic loss caused by quality deviations, rework cost and scrapping cost. Methods for finding the optimal specification limits are given for the cases of piecewise linear loss function and quadratic loss function with illustrative examples.

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