• 한국항해항만학회:학술대회논문집
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• 한국항해항만학회 1999년도 추계학술대회논문집
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• pp.83-90
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• 1999

Centralized safety stock in a periodic replenishment system which consists of one central warehouse and m regional warehouse can reduce backorders allocation the centralized safety stocks to regional warehouse in a certain instant of each replenishment cycle. If the central warehouse can not monitoring inventories in the regional warehouse, then we have to predetermine the instant of allocation according to demand distribution and this instant must be same for all different replenishment cycle. However, transition of inventory level in each cycle need not to be same, and therefore different instant of the allocation may results reduced shortage compare to the predetermined instant of allocation. In this research, we construct a dynamic model based on the assumption of monitoring inventories inventories in the regional warehouse everyday, and develop an algorithm minimize shortage in each replenishment cycle using dynamic programming approach.

• Journal of applied mathematics & informatics
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• 제27권3_4호
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• pp.749-755
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• 2009

In this paper, we investigate the invariant interval, periodic character, semicycle and global attractivity of all positive solutions of the equation $Y_{n+1}\;=\;\frac{p+qy_{n-k}}{1+y_n+ry_{n-k}}$, n = 0, 1, ..., where the parameters p, q, r and the initial conditions $y_{-k}$, ..., $y_{-1}$, $y_0$ are positive real numbers, k $\in$ {1, 2, 3, ...}. It is worth to mention that our results solve the open problem proposed by Kulenvic and Ladas in their monograph [Dynamics of Second Order Rational Difference Equations: with Open Problems and Conjectures, Chapman & Hall/CRC, Boca Raton, 2002]

• Journal of applied mathematics & informatics
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• 제23권1_2호
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• pp.571-579
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• 2007

Finite difference schemes are considered for a generalization of the Cahn-Hilliard equation with Neumann boundary conditions and the Kuramoto-Sivashinsky equation with a periodic boundary condition, which is of the type $ut+\frac{{\partial}^2} {{\partial}x^2}\;g\;(u,\;u_x,\;u_{xx})=f(u,\;u_x,\;u_{xx})$. Stability and $L^{\infty}$ error estimates of approximate solutions for the corresponding schemes are obtained using the extended Lax-Richtmyer equivalence theorem.

• 한국연소학회지
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• 제7권1호
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• pp.23-30
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• 2002

Instability of oblique detonation waves (ODW) at off-attaching condition was investigated through a series of numerical simulations. Two-dimensional wedge of finite length was considered in $H_2/O_2/N_2$ mixtures at superdetonative condition. Numerical simulation was carried out with a compressible fluid dynamics code and a detailed hydrogen-oxygen combustion mechanism. Present result reveals that there is a chemical kinetic limit of the ODW detachment, in addition to the theoretical limit predicted by Rankine-Hugoniot theory with equilibrium chemistry. Result also presents that ODW still attaches at a wedge as an oblique shock-induced flame showing periodically unstable motion, if the Rankine-Hugoniot limit of detachment is satisfied but the chemical kinetic limit is not. Mechanism of the periodic instability is considered as interactions of shock and reaction waves coupled with chemical kinetic effects. From the investigation of characteristic chemical time, condition of the periodic instability is identified as follows; at the detaching condition of the Rankine-Hugoniot theory, (1) flow residence time is smaller than the chemical characteristic time, behind the detached shock wave with heat addition, (2) flow residence time should be greater than the chemical characteristic time, behind an oblique shock wave without heat addition.

• 수면정신생리
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• 제7권1호
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• pp.34-42
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• 2000

배 경: 주기성 사지운동증은 비교적 높은 유병률을 보이는 질환임에도 불구하고 그 병태생리에 대해선 알려진 바가 적다. 또한 고령층에서의 유병률이 높기 때문에 폐쇄성 수면무 호흡증과 동반되는 경우가 많지만 두 질환의 관련성에 대한 기존의 연구에서는 일관된 결론을 찾기 어렵다. 본 연구에서는 기존 연구보다 더 큰 규모의 대상군에서 주기성 사지운동증의 특징과 폐쇄성 수면무호흡증이 주기성 사지운동증에 미치는 영향을 조사하였다. 방 법: 수면다원검사에 의해 주기성 사지운동증으로 진단 된 320명(남자 192명, 여자 128명)을 연구대상으로 하였다. 대상군의 평균 연령은 53.1세(SD=15.1)였다. 이중 주기성 서천석 41 등 사지운동증만을 가진 대상군이 150명, 주기성 사지운동증과 폐쇄성 수면무호흡증을 함께 가진 대상군이 149명이었으며 기면병을 동반한 대상군이 21명이었다. 연령, 성별 그리고 병발 질환이 주기성 사지운동증에 미치는 영향에 대해 다변량분석 등을 실시하였다. 또한 대상군을 폐쇄성 수면무호흡증 병발 여부에 따라 두 군으로 나누어 사지운동 지표와 수면 지표를 비교하였다. 결 과: 대상군의 시간당 주기성 사지운동의 빈도(periodic limb movement index, 이하 PLMI)는 평균 25.2(SD=24.8)회이고 이 중 각성을 동반한 운동(periodic limb movement arousal index, 이하 PLMAI)은 시간당 3.4 (SD=6.3)회이었다. PLMI와 PLMAI는 모두 연령과 양의 상관관계가 있었다. 남성에서 여성에 비해 PLMI가 더 높았는데(p<0.01) 이는 남녀간의 연령 분포의 차이에 기인하는 것은 아니었다. PLMI를 종속변인으로, 성별, 연령, 폐쇄성 수면무호흡증의 병발 여부를 독립변인으로 하여 다변량분석을 시행한 결과 성별(t=4.35, p<0.001)과 연령(t=-3.66, p<0.001), 폐쇄성 수면무호흡증의 병발(t=-2.20, p<0.05)이 PLMI에 유의한 기여를 하는 것으로 나타났다. 주기성 사지운동증만 있는 대상군(n=150), 주기성 사지운동증과 수면무호흡증이 병발된 대상군(n=149)으로 나누어 PLMI, PLMAI를 비교 한 결과 두 집단간에 유의한 차이가 없었다. 그러나 두 집단간에 PLMI와 상관성을 보이는 수면 지표에는 차이가 있었다. PLMI가 주기성 사지운동증만 있는 대상군에서는 서파 수면 및 렘 수면의 비율과 각각 음의 상관성이 있었지만 주기성 사지운동증과 수면무호흡증이 병발한 대상군에서는 수면효율과 음의 상관성이 있었다. 결 론: 본 연구를 통해 폐쇄성 수면무호흡증이 주기성 사지운동증의 시간당 빈도에 영향을 미치고 있음을 확인하였다. 이러한 영향이 폐쇄성 수면무호흡증으로 인해 유발된 자율신경 각성에 의해 매개되었을 것으로 추론한다.

• 한국재료학회지
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• 제18권10호
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• pp.535-541
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• 2008

Growth behavior of InGaN/GaN self-assembled quantum dots (QDs) was investigated with respect to different growth parameters in low pressure metalorganic chemical vapor deposition. Locally formed examples of three dimensional InGaN islands were confirmed from the surface observation image with increasing indium source ratio and growth time. The InGaN/GaN QDs were formed in Stranski-Krastanow (SK) growth mode by the continuous supply of metalorganic (MO) sources, whereas they were formed in the Volmer-Weber (V-W) growth mode by the periodic interruption of the MO sources. High density InGaN QDs with $1{\sim}2nm$ height and $40{\sim}50nm$ diameter were formed by the S-K growth mode. Dome shape InGaN dots with $200{\sim}400nm$ diameter were formed by the V-W growth mode. InN content in InGaN QDs was estimated to be reduced with the increase of growth temperature. A strong peak between 420-460 nm (2.96-2.70 eV) was observed for the InGaN QDs grown by S-K growth mode in photoluminescence spectrum together with the GaN buffer layer peak at 362.2 nm (3.41 eV).

• Korean Journal of Mathematics
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• 제16권4호
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• pp.553-564
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• 2008

We have a concern with the existence of solutions (${\xi},{\eta}$) for perturbations of the parabolic system with Dirichlet boundary condition $$(0.1)\;\begin{array}{lcr}{\xi}_t=-L{\xi}+{\mu}g(3{\xi}+{\eta})-s{\phi}_1-h_1(x,t)\;in\;{\Omega}{\times}(0,2{\pi}),\\{\eta}_t=-L{\eta}+{\nu}g(3{\xi}+{\eta})-s{\phi}_1-h_2(x,t)\;in\;{\Omega}{\times}(0,2{\pi})\end{array}.$$ We prove the uniqueness theorem when the nonlinearity does not cross eigenvalues. We also investigate multiple solutions (${\xi}(x,t),\;{\eta}(x,t)$) for perturbations of the parabolic system with Dirichlet boundary condition when the nonlinearity f' is bounded and $f^{\prime}(-{\infty})<{\lambda}_1,{\lambda}_n<(3{\mu}+{\nu})f^{\prime}(+{\infty})<{\lambda}_{n+1}$.

• Journal of applied mathematics & informatics
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• 제10권1_2호
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• pp.119-130
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• 2002

An extended Jacobin elliptic function method is presented for constructing exact travelling wave solutions of nonlinear partial differential equations(PDEs) in a unified way. The main idea of this method is to take full advantage of the elliptic equation that Jacobin elliptic functions satisfy and use its solutions to replace Jacobin elliptic functions in Jacobin elliptic function method. It is interesting that many other methods are special cases of our method. Some illustrative equations are investigated by this means.

• 대한수학회논문집
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• 제9권4호
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• pp.857-872
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• 1994

A PB-chain(Poincare-Birkhoff chain) is by definition a pair of elliptic and hyperbolic n-periodic orbits for a mapping and its existence has been well established numerically or analytically in many particular occasions such as in standard maps or twist maps [1, 8, 9] or Henon maps [1, 2, 12]. This paper gives focus on the investigaton of the appearance of such a PB-chain in a one-parameter family of general area-preserving maps and is in fact a generalization of the results given in [12] for a one-parameter family of specific area-preserving maps, so called Henon maps.

• 대한수학회논문집
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• 제14권2호
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• pp.337-352
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• 1999

In this paper we find a geometric condition for the weaker principle of spatial averaging (PSA) for a class of polyhedral domains. Let \ulcorner be a polyhedron in R\ulcorner, n$\leq$3. If all dihedral angles of \ulcorner are submultiples of $\pi$, then there exists a parallelopiped \ulcorner generated by n linearily independent vectors {\ulcorner}\ulcorner in R\ulcorner containing \ulcorner so that solutions of $\Delta$u+λu=0 in \ulcorner with either the boundary condition u=0 or ∂u/∂n=0 are expressed by linear combinations of those of $\Delta$u+λn=0 in \ulcorner with periodic boundary condition. Moreover, if {\ulcorner}\ulcorner satisfies rational condition, we guarantee the weaker PSA for the domain \ulcorner.