• 제목/요약/키워드: Poisson Distribution

검색결과 590건 처리시간 0.025초

Exact solution of a thick walled functionally graded piezoelectric cylinder under mechanical, thermal and electrical loads in the magnetic field

  • Arefi, M.;Rahimi, G.H.;Khoshgoftar, M.J.
    • Smart Structures and Systems
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    • 제9권5호
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    • pp.427-439
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    • 2012
  • The present paper deals with the analytical solution of a functionally graded piezoelectric (FGP) cylinder in the magnetic field under mechanical, thermal and electrical loads. All mechanical, thermal and electrical properties except Poisson ratio can be varied continuously and gradually along the thickness direction of the cylinder based on a power function. The cylinder is assumed to be axisymmetric. Steady state heat transfer equation is solved by considering the appropriate boundary conditions. Using Maxwell electro dynamic equation and assumed magnetic field along the axis of the cylinder, Lorentz's force due to magnetic field is evaluated for non homogenous state. This force can be employed as a body force in the equilibrium equation. Equilibrium and Maxwell equations are two fundamental equations for analysis of the problem. Comprehensive solution of Maxwell equation is considered in the present paper for general states of non homogeneity. Solution of governing equations may be obtained using solution of the characteristic equation of the system. Achieved results indicate that with increasing the non homogenous index, different mechanical and electrical components present different behaviors along the thickness direction. FGP can control the distribution of the mechanical and electrical components in various structures with good precision. For intelligent properties of functionally graded piezoelectric materials, these materials can be used as an actuator, sensor or a component of piezo motor in electromechanical systems.

조립 생산 시스템에서 최적 Base-Stock 수준 (The Optimal Base-Stock Level in Assembly lines)

  • 고성석;서동원
    • 산업경영시스템학회지
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    • 제30권3호
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    • pp.89-93
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    • 2007
  • In this study, we consider an assembly line operated under a base-stock policy. A product consists of two parts, and a finished product transfers to a warehouse in which demands are satisfied. Assume that demands arrive according to a Poisson process and processing times at each production line are exponentially distributed. Whenever a demand arrives, it is satisfied immediately from an inventory in the warehouse if available; otherwise, it is backlogged and satisfied later by the next product exiting from production lines. In either case, an arriving demand automatically triggers the production of a part at both production lines. These two parts will be assembled into a product that eventually transfers to the warehouse. We obtain a closed form formula of approximation for delay time or lead time distribution of a demand when a base- stock level is s. Moreover, it can be applied to the optimal base-stock level which minimizes the total inventory cost. Numerical examples are presented to show our optimal base-stock level's quality.

Evolution of Automatic Ordering System in Retail Market : Analyzing Inventory Data

  • Paik, SiHyun;Frazier, DeWayne P.;Mark, Isenhoff
    • International Journal of Advanced Culture Technology
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    • 제3권2호
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    • pp.1-14
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    • 2015
  • The purpose of this paper is to reveal two problems in the existing inventory systems in retail market, and to suggest a Two-Bin System under Automatic Ordering System considering only base-stock. Large retailers already have a sophisticated inventory system based on an automatic ordering principle. However, why does the out-of-stock (OOS) happen in large discount stores in spite of having a good inventory system? This paper suggests two systems after finding the root causes concerning the previous question. For evaluating the performance of each system, the random 200 data set in each sample group was generated from MINITAB 16 and obeyed the Poisson distribution. The existing inventory system in retail market cannot help generating OOS due to indwelling contradiction in itself. The reasons are the ordering deadline and the relationship between ordering quantity and base stock. This paper also demonstrates that these previous studies on inventory fall into the closed loop. Also the paper shows that the performance of the replenishment policy was better than traditional methods dealing with ordering quantity and base stock.

Natural vibration of the three-layered solid sphere with middle layer made of FGM: three-dimensional approach

  • Akbarov, Surkay D.;Guliyev, Hatam H.;Yahnioglu, Nazmiye
    • Structural Engineering and Mechanics
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    • 제57권2호
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    • pp.239-263
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    • 2016
  • The paper studies the natural oscillation of the three-layered solid sphere with a middle layer made of Functionally Graded Material (FGM). It is assumed that the materials of the core and outer layer of the sphere are homogeneous and isotropic elastic. The three-dimensional exact equations and relations of linear elastodynamics are employed for the investigations. The discrete-analytical method proposed by the first author in his earlier works is applied for solution of the corresponding eigenvalue problem. It is assumed that the modulus of elasticity, Poisson's ratio and density of the middle-layer material vary continuously through the inward radial direction according to power law distribution. Numerical results on the natural frequencies related to the torsional and spheroidal oscillation modes are presented and discussed. In particular, it is established that the increase of the modulus of elasticity (mass density) in the inward radial direction causes an increase (a decrease) in the values of the natural frequencies.

SOI형 대칭 DG MOSFET의 문턱전압 도출에 대한 간편한 해석적 모델 (A simple analytical model for deriving the threshold voltage of a SOI type symmetric DG-MOSFET)

  • 이정호;서정하
    • 대한전자공학회논문지SD
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    • 제44권7호통권361호
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    • pp.16-23
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    • 2007
  • 본 논문에서는 완전 공핍된 SOI형 대칭 이중게이트 MOSFET의 문턱 전압에 대한 간단한 해석적 모델을 제시하고자 실리콘 몸체 내의 전위 분포를 근사적으로 채널에 수직한 방향의 좌표에 대해 4차 다항식으로 가정하였다. 이로써 2차원 포아송 방정식을 풀어 표면 전위의 표현식을 도출하고, 이 결과로부터 드레인 전압 변화에 의한 문턱 전압의 roll-off를 비교적 정확하게 기술할 수 있는 문턱 전압의 표현식을 closed-form의 간단한 표현식으로 도출하였다. 도출된 표현식으로 모의 실험을 수행한 결과 $0.01\;[{\mu}m]$의 실리콘 채널 길이 범위까지 채널 길이에 지수적으로 감소하는 것을 보이는 비교적 정확한 결과를 얻을 수 있음을 확인하였다.

IPSec보안서버의 성능분석 모델 (IPsec Security Server Performance Analysis Model)

  • 윤연상;이선영;박진섭;권순열;김용대;양상운;장태주;유영갑
    • 대한전자공학회논문지TC
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    • 제41권9호
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    • pp.9-16
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    • 2004
  • 본 논문에서는 IPSec 가속기를 보안서버에 장착하였을 경우의 성능분석모델을 제안하였다. 제안된 보안서버는 M/M/1 시스템으로 모델링하였으며 트래픽 로드는 포아송분포를 이용하였다 보안서버의 성능변수를 통합하여 디코딩지연이라고 정의하였으며 IPSec 가속기인 BCM5820의 실측 결과와 비교하여 15%정도의 차이를 갖는 디코딩지연을 추출하였다 디코딩 지연을 제안된 성능분석모델에 대입하여 시뮬레이션 하였을 경우 보안연결은 BCM5820의 발표된 성능의 75%의 처리량을 보였다. 그리고 데이터전달은 발표된 성능의 각각 3.125%(패킷크기 64byte), 14.28%(패킷크기 1024byte)의 처리량을 보였다.

침-평판 전극 사이에서 중간 압력 질소 방전의 시뮬레이션 (Numerical Simulation of Nitrogen Discharge at Medium Pressure between Point-Plane Electrodes)

  • 고욱희;박인호
    • 한국진공학회지
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    • 제17권6호
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    • pp.487-494
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    • 2008
  • 준 2차원 수치적 모델을 사용하여 침-평판(point-plane)형의 전극 사이에 있는 중간 압력 질소의 방전에 대한 시뮬레이션을 수행하였다. 이 모델에서는 전자와 이온에 대한 연속방정식을 풀어 시. 공간적으로 변하는 전하분포를 계산하고, 공간 전하 분포의 변화에 따라 결정되는 전기장은 푸아송 방정식을 풀어 얻는다. 연속 방정식은 FCT (Flux-corrected transport) 알고리즘과 FEM (Finite Element Method) 방법을 적용하여 수치적으로 다루어 졌다. 50Torr 압력에서의 질소 방전에 대한 시뮬레이션 결과는 중간 압력 질소 방전의 물리적 특성에 관한 상세한 이해를 제공한다. 또 계산 결과와 실험 결과[1]와의 비교는 정성적으로 잘 일치하는 것을 보여 준다.

암의 집단발병에 관한 역학조사방법 (Survey Methods on Cancer Epidemic)

  • 박병주;배종면;안윤옥;유근영
    • Journal of Preventive Medicine and Public Health
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    • 제27권3호
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    • pp.411-423
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    • 1994
  • The survey methods for confirming the epidemicity and identifying the possible causes of the cancer epidemic can be different from those for infectious diseases. The procedure for confirming whether the outbreak is epidemic or not is quite different. Household survey for identifying cancer cases and residents actually living at the area should be done. Hospital survey for medical record review should be performed to identify all cancer cases among the residents of the outbreak area and confirmig the final diagnoses of the cancer cases. Comparing the level of cancer incidence or mortality with other areas can be done by using Poisson distribution, or calculating SIR (Standard Incidence Ratio) from cumulative incidence rates. Case-control study can be conducted to identify the etiologic, factors of the cancer epidemic and to establish strategy for preventing further recurrence of the outbreak.

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소프트웨어 신뢰도 품질 평가 메트릭에 대한 연구 (On the Study of Software Reliability in Quality Testing Metrics)

  • 정혜정
    • 인터넷정보학회논문지
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    • 제7권2호
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    • pp.151-160
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    • 2006
  • 소프트웨어 품질 평가 시스템과 소프트웨어 품질 평가 범위는 소프트웨어 신뢰도 측정을 위해서 정의되어져야 한다. 본 연구에서 소프트웨어 신뢰도 품질 평가 메트릭을 개발하고 소프트웨어 신뢰도를 측정하기 위한 적당한 범주의 테스팅에 대해서 조사한다. 연구를 성공적으로 수행하기 위해서 소프트웨어의 버그수를 이용해서 소프트웨어의 실패시간을 예측했다. 소프트웨어의 신뢰도는 소프트웨어의 품질 평가에 있어서 중요하다. 국제 표준 ISO/IEC 9126의 소프트웨어 신뢰성 평가 메트릭을 기초로 하여 소프트웨어 신뢰도를 평가할 수 있는 메트릭을 제안하고 이것을 중심으로 하여 평가방안을 제안한다.

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Analytical determination of shear correction factor for Timoshenko beam model

  • Moghtaderi, Saeed H.;Faghidian, S. Ali;Shodja, Hossein M.
    • Steel and Composite Structures
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    • 제29권4호
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    • pp.483-491
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    • 2018
  • Timoshenko beam model is widely exploited in the literature to examine the mechanical behavior of stubby beam-like components. Timoshenko beam theory is well-known to require the shear correction factor in order to recognize the nonuniform shear distribution at a section. While a variety of shear correction factors are appeared in the literature so far, there is still no consensus on the most appropriate form of the shear correction factor. The Saint-Venant's flexure problem is first revisited in the frame work of the classical theory of elasticity and a highly accurate approximate closed-form solution is presented employing the extended Kantorovich method. The resulted approximate solution for the elasticity field is then employed to introduce two shear correction factors consistent with the Cowper's and energy approaches. The mathematical form of the proposed shear correction factors are then simplified and compared with the results available in the literature over an extended range of Poisson's and aspect ratios. The proposed shear correction factors do not exhibit implausible issue of negative values and do not result in numerical instabilities too. Based on the comprehensive discussion on the shear correction factors, a piecewise definition of shear correction factor is introduced for rectangular cross-sections having excellent agreement with the numerical results in the literature for both shallow and deep cross-sections.