• Management Science and Financial Engineering
• /
• 제13권1호
• /
• pp.35-53
• /
• 2007

We consider a(worst-case) robust optimization version of the Economic Order Quantity(EOQ) model. Order setup costs and inventory carrying costs are assumed to have uncertainty in their values, and the uncertainty description of the two parameters is supposed to be given by an ellipsoidal representation. A genetic algorithm combined with Monte Carlo simulation is proposed to approximate the ellipsoidal representation. The objective function of the model under ellipsoidal uncertainty description is derived, and the resulting problem is solved by another genetic algorithm. Computational test results are presented to show the performance of the proposed method.

• International Journal of Naval Architecture and Ocean Engineering
• /
• 제13권1호
• /
• pp.292-305
• /
• 2021

The present study concerns uncertainty assessment of powering prediction from towing tank model tests, suggested by the International Towing Tank Conference (ITTC). The systematic uncertainty of towing tank tests was estimated by allowance of test setup and measurement accuracy of ITTC. The random uncertainty was varied from 0 to 8% of the measurement. Randomly generated inputs of test conditions and measurement data sets under systematic and random uncertainty are used to statistically analyze resistance and propulsive performance parameters at the full scale. The error propagation through an extrapolation procedure is investigated in terms of the sensitivity and coefficient of determination. By the uncertainty assessment, it is found that the uncertainty of resultant powering prediction was smaller than the test uncertainty.

• 한국재료학회지
• /
• 제27권3호
• /
• pp.127-131
• /
• 2017

Isosteric heat of hydrogen adsorption is one of the most important parameters required to describe solid-state hydrogen storage systems. Typically, it is calculated from adsorption isotherms measured at 77K (liquid N2) and 87K (liquid Ar). This simple calculation, however, results in a high degree of uncertainty due to the small temperature range. Therefore, the original Sievert type setup is upgraded using a heating and cooling device to regulate the wide sample temperature. This upgraded setup allows a wide temperature range for isotherms (77K ~ 117K) providing a minimized uncertainty (error) of measurement for adsorption enthalpy calculation and yielding reliable results. To this end, we measure the isosteric heats of hydrogen adsorption of two prototypical samples: activated carbon and metal-organic frameworks (e.g. MIL-53), and compared the small temperature range (77~87K) to the wide one (77K ~ 117K).

• 한국유체기계학회 논문집
• /
• 제14권1호
• /
• pp.42-47
• /
• 2011

Measurement uncertainty analysis of fuel flow using turbine flowmeter was performed for the case of altitude engine test. SAE ARP4990 was used as the fuel flow calculation procedure, as well as the mathematical model for the measurement uncertainty assessment. The assessment was performed using Sensitivity Coefficient Method. 11 parameters involved in the calculation of the flow rate were considered. For the given equipment setup, the measurement uncertainty of fuel flow was assessed in the range of 1.19~1.86 % for high flow rate case, and 1.47~3.31 % for low flow rate case. Fluctuation in frequency signal from the flowmeter had the largest influence on the fuel flow measurement uncertainty for most cases. Fuel temperature measurement had the largest for the case of low temperature and low flow rate. Calibration of K-factor and the interpolation of the calibration data also had large influence, especially for the case of very low temperature. Reference temperature, at which the reference viscosity of the sample fuel was measured, had relatively small contribution, but it became larger when the operating fuel temperature was far from reference temperature. Measurement of reference density had small contribution on the flow rate uncertainty. Fuel pressure and atmospheric pressure measurement had virtually no contribution on the flow rate uncertainty.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 2009년도 제40회 하계학술대회
• /
• pp.1355_1357
• /
• 2009

This paper describes the standard system for calibrating pulse generator of partial discharge(PD) and its uncertainty. The system is consisted of digital pulse generator, digital recorder and evaluation software. The uncertainty requirement of calibrator charge is less than $\pm$ (0.1pC + 0.03q) and that of pulse duration is less than $\pm$ 10 %. The system can generate various kind of calibration pulses such as single pulse, double pulses, oscillation pulse, long-duration pulse, random pulses and evaluate their uncertainty.

• 한국의학물리학회지:의학물리
• /
• 제23권2호
• /
• pp.81-90
• /
• 2012

방사선 치료에서 부정확한 환자 셋업이 표적에 전달되는 선량에 미치는 영향과 치료 마진과의 연관성을 몬테칼로 기법을 사용한 전산모사를 통하여 분석하였다. 실제 방사선 치료를 받은 직장암 환자에 대한 임상표적체적(CTV: Clinical Target Volume) 및 주요장기의 구조와 치료계획 시스템(Eclipse 8.9, USA)을 이용하여 수립된 세기조절 방사선치료계획에서의 선량분포에 대한 데이터를 전산모사에서 사용하였다. 전산모사 프로그램은 리눅스환경에서 오픈소스인 ROOT 라이브러리와 GCC를 기반으로 본 연구를 위하여 개발되었다. 환자셋업오차의 확률분포를 정규분포로 가정한 것에 따라 무작위로 생성된 크기만큼 셋업이 부정확한 경우를 모사하여 임상표적체적에서의 선량분포의 변화와 오차크기에 따른 마진크기를 3차원입체조형 방사선치료에 사용되는 마진공식과 비교분석 하였다. 셋업오차 생성에 사용된 정규분포의 표준편차 크기는 1 mm부터 10 mm까지 1 mm간격으로 두었으며 계통오차와 통계오차별로 2,000번 전산모사했다. 계통오차의 경우 전산모사에 사용된 표준편차가 커질수록 임상표적체적에 조사되는 최소선량 $D_{min}^{stat{\cdot}}$은 100.4%에서 72.50%로 감소하였고 평균선량 $\bar{D}_{syst{\cdot}}$도 100.45%에서 97.88%로 감소한 반면에 표준편차${\Delta}D_{sys}$는 0.02%에서 3.33%로 증가하였다. 통계오차의 경우 최소선량 $D_{min}^{rand{\cdot}}$은 100.45%에서 94.80%감소하였고 평균선량 $\bar{D}_{syst{\cdot}}$도 100.46%에서 97.87%로 감소하였으며 표준편차 ${\Delta}D_{rand}$는 0.01%에서 0.63%로 증가하였다. 그리고 마진공식으로부터 전산모사에 사용된 셋업오차에 해당되는 마진크기를 구하고 모집단비율(population ratio)을 정의하여 기존 마진공식의 목적이 세기조절방사선치료에 만족함을 확인했다. 개발된 전산모사 프로그램은 해당 환자의 치료계획 정보를 직접 사용하므로 직장암만 아니라 두경부암, 전립선암 등 여러 환부에 적용 가능하며 셋업오차 및 선량변화에 연관된 연구에도 사용할 수 있을 것으로 사료된다.

• Radiation Oncology Journal
• /
• 제28권3호
• /
• pp.155-165
• /
• 2010

목 적: 4-dimensional computed tomography (4DCT) 영상과 on board imaging (OBI) 및 real time position management (RPM) 장치로 매 회 치료 시마다 얻은 호흡연동 직각 kilovolt (KV) 준비 영상(gated orthogonal kilovolt setup image)을 이용해 간암 환자를 치료하는 동안 발생하는 종양 위치의 불확실성을 평가하고자 했다. 대상 및 방법: 3차원입체조형치료가 예정된 20명의 간암 환자를 대상으로 RPM과 전산화단층촬영모의치료기를 이용해 치료계획용 4DCT를 시행했다. 표적 근처에 위치한 간동맥화학색전술 후 집적된 리피오돌(lipiodol) 혹은 횡격막을 종양의 위치 변이를 측정하는 표지자로 선택했다. 표지자의 위치 차이를 이용해 온라인 분할간 및 분할중 내부 장기 변이와 움직임 진폭을 측정했다. 측정된 자료의 정량적 평가를 위해 통계 분석을 실시했다. 결 과: 20명 환자로부터 측정된 표지자의 분할간변이의 중앙값은 X (transaxial), Y (superior-inferior), Z (anterior-posterior) 축에서 각각 0.00 cm (범위, -0.50~0.90 cm), 0.00 cm (범위, -2.4~1.60 cm), 0.00 cm (범위, -1.10~0.50 cm) 였다. 4명의 환자에서 X, Y, Z축 중 하나 이상에서 0.5 cm를 초과하는 변이가 관찰되었다. 4DCT와 호흡연동 직각 준비 영상으로부터 얻은 표적의 움직임 진폭의 차이는 X, Y, Z 축에서 각각 중앙값이 -0.05 cm (범위, -0.83~0.60 cm), -0.15 cm (범위, -2.58~1.18 cm), -0.02 cm (범위, -1.37~0.59 cm) 였다. 두 영상간 표적의 움직임 진폭 차이가 1 cm를 초과하는 환자가 Y축 방향으로 3명 관찰되었으며, 0.5 cm 초과 1 cm 미만의 차이를 보이는 환자도 Y축과 Z축 방향을 합쳐 5명 관찰되었다. 분할중 표지자 위치 변이의 중앙값은 X, Y, Z축에서 각각 0.00 cm (범위, -0.30~0.40 cm), -0.03 cm (범위, -1.14~0.50 cm), 0.05 cm (범위, -0.30~0.50 cm)였으며 2명의 환자에서 1 cm를 초과하는 변이가 Y축 방향으로 관찰되었다. 결 론: 4DCT와 호흡연동 직각 KV 준비 영상으로 얻은 표지자의 분할간, 분할중 및 움직임 진폭에서 큰 변이가 관찰되었다.

• 한국정밀공학회지
• /
• 제22권4호
• /
• pp.84-91
• /
• 2005

We measured the pitch of one-dimensional (ID) grating specimens using a metrological atomic force microscope (M-AFM). The ID grating specimens a.e often used as a magnification standard in nano-metrology, such as scanning probe microscopy (SPM) and scanning electron microscopy (SEM). Thus, we need to certify the pitch of grating specimens fur the meter-traceability in nano-metrology. To this end, an M-AFM was setup at KRISS. The M-AFM consists of a commercial AFM head module, a two-axis flexure hinge type nanoscanner with built-in capacitive sensors, and a two-axis heterodyne interferometer to establish the meter-traceability directly. Two kinds of ID grating specimens, each with the nominal pitch of 288 nm and 700 nm, were measured. The uncertainty in pitch measurement was evaluated according to Guide to the Expression of Uncertainty in Measurement. The pitch was calculated from 9 line scan profiles obtained at different positions with 100 ㎛ scan range. The expanded uncertainties (k = 2) in pitch measurement were 0.10 nm and 0.30 nm for the specimens with the nominal pitch of 288 nm and 700 nm. The measured pitch values were compared with those obtained using an optical diffractometer, and agreed within the range of the expanded uncertainty of pitch measurement. We also discussed the effect of averaging in the measurement of mean pitch using M-AFM and main components of uncertainty.

• Journal of applied mathematics & informatics
• /
• 제35권1_2호
• /
• pp.45-58
• /
• 2017

Recently, Sati and Gupta (2015) proposed two measures of uncertainty based on non-extensive entropy, called the dynamic cumulative residual Tsallis entropy (DCRTE) and the empirical cumulative Tsallis entropy. In the present paper, we extend the definition of DCRTE into the bivariate setup and study its properties in the context of reliability theory. We also define a new class of life distributions based on bivariate DCRTE.

• 천문학회보
• /
• 제37권2호
• /
• pp.210.1-210.1
• /
• 2012

We report technique used for improved measurement uncertainties for Photon detection efficiency(PDE) of $1mm^2$ single pixel SiPM. It consists of 470nm LED light source, two 2-inch integrating sphere and two NIST calibrated silicon photodiodes that have ${\pm}2.4%$ calibration error. With raytracing simulation of our experimental setup, we predict number of photon into SiPM and measurement uncertainty. For MPPC, Hamamatsu suggested PDE(1600 micro pixel) including crosstalk and afterpulse is 23.5% at 470 nm. By using new low calibration error photodiode and raytracing simulation, our simulation result has ${\pm}3%$ measurement uncertainty. The technical detail of measurement, simulation are presented with the results and implication.