This paper chronicles the evolution of load-sharing parameter estimation methodologies, with a particular focus on the significant contributions made by Kim and Kvam (2004) and Park (2012). Kim and Kvam's pioneering work underscored the inherent challenges in deriving closed-form solutions for load-share parameters, which necessitated the use of sophisticated numerical optimization techniques. Park's research, on the other hand, provided groundbreaking closed-form solutions and extended the theoretical framework to accommodate more general distributions of component lifetimes. This was achieved by incorporating EM-type methods for maximum likelihood estimation, which represented a significant advancement in the field. Unlike previous efforts, this paper zeroes in on the specific characteristics and advantages of closed-form solutions for load-share parameters within reliability systems. Much like the basic Economic Order Quantity (EOQ) model enhances the understanding of real-life inventory systems dynamics, our analysis aims to thoroughly explore the conditions under which these closed-form solutions are valid. We investigate their stability, robustness, and applicability to various types of systems. Through this comprehensive study, we aspire to provide a deep understanding of the practical implications and potential benefits of these solutions. Building on previous advancements, our research further examines the robustness of these solutions in diverse reliability contexts, aiming to shed light on their practical relevance and utility in real-world applications.
Mathematically modeling photosynthesis helps to interpret gas exchange in a plant and estimate the photosynthetic rate as affected by environmental factors. Notably, the photosynthetic rate varies among leaf vertical positions within a single plant. The objective of this study was to measure the distinct photosynthetic rate of lily (Lilium Oriental Hybrid ‘Casa Blanca’) at the upper, medium, and basal leaf positions. Subsequently, the FvCB (Farquhar-von Caemmerer-Berry) photosynthesis model was employed to determine the parameters of the model and compared it with a rectangular hyperbola photosynthesis model. The photosynthetic rates were measured at different intracellular CO2 concentrations () and photosynthetic photon flux density (PPFD) levels. SPAD values significantly decreased with lowered leaf position. The photosynthetic rates at the medium and basal leaves were lower compared with the upper leaves. FvCB model parameters, and , showed no significant difference between the medium and basal leaves. Estimated photosynthetic rates from derived parameters by the FvCB model demonstrated over 0.86 of R2 compared with measured data. The rectangular hyperbola model tended to overestimate or underestimate photosynthetic rates at high with high PPFD levels or low with high PPFD levels, respectively, at each leaf position. These results indicated that the parameters of the FvCB model with different leaf positions can be used to estimate the photosynthetic rate of lily.
This study pursues to solve a batch of nonlinear parameter estimation (NPE) problems where a model interpreting the independent and the dependent variables is given and fixed but corresponding data sets vary. Specifically, we assume that the model does not have an explicit form and the discrepancy between a value from a data set and a corresponding value from the model is unknown. Due to the complexity of the problem, one may prefer to use heuristic algorithms rather than gradient-based algorithms, but the performance of the heuristic algorithms depends on their initial settings. In this study, we suggest two schemes to improve the performance of heuristic algorithms to solve the target problem. Most of all, we apply a Bayesian optimization to find the best parameters of the heuristic algorithm for solving the first NPE problem of the batch and apply the parameters of the heuristic algorithm for solving other NPE problems. Besides, we save a list of simulation outputs obtained from the Bayesian optimization and then use the list to construct the initial population set of the heuristic algorithm. The suggested schemes were tested in two simulation studies and were applied to a real example of measuring the critical dimensions of a 2-dimensional high-aspect-ratio structure of a wafer in semiconductor manufacturing.
The structural design of arch roofs or bridges requires the analysis of their unstable behaviors depending on certain parameters defined in the arch shape. Their maintenance should estimate the parameters from observed data. However, since the critical parameters exist in the equilibrium paths of the arch, and a small change in such the parameters causes a significant change in their behaviors. Thus, estimation to find the critical ones should be carried out using a global search algorithm. In this paper we study the parameter estimation for a shallow arch by a quantum-inspired evolution algorithm. A cost functional to estimate the system parameters included in the arch consists of the difference between the observed signal and the estimated signal of the arch system. The design variables are shape, external load and damping constant in the arch system. We provide theoretical and numerical examples for estimation of the parameters from both contaminated data and pure data.
Recently the incidence of rollover accidents has increased due to the increase of SUV, and the probability of occupant injury in rollover accidents is very high, so research is needed accordingly. In this study, PC-CRASH, which is a program used for traffic accident analysis, is used for checking rollover speed and rollover angle of each situation in case of rollover accident, and applied to design variables of LS-DYNA which is finite element analysis program, so deformation displacements of roof according to collision velocity and angle were derived. Also, it is possible to predict rollover vehicle speed by using the derived value and the measured deformation displacement of roof in actual rollover accident, and it is possible to reconstruct accident more accurately by applying to PC-Crash which is traffic accident reconstruction program, so it is thought that it can be utilized analyzing traffic accident usefully.
The citrus leaf miner (CLM) is an important citrus pest. A thorough understanding of the biology and population dynamics of CLM are essential for development of reliable pest population prediction system. We investigated the developmental periods of the species under ten constant temperature schemes (12.5℃~39℃). Furthermore, we established a development model of CLM, based on the result of a laboratory experiment. The immature developmental duration of CLM at constant temperatures were 63.5 days at 15℃, 23.9 days at 21℃, 15.6 days at 27℃, and 12.3 days at 33℃, showing statistically significant difference among temperature regimes. The lower threshold temperature and thermal constant were 11.3℃ and 243.7 DD, respectively, for immature development. In relation to temperature, non-linear development models were established for each developmental stage of CLM.
최근 정삼투(FO) 공정의 성능향상을 위해 유입수에 낮은 수압을 가하는 가압형 정삼투(PAFO) 공정이 관심을 받 고 있다. Structure parameter는 FO 및 PAFO 공정 운전시 유도용질의 확산 저항성(Solute resistivity)을 결정하며, 이는 Solution-diffusion model (S-D model)을 통한 수투과 및 염투과 성능 예측을 지배하는 인자 중에 하나이다. 본 연구는 S-D model을 이용하여 가압형 정삼투시 유입수 측에 가해지는 압력에 따른 Structure parameter 변화 양상을 예측하고자 하였다.
건전성 예측은 구조물의 고장이 발생될 때까지 남은 시간인 잔존유효수명을 예측하는 것으로, 이는 안전 및 정비 계획과 직접적으로 연관되기 때문에 매우 중요하다. 건전성 예측방법에는 물리모델 기반방법, 데이터 기반방법과 두 방법의 장점 을 통합하는 방법이 있으며, 본 연구에서는 잔존수명 예측의 정확도가 모델변수 추정과 직접적으로 관련되는 물리모델 기 반 건전성 예측에 초점을 맞춘다. 물리모델기반 건전성 예측에서는 모델변수 추정을 통해 시스템 상태의 장기 예측이 가능 하지만, 대부분의 실제 구조물들의 상태모델은 여러 개의 모델변수를 포함함은 물론이고, 그 변수들이 서로 상관되어 있기 때문에 모델변수를 추정하는 일은 간단한 문제가 아니다. 본 연구에서는 물리모델 기반 건전성 예측을 위한 세 가지 변수 추정방법들의 차이를 논한다. 이 세 가지 방법들은 파티클 필터, 전반적인 베이지안 접근법, 그리고 순차적인 베이지안 접 근법으로 모두 베이지안 추론이라는 하나의 이론적 바탕에 기반하지만, 샘플링 방법이나 갱신 절차 등에서 차이가 있다. 균열성장을 표현하는 Paris 모델의 변수 추정을 통해 세 가지 방법의 차이점이 논해지고, 건전성 예측 메트릭을 이용하여 정량적 차이를 표현한다. 파티클 필터방법이 건전성 예측 메트릭 측면에서 가장 높은 성능을 나타내었지만, 전반적인 베이 지안 방법은 파티클 필터방법과 근소한 차이를 보이면서도 데이터가 집단으로 존재할 때에는 가장 효율적인 방법으로 나 타났다.
Poisson model and Gamma-Poisson model are popularly used to analyze statistical behavior from defective data. The methods are based on binary criteria, that is, good or failure. However, manufacturing industries prefer polytomous criteria for classifying
Negative binomial yield model for semiconductor manufacturing consists of two parameters which are the average number of defects per die and the clustering parameter. Estimating the clustering parameter is quite complex because the parameter has not clear
Ni-W(1-5 at.%) alloy rods were made by powder metallurgy process including powder mixing, compacting and subsequent sintering. Ni and W powder of appropriate compositions were mixed by a ball milling and isostatically pressed in a rubber mold into a rod. The compacted rods were sintered at at a reduced atmosphere for densification. The lattice parameters of Ni-W alloys were estimated by a high resolution neutron powder diffractometer. All sintered rods were found to have a face centered cubic structure without any impurity phase, but the diffraction peak locations were linearly shifted with increasing W content. The lattice parameter of a pure Ni rod was which is consistent with the value reported in JCPDS data. The lattice parameter of N-W alloy rods increased by for 1 atomic % of W, which indicates the formation of a Ni-W solid solution due to the substitution of nickel atoms by tungsten atoms of larger size.
한반도 남동부에서 관측된 지진기록을 이용하여 스펙트럼 감쇠상수 \chi와 응력강하상수를 계산하였다. 특히, 스펙트럼 감쇠상수 \chi는 관측소별로 부지고유의 특성을 반영하여 새로운 방법으로 계산하였다. 이 방법은 2단계의 계산과정으로 구성된다. 첫 번째 단계에서는 코다(coda)파 정규화법을 이용하여 광역적 상수인 비탄성감쇠 Q를 역산하고, 이로부터 스펙트럼의 거리종속적인 감쇠효과를 일으키는 \chi_{q}값을 계산한다. 두 번째 단계에서는 앞서 계산된 \chi_{q}값을 관측소별로 동일하게 적용하여 거리와 무관한 스펙트럼 감쇠효과인 부지고유의 \chi_{s}값을 추정한다. 관측소에 관계없이 평균적으로 계산된 \chi값의 진원거리(R)에 따른 경향은 0.016+0.000157R이다. 응력강하상수는 1999년 경주근방에서 세 차례 발생한 지진의 관측자료를 이용하여 조남대와 박창업 방법으로 계산하였으며, 그 결과는 92-bar이다. 이들 상수를 이용하여 추계학적 모사법으로 한반도 남동부에서 발생 가능한 강지진동의 최대지반운동과 주파수에 따른 특성을 간접적으로 추정하였다. 이러한 추계학적 모사의 결과를 바탕으로 진원거리에 따른 지진동 감쇠공식을 유도하였으며 기존의 국내연구와 비교, 분석하였다.하였다
This paper described the effect of subjective approach in case of the human sensibility experiments. The procedure is proceeded subjectively. Human faces are selected as the image presentation media. Pleasant and unpleasant images are selected directly by examiner, And also the image presentation system, which is executed with a computer and has the square-type black box monitor equipment, is manufactured. Images are presented with the step-variation time interval technique. questionnaire test and EEG signal detection data are analyzed. The analysis parameters are a “frequency band integral value” and a “band differential variation ratio”. he results show the high sensibility and fast response. The fact that image presenting repetition alleviates is verified.