• Title/Summary/Keyword: Establishing an equation

Search Result 88, Processing Time 0.025 seconds

Ruin Probabilities in a Risk Model with Two Types of Claims

  • Han, Ji-Yeon;Choi, Seung-Kyoung;Lee, Eui-Yong
    • The Korean Journal of Applied Statistics
    • /
    • v.25 no.5
    • /
    • pp.813-820
    • /
    • 2012
  • A surplus process with two types of claims is considered, where Type I claims occur more frequently, however, their sizes are smaller stochastically than Type II claims. The ruin probabilities of the surplus caused by each type of claim are obtained by establishing integro-differential equations for the ruin probabilities. The formulas of the ruin probabilities contain an infinite sum and convolutions that make the formulas hard to be applicable in practice; subsequently, we obtain explicit formulas for the ruin probabilities when the sizes of both types of claims are exponentially distributed. Finally, we show through a numerical example, that Type II claims have more impact on the ruin probability of the surplus than Type I claims.

Policy Iteration Algorithm Based Fault Tolerant Tracking Control: An Implementation on Reconfigurable Manipulators

  • Li, Yuanchun;Xia, Hongbing;Zhao, Bo
    • Journal of Electrical Engineering and Technology
    • /
    • v.13 no.4
    • /
    • pp.1740-1751
    • /
    • 2018
  • This paper proposes a novel fault tolerant tracking control (FTTC) scheme for a class of nonlinear systems with actuator failures based on the policy iteration (PI) algorithm and the adaptive fault observer. The estimated actuator failure from an adaptive fault observer is utilized to construct an improved performance index function that reflects the failure, regulation and control simultaneously. With the help of the proper performance index function, the FTTC problem can be transformed into an optimal control problem. The fault tolerant tracking controller is composed of the desired controller and the approximated optimal feedback one. The desired controller is developed to maintain the desired tracking performance at the steady-state, and the approximated optimal feedback controller is designed to stabilize the tracking error dynamics in an optimal manner. By establishing a critic neural network, the PI algorithm is utilized to solve the Hamilton-Jacobi-Bellman equation, and then the approximated optimal feedback controller can be derived. Based on Lyapunov technique, the uniform ultimate boundedness of the closed-loop system is proven. The proposed FTTC scheme is applied to reconfigurable manipulators with two degree of freedoms in order to test the effectiveness via numerical simulation.

Development of a radiological emergency evacuation model using agent-based modeling

  • Hwang, Yujeong;Heo, Gyunyoung
    • Nuclear Engineering and Technology
    • /
    • v.53 no.7
    • /
    • pp.2195-2206
    • /
    • 2021
  • In order to mitigate the damage caused by accidents in nuclear power plants (NPPs), evacuation strategies are usually managed on the basis of off-site effects such as the diffusion of radioactive materials and evacuee traffic simulations. However, the interactive behavior between evacuees and the accident environment has a significant effect on the consequential gap. Agent-based modeling (ABM) is a method that can control and observe such interactions by establishing agents (i.e., the evacuees) and patches (i.e., the accident environments). In this paper, a radiological emergency evacuation model is constructed to realistically check the effectiveness of an evacuation strategy using NetLogo, an ABM toolbox. Geographic layers such as radiation sources, roads, buildings, and shelters were downloaded from an official geographic information system (GIS) of Korea, and were modified into respective patches. The dispersion model adopted from the puff equation was also modified to fit the patches on the geographic layer. The evacuees were defined as vehicle agents and a traffic model was implemented by combining the shortest path search (determined by an A * algorithm) and a traffic flow model incorporated in the Nagel-Schreckenberg cellular automata model. To evaluate the radiological harm to the evacuees due to the spread of radioactive materials, a simple exposure model was established to calculate the overlap fraction between the agents and the dispersion patches. This paper aims to demonstrate that the potential of ABM can handle disaster evacuation strategies more realistically than previous approaches.

Nitrification Performance of a Moving Bed Bioreactor (MBBR) at Different Ammonia and Hydraulic Air-Loading Rates under Seawater Conditions (해수 조건에서 총암모니아성 질소 부하량과 수리학적 공기 부하량에 따른 유동상 여과조의 질산화 성능 평가)

  • Jaegeon Lee;Younghun Lee;Jeonghwan Park
    • Korean Journal of Fisheries and Aquatic Sciences
    • /
    • v.56 no.6
    • /
    • pp.870-877
    • /
    • 2023
  • The purpose of this study was to assess the efficiency of nitrification based on ammonia loading rates and hydraulic air-loading rates in a moving bed bioreactor (MBBR) under seawater conditions. The goal was to provide foundational data for the design of these bio reactors. At an ammonia loading rate of 0.2 g TAN·m-2 surface area·day-1, the influent TAN concentration was determined to be 1.76±0.33 mg·L-1, which is below the safe concentration for fish survival (2 mg·L-1). Considering operational aspects, the optimal ammonia-loading rate was derived. Subsequently, experimental results for nitrification efficiency at the optimal ammonia-loading rate revealed that the optimum hydraulic air-loading rate was 1.8 L·air·m-2 surface area·min-1. This condition resulted in the lowest concentrations of TAN and NO2-N in the influent water, thus establishing the optimal hydraulic air-loading rate. A regression equation was derived for the ammonia-removal rate (Y) based on the ammonia-loading rate (x) and expressed as a 0.5-order equation (Y=ax0.5+b). Specifically, for TAN concentrations of 0-6 mg·L-1, the regression equation Y=0.1683x0.5-0.13628, was established.

Increasing Effect in Local Buckling Strength of Laminated Composite Plates Stiffened with Closed-section Ribs under Uniaxial Compression (폐단면리브로 보강된 일축압축을 받는 복합적층판의 국부좌굴강도 증가효과)

  • Hwang, Su-Hee;Kim, Yu-Sik;Choi, Byung-Ho
    • Journal of the Korean Society for Advanced Composite Structures
    • /
    • v.4 no.2
    • /
    • pp.39-44
    • /
    • 2013
  • This study is aimed to examine the influence of the rotational stiffness of U-shaped ribs on the local buckling behaviors of laminated composite plates. Applying the orthotropic plates with eight layers of the layup $[(0^{\circ})4]s$ and $[(0^{\circ}/90^{\circ})2]s$, 3-dimensional finite element models for the U-rib stiffened plates were setup by using ABAQUS and then a series of eigenvalue analyses were conducted. There is a need to develope a simple design equation to establish the rotational stiffness effect, which could be easily quantified by comparing the theoretical critical stress equation for laminated composite plates with elastic restraints based on the Classical laminated plate theory. Through the parametric numerical studies, it is confirmed that there should clearly exist an increasing effect of local plate buckling strength due to the rotational stiffness by closed-section ribs. An applicable coefficient for practical design should be verified and proposed for future study. This study will contribute to the future study for establishing an increasing coefficient for the design strength and optimum design of U-rib stiffened plates.

Assessment of the Risk of Exposure to Chemical Carcinogens

  • Purchase, Iain F.H.
    • Toxicological Research
    • /
    • v.17
    • /
    • pp.41-45
    • /
    • 2001
  • The methods used for risk assessment from exposure to chemicals are well established. in most cases where toxicity other than carcinogenesis is being considered, the standard method relies on establishing the No Observed Adverse Effect Level (NOAEL) in the most sensitive animal toxicity study and using an appropriate safety factor (SF) to determine the exposure which would be associated with an acceptable risk. For carcinogens a different approach is used because it has been argued there is no threshold of effect. Thus mathematical equations are used to extrapolate from the high doses used in ani-mal experiments. These methods have been strongly criticised in recent years on several grounds. The most cogent criticisms are a) the equations are not based on a thorough understanding of the mechanisms of carcinogenesis and b) the outcome of a risk assessment based on such models varies more as a consequence of changes to the assumptions and equation used than it does from the data derived from carcinogenicity experiments. Other criticisms include the absence of any measure of the variance on the risk assessment and the selection of default values that are very conservative. Recent advances in the application of risk assessment emphasise that measures of both the exposure and the hazard should be considered as a distribution of values. The outcome of such a risk assessment provides an estimate of the distribution of the risks.

  • PDF

A Study on the Impact of Cultural Contact Service on Brand Equity

  • SHIN, Ok-Chul;PARK, Jin-Woo
    • Journal of Distribution Science
    • /
    • v.18 no.6
    • /
    • pp.15-24
    • /
    • 2020
  • Purpose: The ultimate purpose of this research is to analyze the influence of direct service experience on brand equity components and continuance intention by focusing on cultural marketing at airport, as a huge market place. Design/methodology: This study examines how the cultural contact experience of an airport's cultural marketing activities affect the brand equity components, as well as how these factors affect the continuance intention. A questionnaire survey is conducted for airport users and a total of 313 copies of the questionnaire are analyzed using a structural equation. Results: The results demonstrate that cultural contact service has a positive effect on brand awareness, brand meaning, and perceived value, and all factors of brand equity components have a positive effect on continuance intention. In addition, MTE also has a significant effect on continuance intention. Conclusions/implications: The purpose of this study was to investigate the relationship between the cultural contact and brand attachment of tourists experiencing airport cultural marketing services on the composition factors of airport brand equity. The results of this study can be used not only as basic data to help establish a cultural marketing strategy at an airport, but also as to aid establishing and implementing a long-term marketing strategy for the sustainable growth of an airport.

Analysis of Errors by Response Assessments of Korean Middle School Students on the 2013 National Assessment of Educational Achievement in Mathematics (문자와 식, 함수 영역에서 보이는 중학생의 수학적 오류 분석: 2013년 국가수준 학업성취도 평가 서답형 문항을 바탕으로)

  • Jo, Yun Dong;Ko, Ho Kyoung
    • Journal of Educational Research in Mathematics
    • /
    • v.25 no.3
    • /
    • pp.281-302
    • /
    • 2015
  • In the current study, answer sheets from 8007 students in 236 Korean schools were selected and analyzed to examine errors that emerge in the process of solving descriptive questions of the National Educational Achievement Assessment in mathematics. Questions used in the analysis were response assessment covering middle school mathematics topics: "mathematical symbols and equations" and "functions." The behavioral domain of the questions was that of "problem solving and computation," which requires establishing an equation for a word problem and allows the calculation of an answer that meets a certain condition. The analysis results revealed various errors in each stage of each question, from understanding to solving; the study attempts to conjecture causes for these errors and draw pedagogical implications.

Ruin probabilities in a risk process perturbed by diffusion with two types of claims (두 가지 유형의 보험청구가 있는 확산과정 리스크 모형의 파산확률)

  • Won, Ho Jeong;Choi, Seung Kyoung;Lee, Eui Yong
    • Journal of the Korean Data and Information Science Society
    • /
    • v.24 no.1
    • /
    • pp.1-12
    • /
    • 2013
  • In this paper, we introduce a continuous-time risk model where the surplus follows a diffusion process with positive drift while being subject to two types of claims. We assume that the sizes of both types of claims are exponentially distributed and that type I claims occur more frequently, however, their sizes are smaller than type II claims. We obtain the ruin probability that the level of the surplus becomes negative, by establishing an integro-differential equation for the ruin probability. We also obtain the ruin probabilities caused by each type of claim and the probability that the level of the surplus becomes negative naturally due to the diffusion process. Finally, we illustrate a numerical example to compare the impacts of two types of claim on the ruin probability of the surplus with that of the diffusion process in the risk model.

Estimation of Chinese Cabbage Growth by RapidEye Imagery and Field Investigation Data

  • Na, Sangil;Lee, Kyoungdo;Baek, Shinchul;Hong, Sukyoung
    • Korean Journal of Soil Science and Fertilizer
    • /
    • v.48 no.5
    • /
    • pp.556-563
    • /
    • 2015
  • Chinese cabbage is one of the most important vegetables in Korea and a target crop for market stabilization as well. Remote sensing has long been used as a tool to extract plant growth, cultivated area and yield information for many crops, but little research has been conducted on Chinese cabbage. This study refers to the derivation of simple Chinese cabbage growth prediction equation by using RapidEye derived vegetation index. Daesan-myeon area in Gochang-gun, Jeollabuk-do, Korea is one of main producing district of Chinese cabbage. RapidEye multi-spectral imagery was taken on the Daesan-myeon five times from early September to late October during the Chinese cabbage growing season. Meanwhile, field reflectance spectra and five plant growth parameters, including plant height (P.H.), plant diameter (P.D.), leaf height (L.H.), leaf length (L.L.) and leaf number (L.N.), were measured for about 20 plants (ten plants per plot) for each ground survey. The normalized difference vegetation index (NDVI) for each of the 20 plants was measured using an active plant growth sensor (Crop $Circle^{TM}$) at the same time. The results of correlation analysis between the vegetation indices and Chinese cabbage growth data showed that NDVI was the most suited for monitoring the L.H. (r=0.958~0.978), L.L. (r=0.950~0.971), P.H. (r=0.887~0.982), P.D. (r=0.855~0.932) and L.N. (r=0.718~0.968). Retrieval equations were developed for estimating Chinese cabbage growth parameters using NDVI. These results obtained using the NDVI is effective provided a basis for establishing retrieval algorithm for the biophysical properties of Chinese cabbage. These results will also be useful in determining the RapidEye multi-spectral imagery necessary to estimate parameters of Chinese cabbage.