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Exploring Variability in Sea Level at a Tide Gauge Station through Control Charts
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作者 H.Bâkiİz 《Journal of Environmental & Earth Sciences》 CAS 2024年第1期11-18,共8页
Monitoring temporal changes in sea level is important in assessing coastal risk.Sea level anomalies at a tide gauge station,if kinematically conceived,include systematic variations such as trend,acceleration,periodic ... Monitoring temporal changes in sea level is important in assessing coastal risk.Sea level anomalies at a tide gauge station,if kinematically conceived,include systematic variations such as trend,acceleration,periodic oscillations,and random disturbances.Among them,the non-stationary nature of the random sea level variations of known or unknown origin at coastal regions has been long recognized by the sea level community.This study proposes the analyses of subgroups of random residual statistics of a rigorously formulated kinematic model solution of tide gauge variations using X-bar and S control charts.The approach is demonstrated using Key West,Florida tide gauge records.The mean and standard errors of 5-year-long subgroups of the residuals revealed that sea level changes at this location have been progressively intensifying from 1913 to the present.Increasing oscillations in sea level at this locality may be attributed partly to the thermal expansion of seawater with increasing temperatures causing larger buoyancy-related sea level fluctuations as well as the intensification of atmospheric events including wind patterns and the impact of changes in inverted barometer effects that will alter coastal risk assessments for the future. 展开更多
关键词 Climate change Sea level variance X-bar S control charts
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Japanese candlestick charts for diabetes
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作者 Diana Boj-Carceller 《World Journal of Methodology》 2024年第2期167-171,共5页
Continuous glucose monitoring(CGM)is a popular technology among the diabetic population,especially in patients with type 1 diabetes and those with type 2 diabetes treated with insulin.The American Diabetes Association... Continuous glucose monitoring(CGM)is a popular technology among the diabetic population,especially in patients with type 1 diabetes and those with type 2 diabetes treated with insulin.The American Diabetes Association recommends standardization of CGM reports with visual cues,such as the ambulatory glucose profile.Nevertheless,interpreting this report requires training and time for CGM to be cost-efficient.In this work it has been proposed to incorporate Japanese candlestick charts in glucose monitoring.These graphs are used in price analysis in financial markets and are easier to view.Each candle provides extra information to make prudent decisions since it reports the opening,maximum,minimum and closing glucose levels of the chosen time frame,usually the daily one.The Japanese candlestick chart is an interesting tool to be considered in glucose control.This graphic representation allows identification of glucose trends easily through the colors of the candles and maximum and minimum glucose values. 展开更多
关键词 Japanese candlestick chart Candlestick chart Ambulatory glucose profile Glucose monitoring Continuous glucose monitoring HYPOGLYCEMIA
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Memory-Type Control Charts Through the Lens of Cost Parameters
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作者 Sakthiseswari Ganasan You Huay Woon +1 位作者 Zainol Mustafa Dadasaheb G.Godase 《Intelligent Automation & Soft Computing》 SCIE 2023年第4期1-10,共10页
A memory-type control chart utilizes previous information for chart construction.An example of a memory-type chart is an exponentially-weighted moving average(EWMA)control chart.The EWMA control chart is well-known an... A memory-type control chart utilizes previous information for chart construction.An example of a memory-type chart is an exponentially-weighted moving average(EWMA)control chart.The EWMA control chart is well-known and widely employed by practitioners for monitoring small and moderate process mean shifts.Meanwhile,the EWMA median chart is robust against outliers.In light of this,the economic model of the EWMA and EWMA median control charts are commonly considered.This study aims to investigate the effect of cost parameters on the out-of-control average run lengthðARL_(1)Þin implementing EWMA and EWMA median control charts.The economic model was used to compute the ARL_(1) parameter.The 14 input parameters were identified and the analysis was carried out based on the one-parameter-at-a-time basis.When the input parameters change based on a predetermined percentage,the ARL_(1) is affected.According to the results of the EWMA chart,nine input parameters had an effect andfive input parameters had no effect on the ARL_(1) parameter.Further,only seven of the 14 input parameters had an effect on the ARL_(1) of the EWMA median chart.However,the effect of each input parameter on the ARL_(1) was different.Moreover,the ARL_(1) for the EWMA median chart was smaller than the EWMA chart.This analysis is crucial to observe and determine the input parameters that have a significant impact on the ARL_(1) of the EMWA and EWMA median control charts.Hence,practitioners can obtain an overview of the influence of the input parameters on the ARL_(1) when implementing the EWMA and EWMA median control charts. 展开更多
关键词 Economic model average run length memory-type control chart cost parameters statistical quality control
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SSH框架与HighCharts整合的WEB应用研究 被引量:1
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作者 叶品菊 梁浩川 《黑龙江科技信息》 2015年第36期222-222,共1页
主要研究基于SSH框架与High Charts的家庭理财管理软件的开发设计。项目采用SSH框架开发技术、使用Java和HighCharts插件,实现了收入与消费信息统计、汇总等功能,并使用High Charts技术将消费和收入的汇总数据以图表的形式展示给用户,... 主要研究基于SSH框架与High Charts的家庭理财管理软件的开发设计。项目采用SSH框架开发技术、使用Java和HighCharts插件,实现了收入与消费信息统计、汇总等功能,并使用High Charts技术将消费和收入的汇总数据以图表的形式展示给用户,最后给用户提供理财建议,为家庭理财提供更有效的管理途径。 展开更多
关键词 SSH HIGH charts 家庭理财 图表
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基于JS Charts实现Web应用数据的可视化
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作者 刘班 《电子技术与软件工程》 2019年第20期152-153,共2页
本文论述了JS Charts组件的基本使用方法。JS Charts实现数据可视化显示,具有兼容性好、可定制性强、图表类型丰富以及简单易用的优点。
关键词 数据可视化 WEB应用 JS charts
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Validation of Hoek-Brown failure criterion charts for rock slopes 被引量:2
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作者 A.M.Nekouei K.Ahangari 《International Journal of Mining Science and Technology》 SCIE EI 2013年第6期805-808,共4页
Although stability charts suggested by Hoek and Bray on the basis of Mohr-Coulomb criterion are used for rock slopes,but complete and precise recognition is required for distinguishing cohesive strength and Mohr-Coulo... Although stability charts suggested by Hoek and Bray on the basis of Mohr-Coulomb criterion are used for rock slopes,but complete and precise recognition is required for distinguishing cohesive strength and Mohr-Coulomb equivalent internal friction angle for rock mass.The paper by Lia et al.[6]is the only one that introduced rock slope charts according to Hoek-Brown failure criterion.In this paper,at first,this type of charts is introduced.Then,Mohr-Coulomb failure criterion charts[2]are compared and validated with Hoek-Brown failure criterion ones[6].Next,Bishop method utilizing Slide software is compared with Hoek-Brown failure criterion stability charts.Average standard deviation(ASD),root mean square error(RMSE)and variance account for(VAF)were used for the comparison.According to the results,because of high distribution and very low correlation among the comparisons,Hoek-Brown failure criterion charts are not efficient. 展开更多
关键词 Slope stability Stability charts Mohr-Coulomb failure criterion Hoek-Brown failure criterion
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Automated Identification of Basic Control Charts Patterns Using Neural Networks 被引量:5
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作者 Ahmed Shaban Mohammed Shalaby +1 位作者 Ehab Abdelhafiez Ashraf S. Youssef 《Journal of Software Engineering and Applications》 2010年第3期208-220,共13页
The identification of control chart patterns is very important in statistical process control. Control chart patterns are categorized as natural and unnatural. The presence of unnatural patterns means that a process i... The identification of control chart patterns is very important in statistical process control. Control chart patterns are categorized as natural and unnatural. The presence of unnatural patterns means that a process is out of statistical control and there are assignable causes for process variation that should be investigated. This paper proposes an artificial neural network algorithm to identify the three basic control chart patterns;natural, shift, and trend. This identification is in addition to the traditional statistical detection of runs in data, since runs are one of the out of control situations. It is assumed that a process starts as a natural pattern and then may undergo only one out of control pattern at a time. The performance of the proposed algorithm was evaluated by measuring the probability of success in identifying the three basic patterns accurately, and comparing these results with previous research work. The comparison showed that the proposed algorithm realized better identification than others. 展开更多
关键词 Artificial Neural Networks (ANN) CONTROL charts CONTROL charts PATTERNS Statistical Process CONTROL (SPC) Natural PATTERN SHIFT PATTERN TREND PATTERN
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Construction of Control Charts for Monitoring Various Parameters Related to the Management of the COVID-19 Pandemic 被引量:2
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作者 Mame Faty Mbaye Ngor Sarr Baba Ngom 《Journal of Biosciences and Medicines》 2021年第3期9-19,共11页
To monitor the quality characteristics of a process, appropriate graphical and statistical tools must be used. These tools are capable of showing the evolution over time of the behavior of the quality characteristics ... To monitor the quality characteristics of a process, appropriate graphical and statistical tools must be used. These tools are capable of showing the evolution over time of the behavior of the quality characteristics (measurable or countable) and detecting situations that seem to present certain anomalies. The control chart is one of these tools widely used in quality management. In the process of managing the COVID-19 pandemic, this tool will make it possible to know at all times whether the parameters monitored such as the positivity rate, the recovery rate, and the mortality rate, are under control and to act accordingly. Monitoring cure and mortality rates will also show us the effectiveness of the treatments used. 展开更多
关键词 COVID-19 Statistical Process Control Control charts Healthcare
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The Principle of Mathematical Induction Applied to the Generalized Model for the Economic Design of X-Control Charts 被引量:1
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作者 Mohamed E. Seliaman Salih O. Duffuaa 《Open Journal of Applied Sciences》 2012年第4期236-240,共5页
Rahim and Banerjee [1] developed a general model for the optimal design of x-control charts. The model minimizes the expected cost per unit time. The heart of the model is a theorem that derives the expected total cos... Rahim and Banerjee [1] developed a general model for the optimal design of x-control charts. The model minimizes the expected cost per unit time. The heart of the model is a theorem that derives the expected total cost and the expected cycle length. In this paper an alternative simple proof for the theorem is provided based on mathematical induction. 展开更多
关键词 Discrete MATHEMATICS Mathematical INDUCTION STATISTICAL Quality CONTROL Design of -Control charts HAZARD Rate Function
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New Hybrid EWMA Charts for Efficient Process Dispersion Monitoring with Application in Automobile Industry
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作者 Xuechen Liu Majid Khan +2 位作者 Zahid Rasheed Syed Masroor Anwar Muhammad Arslan 《Computer Modeling in Engineering & Sciences》 SCIE EI 2022年第5期1171-1195,共25页
The EWMAcharts are thewell-knownmemory-type charts used formonitoring the small-to-intermediate shifts in the process parameters(location and/or dispersion).The hybrid EWMA(HEWMA)charts are enhanced version of the EWM... The EWMAcharts are thewell-knownmemory-type charts used formonitoring the small-to-intermediate shifts in the process parameters(location and/or dispersion).The hybrid EWMA(HEWMA)charts are enhanced version of the EWMA charts,which effectivelymonitor the process parameters.This paper aims to develop two new uppersided HEWMAcharts for monitoring shifts in process variance,i.e.,HEWMA1 and HEWMA2 charts.The design structures of the proposed HEWMA1 and HEWMA2 charts are based on the concept of integrating the features of two EWMAcharts.TheHEWMA1 and HEWMA2charts plotting statistics are developed using one EWMAstatistic as input for the other EWMAstatistic.AMonte Carlo simulations method is used as a computational technique to determine the numerical results for the performance characteristics,such as average run length(ARL),median run length,and standard deviation run length(SDRL)for assessing the performance of the proposed HEWMA1 and HEWMA2 charts.In addition,to evaluate the overall performance of the proposed HEWMA1 and HEWMA2 charts,other numerical measures consisting of the extra quadratic loss(EQL),relative average run length(RARL),and performance comparison index(PCI)are also computed.The proposed HEWMA1 and HEWMA2 charts are compared to some existing charts,such as CH,CEWMA,HEWMA,AEWMAHHW1,HHW2,AIB-EWMA-I,and AIB-EWMA-II charts,on the basis aforementioned numerical measures.The comparison reveals that the proposed HEWMA1 and HEWMA2 charts achieve better detection ability against the existing charts.In the end,a real-life data application is also provided to enhance the implementation of the proposed HEWMA1 and HEWMA2 charts practically. 展开更多
关键词 Average run length extra quadratic loss memory-type charts Monte Carlo simulations smoothing parameter
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Contribution to the Analytical Equation Resolution Using Charts for Analysis and Design of Cylindrical and Conical Open Surge Tanks
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作者 Aboudou Seck Musandji Fuamba 《Journal of Water Resource and Protection》 2015年第15期1242-1256,共15页
In the event of an instantaneous valve closure, the pressure transmitted to a surge tank induces the mass fluctuations that can cause high amplitude of water-level fluctuation in the surge tank for a reasonable cross-... In the event of an instantaneous valve closure, the pressure transmitted to a surge tank induces the mass fluctuations that can cause high amplitude of water-level fluctuation in the surge tank for a reasonable cross-sectional area. The height of the surge tank is then designed using this high water level mark generated by the completely closed penstock valve. Using a conical surge tank with a non-constant cross-sectional area can resolve the problems of space and height. When addressing issues in designing open surge tanks, key parameters are usually calculated by using complex equations, which may become cumbersome when multiple iterations are required. A more effective alternative in obtaining these values is the use of simple charts. Firstly, this paper presents and describes the equations used to design open conical surge tanks. Secondly, it introduces user-friendly charts that can be used in the design of cylindrical and conical open surge tanks. The contribution can be a benefit for practicing engineers in this field. A case study is also presented to illustrate the use of these design charts. The case study’s results show that key parameters obtained via successive approximation method required 26 iterations or complex calculations, whereas these values can be obtained by simple reading of the proposed chart. The use of charts to help surge tanks designing, in the case of preliminary designs, can save time and increase design efficiency, while reducing calculation errors. 展开更多
关键词 Hydraulic Transients SURGE Tank Water HAMMER FIRST-ORDER NON-HOMOGENEOUS Differential Equation with Variables COEFFICIENTS Friendly charts
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China Charts the Course for the World Economy and Global Governance
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作者 CHEN JIANQI 《China Today》 2019年第8期34-35,共2页
Adecade after the global financial turmoil of 2008, the world economy has once again came to a crossroads. Rising protectionism and unilateralism as well as escalating trade and investment disputes impinge on the inte... Adecade after the global financial turmoil of 2008, the world economy has once again came to a crossroads. Rising protectionism and unilateralism as well as escalating trade and investment disputes impinge on the international industrial pattern and financial stability, undermining the confidence of international investors. In this context, the future of the world economy and global governance drew widespread attention at the G20 Osaka Summit which concluded late June in Japan. 展开更多
关键词 China charts the COURSE the World ECONOMY
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Enhancing Software Process Management through Control Charts
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作者 Vipul Vashisht 《Journal of Software Engineering and Applications》 2014年第2期87-93,共7页
In software development life cycle, Software Process Management (SPM) acts as a significant part throughout the execution of project. In this study, the application of control chart for analyzing the stability of soft... In software development life cycle, Software Process Management (SPM) acts as a significant part throughout the execution of project. In this study, the application of control chart for analyzing the stability of software process and defects in the software product is discussed. This paper will discuss the analyzing impact or collision of rework effort, defect density, inspection performance and productivity by using control charts. This paper also explains the benefits and challenges of using control charts in software organization. 展开更多
关键词 SOFTWARE PROCESS MANAGEMENT Control charts COST of REWORK
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Easy-to-Use Look-Up Hydrologic Design Charts of a Soak-Away Rain Garden in Singapore
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作者 Sivarajah Mylevaganam Ting Fong May Chui Jiangyong Hu 《Open Journal of Civil Engineering》 2015年第3期269-280,共12页
As catchments become urbanized due to population growth the impervious surfaces created by buildings and pavements in the expense of permeable soil, depressions, and vegetation cause rainwater to flow rapidly over the... As catchments become urbanized due to population growth the impervious surfaces created by buildings and pavements in the expense of permeable soil, depressions, and vegetation cause rainwater to flow rapidly over the landscape. To mitigate the adverse impact of urbanization such as increased flooding and depleted groundwater recharge, around the world, several best management practices, in other words, green infrastructures have been practised, and soak-away rain garden is one of them. However, to have a rapid assessment of soak-away rain gardens on a range of potential hydrologic conditions (e.g., size of the soak-away rain garden, saturated hydraulic conductivity of the in-situ soil, and saturated hydraulic conductivity of the filter media), hydrologic design guidelines or design charts of soak-away rain gardens that are specific for local conditions are not currently available for many regions including Singapore. Thus, in this paper, with a design hyetograph of 3-month average rainfall intensities of Singapore, hydrologic design charts, especially, design charts on overflow volume (as a % of total runoff volume) of soak-away rain gardens are established for a range of potential hydrologic conditions by developing a mathematical model based on Richard’s equation using COMSOL Multiphysics, a finite element analysis and solver software package for various physics and engineering applications. These easy-to-use look-up hydrologic design charts will be of great utility for local managers in the design of soak-away rain gardens. 展开更多
关键词 COMSOL MULTIPHYSICS Soak-Away RAIN GARDEN Hydrologic Design charts OVERFLOW Volume
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Economic Design of & S Control Charts Based on Taguchi's Loss Function and Its Optimization
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作者 GUO Yu YANG Wen'an +1 位作者 LIAO Wenhe GAO Shiwen 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2012年第3期576-586,共11页
Much research effort has been devoted to economic design of X & S control charts,however,there are some problems in usual methods.On the one hand,it is difficult to estimate the relationship between costs and other m... Much research effort has been devoted to economic design of X & S control charts,however,there are some problems in usual methods.On the one hand,it is difficult to estimate the relationship between costs and other model parameters,so the economic design method is often not effective in producing charts that can quickly detect small shifts before substantial losses occur;on the other hand,in many cases,only one type of process shift or only one pair of process shifts are taken into consideration,which may not correctly reflect the actual process conditions.To improve the behavior of economic design of control chart,a cost & loss model with Taguchi's loss function for the economic design of X & S control charts is embellished,which is regarded as an optimization problem with multiple statistical constraints.The optimization design is also carried out based on a number of combinations of process shifts collected from the field operation of the conventional control charts,thus more hidden information about the shift combinations is mined and employed to the optimization design of control charts.At the same time,an improved particle swarm optimization(IPSO) is developed to solve such an optimization problem in design of X & S control charts,IPSO is first tested for several benchmark problems from the literature and evaluated with standard performance metrics.Experimental results show that the proposed algorithm has significant advantages on obtaining the optimal design parameters of the charts.The proposed method can substantially reduce the total cost(or loss) of the control charts,and it will be a promising tool for economic design of control charts. 展开更多
关键词 statistical process control control charts Taguchi's loss function optimization particle swarm optimization
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Monitoring Saccharification Process in Brewery Industry Using Quality Control Charts
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作者 Samwel Manyele Nyakorema Rioba 《Engineering(科研)》 2016年第7期481-498,共18页
The aim of this study was to establish a control system for saccharification process using quality control charts. To achieve this goal, temperature, pH and brix were measured at 12 minutes intervals for 15 consecutiv... The aim of this study was to establish a control system for saccharification process using quality control charts. To achieve this goal, temperature, pH and brix were measured at 12 minutes intervals for 15 consecutive batches which took 2 hours each. The time variations for three process parameters were assessed to establish a good understanding of the saccharification process. The temperature varied between 58℃ and 62℃ while the pH decreased slowly due to oxidation, values of which varied between 5.7 and 5.0. Brix values increased linearly with time. The initial and final values of the three parameters varied from one batch to another. Of the three parameters, brix was not well represented on the quality control charts due to wide difference between initial and final values during saccharification. The final brix values varied between batches, from 10.6% to 11.6%. The control charts used in this study were X-bar and Range charts. The rules for interpreting control charts were implemented for both X-bar and R charts, results of which showed that the process was out of control, although some rules were not violated due to little number of batches studied. The values of for temperature and pH data (2.27℃ and 0.35, respectively) were lower compared to brix data (11.2%). The corresponding values of span between control limits, SP<sub>x</sub> and SP<sub>R</sub> for temperature and pH were also comparatively lower than those established from brix data. Due to larger values of for brix measurements, the corresponding control charts for brix were insensitive in identifying out-of-control points during saccharification process. 展开更多
关键词 SACCHARIFICATION Batch Processing Statistical Process Control Control charts Control Limits Number of Subgroups
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Some Group Runs Based Multivariate Control Charts for Monitoring the Process Mean Vector
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作者 Mukund Parasharam Gadre Vikas Chintaman Kakade 《Open Journal of Statistics》 2016年第6期1098-1109,共13页
In this article, we propose two control charts namely, the “Multivariate Group Runs’ (MV-GR-M)” and the “Multivariate Modified Group Runs’ (MV-MGR-M)” control charts, based on the multivariate normal processes, ... In this article, we propose two control charts namely, the “Multivariate Group Runs’ (MV-GR-M)” and the “Multivariate Modified Group Runs’ (MV-MGR-M)” control charts, based on the multivariate normal processes, for monitoring the process mean vector. Methods to obtain the design parameters and operations of these control charts are discussed. Performances of the proposed charts are compared with some existing control charts. It is verified that, the proposed charts give a significant reduction in the out-of-control “Average Time to Signal” (ATS) in the zero state, as well in the steady state compared to the Hotelling’s T2 and the synthetic T2 control charts. 展开更多
关键词 Some Group Runs Based Multivariate Control charts for Monitoring the Process Mean Vector
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Ince-Strutt Stability Charts for Ship Parametric Roll Resonance in Irregular Waves 被引量:2
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作者 ZHANG Xiao YANG He-zhen +1 位作者 XIAO Fei XU Pei-ji 《China Ocean Engineering》 SCIE EI CSCD 2017年第4期447-457,共11页
Ince-Strutt stability chart of ship parametric roll resonance in irregular waves is conducted and utilized for the exploration of the parametric roll resonance in irregular waves. Ship parametric roll resonance will l... Ince-Strutt stability chart of ship parametric roll resonance in irregular waves is conducted and utilized for the exploration of the parametric roll resonance in irregular waves. Ship parametric roll resonance will lead to large amplitude roll motion and even wreck. Firstly, the equation describing the parametric roll resonance in irregular waves is derived according to Grim’s effective theory and the corresponding Ince-Strutt stability charts are obtained. Secondly, the differences of stability charts for the parametric roll resonance in irregular and regular waves are compared. Thirdly, wave phases and peak periods are taken into consideration to obtain a more realistic sea condition. The influence of random wave phases should be taken into consideration when the analyzed points are located near the instability boundary. Stability charts for different wave peak periods are various. Stability charts are helpful for the parameter determination in design stage to better adapt to sailing condition. Last, ship variables are analyzed according to stability charts by a statistical approach. The increase of the metacentric height will help improve ship stability. 展开更多
关键词 parametric instability parametric rolling MULTI-FREQUENCY irregular waves Ince-Strutt stability chart
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Production Planning and Management Using Gantt Charts 被引量:2
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作者 Masahiro Shibuya Xuebin Chen 《Journal of Mechanics Engineering and Automation》 2021年第3期68-76,共9页
In this paper,a support method for business planning and management using software is proposed in order to increase productivity in small and medium-sized industries.Our targets are job shop type production factories,... In this paper,a support method for business planning and management using software is proposed in order to increase productivity in small and medium-sized industries.Our targets are job shop type production factories,which manufacture products that meet specific demands from numerous customers.For these factories to be successful,speedy operational planning and effective management of operations progress for different models in variable quantities are essential.Moreover,effective production and operations management needs to be promoted.Thus,it is necessary to obtain a tool that enables the maximization of throughput using a bird’s-eye view of the entire shop floor and understanding it from the viewpoint of optimization.In our study,planning production and expediting follow-up are conducted using Gantt charts.The system is a simple analog tool that heuristically supports production management through worksite knowledge and experiences without conventional approaches.Furthermore,robotic process automation(RPA)was introduced to reduce the workload of workers.The effectiveness of this prototype system was confirmed by a review of different people in charge. 展开更多
关键词 Gantt chart MZ platform VISUALIZATION Ho-Ren-So open-source model
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Control charts for the Pareto distribution
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作者 GUO Bao-cai WANG Bing-xing 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2015年第4期379-396,共18页
The Pareto distribution plays an important role in various areas of research. In this paper, the average run length (ARL) unbiased control charts, which monitor the shape and threshold parameters of the Pareto distr... The Pareto distribution plays an important role in various areas of research. In this paper, the average run length (ARL) unbiased control charts, which monitor the shape and threshold parameters of the Pareto distribution respectively, are proposed when the incontrol parameters are known. The effects of parameter estimation on the performance of the proposed control charts are also studied. Results show that the control charts with the estimated parameters are not suitable to be used in the known parameter case, thus the ARL-unbiased control charts for the shape and threshold parameters with the desired ARLo, which consider the variability of the parameter estimates, are further developed. The performance of the proposed control charts is investigated in terms of the ARL. Finally, an example is given to illustrate the proposed control charts. 展开更多
关键词 Pareto distribution average run length process control unbiased control chart.
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