• Title/Summary/Keyword: Economic-statistics Design

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Economic Design of $\bar{X}$-Control Charts with Warning Limits under Weibull Failure Model (와이블 고장모형 하에서 경고한계를 고려한 $\bar{X}$ 관리도의 경제적 설계)

  • Jeong, Dong-Wook;Lee, Joo-Ho
    • Journal of Korean Society for Quality Management
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    • v.40 no.2
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    • pp.186-198
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    • 2012
  • Since Duncan(1956) first proposed an economic design of $\bar{X}$-control charts, most of the succeeding works on economic design of control charts assumed the exponential failure model like Duncan. Hu(1984), however, assumed a more versatile Weibull failure model to develop an economic design of $\bar{X}$-control charts and Banerjee and Rahim(1988) further improved Hu's design by changing the assumption of fixed-length sampling intervals to variable-length ones. In this article we follow the approach of Banerjee and Rahim(1988) but include a pair of warning limits inside the control limits in order to search for a failure without stopping the process when the sample mean falls between warning and control limits. The computational results indicate that the proposed model gives a lower cost than Banerjee and Rahim's model unless the early failure probability of a Weibull distribution is relatively large. The reduction in cost is shown to become larger as the cost of production loss outweighs the cost of searches for a failure.

An Economic-Statistical Design of Moving Average Control Charts

  • Yu, Fong-Jung;Chin, Hsiang;Huang, Hsiao Wei
    • International Journal of Quality Innovation
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    • v.7 no.3
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    • pp.107-115
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    • 2006
  • Control charts are important tools of statistical quality control. In 1956, Duncan first proposed the economic design of $\bar{x}-control$ charts to control normal process means and insure that the economic design control chart actually has a lower cost, compared with a Shewhart control chart. An moving average (MA) control chart is more effective than a Shewhart control chart in detecting small process shifts and is considered by some to be simpler to implement than the CUSUM. An economic design of MA control chart has also been proposed in 2005. The weaknesses to only the economic design are poor statistics because it dose not consider type I or type II errors and average time to signal when selecting design parameters for control chart. This paper provides a construction of an economic-statistical model to determine the optimal parameters of an MA control chart to improve economic design. A numerical example is employed to demonstrate the model's working and its sensitivity analysis is also provided.

Economic Design of $\bar{X}$ Control Chart Using a Surrogate Variable (대용변수를 이용한 $\bar{X}$ 관리도의 경제적 설계)

  • Lee, Tae-Hoon;Lee, Jae-Hoon;Lee, Min-Koo;Lee, Joo-Ho
    • Journal of Korean Society for Quality Management
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    • v.37 no.2
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    • pp.46-57
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    • 2009
  • The traditional approach to economic design of control charts is based on the assumption that a process is monitored using a performance variable. However, various types of automatic test equipments recently introduced as a part of factory automation usually measure surrogate variables instead of performance variables that are costly to measure. In this article we propose a model for economic design of a control chart which uses a surrogate variable that is highly correlated with the performance variable. The optimum values of the design parameters are determined by maximizing the total average income per cycle time. Numerical studies are performed to compare the proposed $\bar{X}$ control charts with the traditional model using the examples in Panagos et al. (1985).

Economic-Statistical Design of Double Sampling T2 Control Chart under Weibull Failure Model (와이블 고장모형 하에서의 이중샘플링 T2 관리도의 경제적-통계적 설계 (이중샘플링 T2 관리도의 경제적-통계적 설계))

  • Hong, Seong-Ok;Lee, Min-Koo;Lee, Jooho
    • Journal of Korean Society for Quality Management
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    • v.43 no.4
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    • pp.471-488
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    • 2015
  • Purpose: Double sampling $T^2$ chart is a useful tool for detecting a relatively small shift in process mean when the process is controlled by multiple variables. This paper finds the optimal design of the double sampling $T^2$ chart in both economical and statistical sense under Weibull failure model. Methods: The expected cost function is mathematically derived using recursive equation approach. The optimal designs are found using a genetic algorithm for numerical examples and compared to those of single sampling $T^2$ chart. Sensitivity analysis is performed to see the parameter effects. Results: The proposed design outperforms the optimal design of the single sampling $T^2$ chart in terms of the expected cost per unit time and Type-I error rate for all the numerical examples considered. Conclusion: Double sampling $T^2$ chart can be designed to satisfy both economic and statistical requirements under Weibull failure model and the resulting design is better than the single sampling counterpart.

An Economic Design of the Chart with Variable Sample Size Scheme

  • Park, Chang-Soon;Ji, Seon-Su
    • Journal of the Korean Statistical Society
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    • v.23 no.2
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    • pp.403-420
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    • 1994
  • An economic design of the $\bar{X}-R$ chart using variable sample size (VSS) scheme is proposed in this paper. In this design the sample size at each sampling time changes according to the values of the previous two sample statistics, sample mean and range. The VSS scheme uses large sample if the sample statistics appear near inside the control limits and smaller sample otherwise. The set of process parameters, such as the sampling interval, control limits and the sample sizes, are chosen to minimize the expected cost per hour. The efficiency of the VSS scheme is compared to the fixed sample size one for cases where there is multiple of assignable causes. Percent reductions of the expected cost in the VSS design are calculated for some given sets of cost parameters. It is shown that the VSS scheme improves the confidence of the procedure and performs statistically better in terms of the number of false alarms and the average time to signal, respectively.

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Sentiment Analysis on Indonesia Economic Growth using Deep Learning Neural Network Method

  • KRISMAWATI, Dewi;MARIEL, Wahyu Calvin Frans;ARSYI, Farhan Anshari;PRAMANA, Setia
    • The Journal of Industrial Distribution & Business
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    • v.13 no.6
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    • pp.9-18
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    • 2022
  • Purpose: The government around the world is still highlighting the effect of the new variant of Covid-19. The government continues to make efforts to restore the economy through several programs, one of them is National Economic Recovery. This program is expected to increase public and investor confidence in handling Covid-19. This study aims to capture public sentiment on the economic growth rate in Indonesia, especially during the third wave of the omicron variant of the covid-19 virus, that is at the time in the fourth quarter of 2021. Research design, data, and methodology: The approach used in this research is to collect crowdsourcing data from twitter, in the range of 1st to 10th October 2021. The analysis is done by building model using Deep Learning Neural Network method. Results: The result of the sentiment analysis is that most of the tweets have a neutral sentiment on the Economic Growth discussion. Several central figures who discussed were Minister of Coordinating for the Economy of Indonesia, Minister of State-Owned Enterprises. Conclusions: Data from social media can be used by the government to capture public responses, especially public sentiment regarding economic growth. This can be used by policy makers, for example entrepreneurs to anticipate economic movements under certain conditions.

Economic Design of Variable Sampling Interval X Control Chart Using a Surrogate Variable (대용변수를 이용한 가변형 부분군 채취 간격 X 관리도의 경제적 설계)

  • Lee, Tae-Hoon;Lee, Jooho;Lee, Minkoo
    • Journal of Korean Institute of Industrial Engineers
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    • v.39 no.5
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    • pp.422-428
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    • 2013
  • In many cases, an $\bar{X}$ control chart which is based on the performance variable is used in industrial fields. However, if the performance variable is too costly or impossible to measure and a less expensive surrogate variable is available, the process may be more efficiently controlled using surrogate variables. In this paper, we propose a model for the economic design of a VSI (Variable Sampling Interval) $\bar{X}$ control chart using a surrogate variable that is linearly correlated with the performance variable. The total average profit model is constructed, which involves the profit per cycle time, the cost of sampling and testing, the cost of detecting and eliminating an assignable cause, and the cost associated with production during out-of-control state. The VSI $\bar{X}$ control charts using surrogate variables are expected to be superior to the Shewhart FSI (Fixed Sampling Interval) $\bar{X}$ control charts using surrogate variables with respect to the expected profit per unit cycle time from economic viewpoint.

Social Support Analysis on Economic Activity Intention for Korean Chinese in Korea

  • Kim, Jong-Jin
    • The Journal of Industrial Distribution & Business
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    • v.8 no.3
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    • pp.11-18
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    • 2017
  • Purpose - This study aims to analyze the effects of the social support on the economic activities from the Korean Chinese residing in Korea. Particularly, this paper focuses on the consequence of the economic activity intention according to the three kinds of social support. Research design, data, and methodology - For the statistics process of data collected by this survey, SPSS 19 statistics package program was used through data-coding and data-cleaning processes to analyze the data in this study. Results - This hypothesis was selected partially. As a result of investigating hypotheses in detail, Hypothesis 1-2 was significant as shown in the significance level 0.1, and when the emotional support was regarded important, the will of economic activities was also higher. Hypothesis 1-2 was found to be meaningful with the significance level of 0.05, and when the social support was regarded important, the will of economic activities was also higher. Lastly, Hypothesis 1-3 was found to not be statistically significant. Conclusions - The results of this study are expected to be used as basic data for vitalization of the Korean Chinese' economic activities and governmental support for it, and to be a guideline in preparing successful strategies for expansion of the Korean Chinese' economic activities in the future by applying these results.

Preventing Capital Flight to Reach Lucrative Investment In Indonesia

  • BASORUDIN, Muhammad;KUSMARYO, R. Dwi Harwin;RACHMAD, Sri Hartini
    • Asian Journal of Business Environment
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    • v.10 no.1
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    • pp.29-36
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    • 2020
  • Purpose: This study aims to analyze the effect of macroeconomic and non-macroeconomic determinants of capital flight. Research design, data and methodology: With five determinants, this survey was conducted by Eviews 10, and the ordinary least squares (OLS) as a statistical method was applied for examining the research hypothesis. The five determinants are a budget deficit, economic growth, inflation rate, the exchange rate, and sovereign rating. The capital flight measurement uses the World Bank residual approach. The data derive from the Central Bank of Indonesia, BPS-Statistics Indonesia, OECD, and Moody's Investor Service. Results: The result considers that economic growth, the exchange rate, and the sovereign rating will decrease capital flight. In addition, the budget deficit and the inflation rate will increase capital flight. The sovereign rating decreases capital flight bigger than the other determinants. In addition, the exchange rate is statistically significant. Conclusions: The most influential problem of capital flight in Indonesia is because of non-macroeconomics factor political issue, corruption, bad regulation, and others. That's why the investment climate in Indonesia is still not secure. We propose that the regime would have to amend the business rule for reducing capital, raising the investment climate, and demonstrating the creative industry.

Economic Design of Variable Sample Size ${\bar{X}}$ Control Chart Using a Surrogate Variable (대용변수를 이용한 가변형 부분군 크기 ${\bar{X}}$ 관리도의 경제적 설계)

  • Lee, Tae Hoon;Lee, Min Koo;Kwon, Hyuck Moo;Hong, Sung Hoon;Lee, Jooho
    • Journal of Korean Society for Quality Management
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    • v.45 no.4
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    • pp.943-956
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    • 2017
  • Purpose: This paper proposes a VSS(Variable Sample Size) ${\bar{X}}$ control chart using surrogate variable and shows its effectiveness compared with FSS(Fixed Sample Size) ${\bar{X}}$ control chart using either performance variable or surrogate variable. Methods: The expected cost function of VSS ${\bar{X}}$ control chart is derived. The optimal designs are then found for numerical examples using a GA(genetic algorithm) and compared to those of the FSS ${\bar{X}}$ control charts. Results: Computational results show that VSS ${\bar{X}}$ control chart using surrogate variables is superior to FSS ${\bar{X}}$ control chart using either performance variable or surrogate variable from the economic view points. Conclusion: The proposed VSS ${\bar{X}}$ control chart will be useful in industry fields where a performance variable is not avaliable or too costly.