• Title/Summary/Keyword: Design charts

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Percentile-based design of exponentially weighted moving average charts (지수가중이동평균 관리도의 백분위수 기반 설계)

  • Jiyun Ku;Jaeheon Lee
    • The Korean Journal of Applied Statistics
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    • v.37 no.2
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    • pp.177-189
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    • 2024
  • The run length is defined as the number of samples or subgroups taken before the control chart statistic exceeds the control limits. Because the distribution of run length is typically asymmetric and has a large variability, it may not be appropriate to use ARL (average run length) alone to design control charts and evaluate performance. In this paper, we introduce the concept of percentile (PL)-based design of control charts, and propose the procedure for PL-based design of EWMA (exponentially weighted moving average) charts. For the PL-based design of EWMA, we present a fitted function for the control chart coefficient, given specific percentile parameters. Additionally, we perform simulations to compare the proposed design with the ARL-based design. The simulation results show that the proposed design yields improvements in monitoring in-control processes while maintaining the ability to detect out-of-control performance.

The Design of Control Chart Based on a Short-run Production Process (단속공정 품질관리도 설계)

  • 김종걸;정연승
    • Proceedings of the Safety Management and Science Conference
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    • 2000.11a
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    • pp.217-234
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    • 2000
  • Approximately normalized control charts, called Q charts, have been given Quesenberry(1991) for charting in process of short-run, job-shop, etc. We consider a Q chart with inspection error for job-shop floor under geometric distribution, which can be used for processes when a fraction nonconforming is very small. Our results would be applied for designing other control charts with inspection error.

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The Analysis and Design of Tree-LDPC codes with EXIT charts (EXIT charts를 이용한 Tree-LDPC 코드의 분석 및 설계)

  • Lee, Sung-Jun;Heo, Jun
    • Proceedings of the IEEK Conference
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    • 2006.06a
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    • pp.1049-1050
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    • 2006
  • In this paper, we present the analysis of Tree-LDPC codes using EXIT(Extrinsic information transfer) charts methods. Two different EXIT charts schemes are compared. One is based on the closed form equation and the other is based on Monte-Carlo simulation. The thresholds by these two schemes match well with the threshold by DE(density evolution) scheme. Simulation performance is also shown with the obtained thresholds.

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The Design Charts for Soil Nailing Slopes Through Limit Equilibrium Method (한계평형해석을 사용한 Soil Nailing보강사면의 설계도표의 제안)

  • Kim, Hak-Moon;Jang, Kyung-Jun;Seo, Jin-Won
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.10
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    • pp.2794-2802
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    • 2009
  • Soil nailing method is widely used in reinforcing slopes and excavating earth. The analysis of nail-reinforced slopes, generally require complicated computer programs. The purpose of this paper is suggest, Soil stability Chart for nailed slopes which are very useful for pre-design, rapidly design, and final check. Three slope types, three nail lengths and three nail angles are selected for the stability analysis by using limit equilibrium method form Bishop and French. From the above results, this study propose the reinforced design charts for examine the necessity of reinforcement can be examined. The suggested stability chart and Taylor's Slope Stability Chart, showed similar safety factors. This Soil Nailing design charts can provide the solutions for necessity of reinforcement, economical of nail's length ratio and installation angle as well.

Vertical load on a conduit buried under a sloping ground

  • Khan, Muhammad U.A.;Shukla, Sanjay K.
    • Geomechanics and Engineering
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    • v.24 no.6
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    • pp.599-610
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    • 2021
  • Conduits are commonly installed below the ground for utility conveyance around the world. Vertical load on a buried conduit is an important parameter that needs to be known to ensure its safe design and installation. Consideration of soil arching in load calculations helps achieve a more realistic and efficient design. In the past, considering the arching effect, the design charts have been presented for use by practicing engineers to calculate the vertical load on the conduit buried below the level ground. There are currently no design charts for calculating the vertical load on the conduit buried under a sloping ground. In this paper, an attempt has been made to present the derivation of a generalized analytical expression considering that the soil mass overlying the conduit has a sloping face and the arching phenomenon takes place. The developed generalized expression has been used to present some design charts considering specific values of slope geometry, soil properties and burial depths. Furthermore, analytical results for specific soil parameters have been compared with the results extracted from a commercial software PLAXIS 2D, for a developed numerical model and an independent study.

A Study of Control Chart for Skewness

  • Lee, Jung Jin
    • Journal of Korean Society for Quality Management
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    • v.23 no.4
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    • pp.1-12
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    • 1995
  • Sample skewness has not received much attention from researchers to design a control chart. In this paper, control charts based on two skewness measures are studied to control a manufacturing process. One skewness measure is the third central moment about mean, the other is the third L-moment which is a linear combination of order statistics. Since the exact sampling distributions of two skewness measures are unknown, empirical sampling distributions are studied using simulation. The sampling distributions are used to design control charts for skewness and performance of two skewness measures is compared.

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Economic Design of Synthetic Control Charts (합성 관리도의 경제적 설계)

  • 임태진;김용덕
    • Journal of Korean Society for Quality Management
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    • v.31 no.2
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    • pp.117-130
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    • 2003
  • This paper investigates the economic design of synthetic control charts. The synthetic control chart has been proven to be statistically superior to the $\bar{X}$-control chart, but its economic characteristics have not been known. We develop an economic model of the synthetic control chart, based on Duncan's model. The synthetic chart has one more decision variable, the lower control limit for the conforming run length. In addition to this, the significance level and the power of the synthetic chart are more complicated than those of the $\bar{X}$-chart. These features make the optimization problem more difficult. We propose an optimization algorithm by adapting the congruent gradient algorithm. We compare the optimal cost of the synthetic chart with that of (equation omitted)-control chart, under the same input parameter set of Duncan’s. For all cases investigated, the synthetic chart shows superior to the $\bar{X}$-chart. The synthetic control chart is easy to implement, and it has better characteristics than the $\bar{X}$-chart in economical sense as well as in statistical sense, so it will be a good alternative to the traditional control charts.

Design Aids for a Reinforced Concrete Beam with the Minimum Cost Concept

  • Park, Dalsoo;Ahn, Jeehyun;Lee, Chadon
    • Architectural research
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    • v.1 no.1
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    • pp.55-61
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    • 1999
  • In reinforced concrete design, structural member sizes and amount of reinforcing steel areas are usually selected based on the structural designers' experience. Most existing charts provided for the design of reinforced concrete structural members were developed mainly based on force equilibrium conditions and some serviceability criteria. Sections selected from these charts may not result in an economic solution in terms of material costs as well as construction costs. Practical design aids are developed and suggested in this study for the economical design of reinforced concrete beam under flexural loading. With the beam width fixed, the depth of a beam, positive steel areas and negative steel areas are found from Khun-Tucker necessary conditions with Lagrangian multipliers to minimize the sectional cost of a beam. The developed design aids might be useful in selecting optimum reinforced concrete beam sections. Theoretical derivations and use of the developed design aids are described in this paper.

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Economic-Statistical Design of VSSI$\bar{X}$ Control Charts Considering Two Assignable Causes (두 개의 이상원인을 고려한 VSSI$\bar{X}$ 관리도의 경제적-통계적 설계)

  • Lee, Ho-Joong;Lim, Tae-Jin
    • Journal of Korean Institute of Industrial Engineers
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    • v.31 no.1
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    • pp.87-98
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    • 2005
  • This research investigates economic-statistical characteristics of variable sampling size and interval (VSSI)$\bar{X}$charts under two assignable causes. A Markov chain approach is employed in order to calculate average run length (ARL) and average time to signal (ATS). Six transient states are derived by carefully defining the state. A steady state cost rate function is constructed based on Lorenzen and Vance(1986) model. The cost rate function is optimized with respect to six design parameters for designing the VSSI $\bar{X}$ charts. Computational experiments show that the VSSI $\bar{X}$ chart is superior to the Shewhart $\bar{X}$ chart in the economic-statistical sense, even under two assignable causes. A comparative study shows that the cost rate may increase up to almost 30% by overlooking the second cause. Critical input parameters are also derived from a sensitivity study and a few guideline graphs are provided for determining the design parameters.

Measuring Importance of Online Apparel Stores' Design Attributes Using Three Different Methods

  • Oh, Keunyoung;Lee, MiYoung
    • Journal of Fashion Business
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    • v.19 no.6
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    • pp.127-138
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    • 2015
  • Due to the virtual nature of online businesses, online apparel stores need to enhance the consumer experience by utilizing store design attributes to provide their customers relevant and sufficient information. Since online apparel stores mainly communicate with their customers virtually and digitally, it is important to understand how consumers perceive and react to different design attributes commonly found on apparel stores' online websites. The purpose of this paper is to examine the importance of design attributes commonly found on online apparel stores' websites using three different importance measurements. The design attributes examined in this study include enlarged pictures, product detail pictures, product reviews by other buyers, coordinating items, and size measurement charts. The three different measurements used in this study include two direct measures and one indirect measure using conjoint analysis. Across the three different measures, both the men and women indicated that enlarged pictures represent the most important design attribute when they purchase clothes online followed by size measurement charts and they considered the availability of coordinating items the least important design attribute.