• 제목/요약/키워드: Optimal Sampling

검색결과 492건 처리시간 0.03초

Optimal Operation for Reverse Supply Chain Incorporating Inspection Policy into Remanufacturing of Used Products

  • Yamaguchi, Shin;Kusukawa, Etsuko
    • Industrial Engineering and Management Systems
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    • 제16권1호
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    • pp.1-21
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    • 2017
  • This paper discusses a reverse supply chain (RSC) which consists of the process flows from procurement of used products collected from a market, through remanufacturing products from the used products, to sales of the products in a market. In general, it is conceivable for the RSC to face the uncertainty in quality of used products collected from a market. Inspection is one of efficient methods to deal with the problem regarding quality of used products. However, there is a trade-off between inspection cost and inspection accuracy. This paper focuses on the following five types of inspection: (1) 100% inspection, (2) sampling inspection, (3) sampling inspection with screening of rejected lots, (4) sampling inspection with screening of acceptable lots, and (5) no inspection, and determines the optimal operation consisting of the optimal number of procured used products and the optimal inspection policy. Numerical analysis clarifies not only how changes of conditions of the RSC affect the manufacturer's optimal operation but also features of each inspection type. In addition, from the results of numerical analysis, this paper shows the usability to add the proposed inspection in this paper, the sampling inspection with screening of acceptable lots, to choices of inspection type.

Optimal equivalent-time sampling for periodic complex signals with digital down-conversion

  • Kyung-Won Kim;Heon-Kook Kwon;Myung-Don Kim
    • ETRI Journal
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    • 제46권2호
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    • pp.238-249
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    • 2024
  • Equivalent-time sampling can improve measurement or sensing systems because it enables a broader frequency band and higher delay resolution for periodic signals with lower sampling rates than a Nyquist receiver. Meanwhile, a digital down-conversion (DDC) technique can be implemented using a straightforward radio frequency (RF) circuit. It avoids timing skew and in-phase/quadrature gain imbalance instead of requiring a high-speed analog-to-digital converter to sample an intermediate frequency (IF) signal. Therefore, when equivalent-time sampling and DDC techniques are combined, a significant synergy can be achieved. This study provides a parameter design methodology for optimal equivalent-time sampling using DDC.

VSI EWMA 관리도의 경제적 통계적 설계 (An Economic Statistical Design of the EWMA Control Charts with Variable Sampling Interval)

  • 송서일;박현규;정혜진
    • 품질경영학회지
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    • 제32권1호
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    • pp.92-101
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    • 2004
  • Tris paper present an economic statistical design which have statistically constraints for the optimal design of an EWMA control charts with variable sampling interval. Cost function use that proposed by Lorenzen and Vance, and the optimal design parameters include the sample size, control limit width, sampling interval, EWMA weight value. Comparisons between VSI EWMA control charts optimal economic design and optimal economic statistical designs show the following fact. Although have demerits which are more costly than economic design, have merits which to detect shifts more efficiently and to improve statistical performance.

A VSR $\bar{X}$ Chart with Multi-state VSS and 2-state VSI Scheme

  • Lee, Jae-Heon;Park, Chang-Soon
    • 품질경영학회지
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    • 제32권4호
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    • pp.252-264
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    • 2004
  • Variable sampling Interval (VSI) control charts vary the sampling interval according to value of the control statistic while the sample size is fixed. It is known that control charts with 2-state VSI scheme, which uses only two sampling intervals, give good statistical properties. Variable sample size (VSS) control charts vary the sample size according to value of the control statistic while the sampling interval is fixed. In the VSS scheme no optimal results are known for the number of sample sizes. It is also known that the variable sampling rate (VSR) $\bar{X}$ control chart with 2-state VSS and 2-state VSI scheme leads to large improvements In performance over the fixed sampling rate (FSR) $\bar{X}$ chart, but the optimal number of states for sample size Is not known. In this paper, the VSR Χ charts with multi-state VSS and 2-state VSI scheme are designed and compared to 2-state VSS and 2-state VSI scheme. The multi-state VSS scheme is considered to, achieve an additional improvement by switching from the 2-state VSS scheme. On the other hand, the multi-state VSI scheme is not considered because the 2-state scheme is known to be optimal. The 3-state VSS scheme improves substantially the sensitivity of the $\bar{X}$ chart especially for small and moderate mean shifts.

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

  • 홍성옥;이민구;이주호
    • 품질경영학회지
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    • 제43권4호
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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.

제약조건과 사전확률이 고려된 선형비용모형의 수정검사정책 (Rectifying Inspection of Linear Cost Model with a Constraint and a $\alpha$-Optimal Acceptance Sampling)

  • 이도경;이근희
    • 산업경영시스템학회지
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    • 제14권24호
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    • pp.1-5
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    • 1991
  • Various linear cost models have been proposed that can be used to determine a sampling plan by attributes. This paper is concerned with this sampling cost model when the probability that the number of nonconforming item is smaller than the break-even quality level is known. In addition to this situation, a constraint by AOQL is considered. Under these conditions, optimal sampling plan which minimize the average cost per lot is suggested.

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A new structural reliability analysis method based on PC-Kriging and adaptive sampling region

  • Yu, Zhenliang;Sun, Zhili;Guo, Fanyi;Cao, Runan;Wang, Jian
    • Structural Engineering and Mechanics
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    • 제82권3호
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    • pp.271-282
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    • 2022
  • The active learning surrogate model based on adaptive sampling strategy is increasingly popular in reliability analysis. However, most of the existing sampling strategies adopt the trial and error method to determine the size of the Monte Carlo (MC) candidate sample pool which satisfies the requirement of variation coefficient of failure probability. It will lead to a reduction in the calculation efficiency of reliability analysis. To avoid this defect, a new method for determining the optimal size of the MC candidate sample pool is proposed, and a new structural reliability analysis method combining polynomial chaos-based Kriging model (PC-Kriging) with adaptive sampling region is also proposed (PCK-ASR). Firstly, based on the lower limit of the confidence interval, a new method for estimating the optimal size of the MC candidate sample pool is proposed. Secondly, based on the upper limit of the confidence interval, an adaptive sampling region strategy similar to the radial centralized sampling method is developed. Then, the k-means++ clustering technique and the learning function LIF are used to complete the adaptive design of experiments (DoE). Finally, the effectiveness and accuracy of the PCK-ASR method are verified by three numerical examples and one practical engineering example.

심전도신호 샘플링 주파수에 따른 R파 검출 최적 문턱치 설정 (Optimal Threshold Setting Method for R Wave Detection According to The Sampling Frequency of ECG Signals)

  • 조익성;권혁숭
    • 한국정보통신학회논문지
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    • 제21권7호
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    • pp.1420-1428
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    • 2017
  • R파 검출에 사용되는 여러 심전도 데이터베이스는 샘플링 주파수의 차이로 인해 서로 다른 환경에 적용할 경우 성능에 변화가 많아 알고리즘의 신뢰도를 보장하기 어렵다. 본 연구에서는 심전도신호의 샘플링 주파수에 따른 R파 검출의 최적 문턱치 설정 방법을 제안한다. 이를 위해 미분 기반의 이동평균과 제곱합수를 이용하여 전처리를 수행하였다. 이후 샘플링 주파수에 따라 피크 문턱치에 대한 최적 값을 검출하였다. 문턱치 단계는 신호의 변화와 이전 검출된 피크 값에 따라 문턱치를 변경함으로써 최적의 성능을 나타내는 값을 선정하는 과정으로 실험하였다. 제안한 방법의 우수성을 입증하기 위해 부정맥 데이터베이스 레코드를 대상으로 실험한 결과 MIT-BIH 샘플링 주파수 360Hz에 대한 미분 구간($N_d$), 윈도우 사이즈(N), 문턱 계수($p_{th}$)의 최적 값은 각각 7, 8, 6.6일 때 R파 검출율은 99.758%의 우수한 성능을 나타내었다.

Optimal Sampling Plans of Reliability Using the Complex Number Function in the Complex System

  • Oh, Chung Hwan;Lee, Jong Chul;Cho, Nam Ho
    • 품질경영학회지
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    • 제20권1호
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    • pp.158-167
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    • 1992
  • This paper represents the new techniques for optimal sampling plans of reliability applying the mathematical complex number(real and imaginary number) in the complex system of reliability. The research formulation represent a mathematical model Which preserves all essential aspects of the main and auxiliary factors of the research objectives. It is important to formule the problem in good agreement with the objective of the research considering the main and auxilary factors which affect the system performance. This model was repeatedly tested to determine the required statistical chatacteristics which in themselves determine the actual and standard distributions. The evaluation programs and techniques are developed for establishing criteria for sampling plans of reliability effectiveness, and the evaluation of system performance was based on the complex stochastic process(derived by the Runge-Kutta method. by kolmogorv's criterion and the transform of a solution to a Sturon-Liouville equation.) The special structure of this mathematical model is exploited to develop the optimal sampling plans of reliability in the complex system.

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성능특성치의 열화가 와이블 분포를 따를 때 가속열화시험을 활용한 신뢰성 샘플링검사계획의 개발 (Development of Reliability Acceptance Sampling Plan for the Case where the Degradation Quantity of the Performance Characteristic follows Weibull Distribution based on the Accelerated Degradation Test)

  • 임헌상;박재훈;성시일
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제18권2호
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    • pp.122-129
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    • 2018
  • Purpose: This article develops an optimal reliability acceptance sampling plan for the case where the degradation quantity of the performance characteristic follows Weibull distribution. Method: For developing reliability acceptance sampling plans, the sample size and the acceptance constant are determined based on the accelerated characteristic of the test condition and the product. Results: The sample size and the acceptance constant are provided such that the constraints of the producer and the consumer risks are satisfied. Conclusion: Reliability acceptance sampling plans based on the accelerated degradation test method can be used for the quality control within a resonable amount of cost and time. In this article. an optimal reliability sampling plans are newly developed for this purpose.