• 제목/요약/키워드: Product Array

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Robust Design Using Desirability Function in Product-Array

  • Kwon, Yong-Man
    • 통합자연과학논문집
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    • 제11권2호
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    • pp.76-81
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    • 2018
  • Robust design is an approach to reducing performance variation of quality characteristic values in quality engineering. Product array approach which is used in the Taguchi parameter design has a number of advantages by considering the noise factor. Taguchi has an idea that mean and variation are handled simultaneously to reduce the expected loss in products and processes. Taguchi has used the signal-to-noise ratio (SN) to achieve the appropriate set of operating conditions where variability around target is low in the Taguchi parameter design. Many Statisticians criticize the Taguchi techniques of analysis, particularly those based on the SN. In this paper we propose a substantially simpler optimization procedure for robust design using desirability function without resorting to SN.

고장물리와 수명분석을 이용한 제품신뢰도 개선: BGA(Ball Grid Array) 패키지에 대한 사례연구를 중심으로 (An Approach of Combining Failure Physics and Lifetime Analysis for Product Reliability Improvement: An Application to BGA(Ball Grid Array) Package)

  • 이경택;신창호;한형상;;김선욱;이희진
    • 대한산업공학회지
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    • 제25권2호
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    • pp.204-216
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    • 1999
  • Failure physics and statistical lifetime analysis constitute the two extreme ends of the reliability engineering spectrum, and studies that relate failure mechanisms to failure distributions have been near non-existent. This paper is an attempt to stimulate interest to fill the gap between the two extremes and proposes an approach of combining them through i) developing a failure mechanism model, ii) generating failure times by Monte Carlo simulation with the model, iii) deriving the failure time distribution and evaluating the product reliability, and iv) improving the product reliability by the sensitivity analysis. An application of the proposed approach to the BGA(Ball Grid Array) surface mount package is also provided.

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통합배열에서 기대함수를 이용한 파라미터설계 대체방안 (An alternative procedure for parameter design using desirability function in combined array)

  • 권용만
    • Journal of the Korean Data and Information Science Society
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    • 제27권5호
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    • pp.1263-1272
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    • 2016
  • 다구찌가 제안한 파라미터설계에서 사용되는 교차배열은 제어인자뿐만 아니라 잡음인자를 동시에 고려한 획기적인 방법으로 많은 장점이 있다. 반면 단점으로는 지나치게 많은 실험수를 필요로 하는 점이다. 실험수를 줄이기 위한 방안으로 통합배열 방법론이 제시되었다. 또 다른 단점으로 다구찌는 최적조건을 찾는데 있어서 신호대 잡음비를 사용하였는데 신호대 잡음비를 사용함에 따라 여러 가지 문제가 발생하였다. 본 논문에서는 파라미터설계에서의 단점을 개선하고자 신호대 잡음비에 의존하지 않으면서도 실험수를 줄이기 위한 대체방안을 제안하고자 한다. 아울러 파라미터설계에서 사용되는 교차배열과 실험수를 줄인 통합배열 두 가지 사례를 들어 비교 연구하고자 한다.

Simultaneous Optimization for Robust Design Using Desirability Function to the Combined Array

  • Kwon, Yong-Man;Hong, Yeon-Woong
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2002년도 춘계학술대회
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    • pp.97-106
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    • 2002
  • Taguchi parameter design, the product-array approach using orthogonal arrays is mainly used. However, it often requires an excessive number of experiments. An alternative approach, which is called the combined-array approach, was suggested by Welch et. al. and studied by others. In these studies, only single quality characteristic was considered. We propose how to simultaneously optimize multiple quality characteristics using desirability function when we used the combined-array approach to assign control and noise factors. An example is illustrated to the combined-array approach.

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1차원 및 2차원 이산 웨이브렛 변환 계산을 위한 새로운 시스톨릭 어레이 (New systolic arrays for computation of the 1-D and 2-D discrete wavelet transform)

  • 반성범;박래홍
    • 전자공학회논문지S
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    • 제34S권10호
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    • pp.132-140
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    • 1997
  • This paper proposes systolic array architectures for compuataion of the 1-D and 2-D discrete wavelet transform (DWT). The proposed systolic array for compuataion of the 1-D DWT consists of L processing element (PE) arrays, where the PE array denotes the systolic array for computation of the one level DWT. The proposed PE array computes only the product terms that are required for further computation and the outputs of low and high frequency filters are computed in alternate clock cycles. Therefore, the proposed architecuter can compute the low and high frequency outputs using a single architecture. The proposed systolic array for computation of the 2-D DWT consists of two systolic array architectures for comutation of the 1-D DWT and memory unit. The required time and hardware cost of the proposed systolic arrays are comparable to those of the conventional architectures. However, the conventional architectures need extra processing units whereas the proposed architectures fo not. The proposed architectures can be applied to subband decomposition by simply changing the filter coefficients.

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A NEW KIND OF THE LAW OF THE ITERATED LOGARITHM FOR PRODUCT OF A CERTAIN PARTIAL SUMS

  • Zang, Qing-Pei
    • 대한수학회보
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    • 제48권5호
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    • pp.1041-1046
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    • 2011
  • Let {X, $X_{i};\;i{\geq}1$} be a sequence of independent and identically distributed positive random variables. Denote $S_n= \sum\array\\_{i=1}^nX_i$ and $S\array\\_n^{(k)}=S_n-X_k$ for n ${\geq}$1, $1{\leq}k{\leq}n$. Under the assumption of the finiteness of the second moments, we derive a type of the law of the iterated logarithm for $S\array\\_n^{(k)}$ and the limit point set for its certain normalization.

A Study on Simultaneous Optimization for Robust Design

  • Kwon, Yong-Man
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2001년도 추계학술대회
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    • pp.44-55
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    • 2001
  • In the Taguchi parameter design, the product-array approach using orthogonal arrays is mainly used. However, it often requires an excessive number of experiments. An alternative approach, which is called the combined-array approach, was suggested by Welch et. al. (1990) and studied by others. In these studies, only single response variable was considered. We propose how to simultaneously optimize multiple responses when there are correlations among responses, and when we use the combined-array approach to assign control and noise factors.

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Simultaneous Optimization of Multiple Responses Alternatives to the Taguchi Parameter Design

  • Yong Man Kwon
    • Communications for Statistical Applications and Methods
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    • 제3권2호
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    • pp.103-117
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    • 1996
  • In the Taguchi Parameter design, the product-array approach using orthogonal arrays is mainly used. However, it often requires an excessive number of experiments. An alternative approach, which is called the combined- array approach, was suggested by welch et. al. (1990) and studied by Vining and Myers(1990), Box and Jones (1992) and others. In these studies, only single response variable was considered. We propose how to simultaneously optimize multiple responses when there are correlations among responses, and when we use the combined-array approach to assign control and noise factors.

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Efficient Global Optimization of Periodic Plasmonic Nanoslit Array Based on Quality Factor Analysis

  • Jaehoon Jung
    • Current Optics and Photonics
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    • 제7권3호
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    • pp.248-253
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    • 2023
  • An efficient global optimization approach for a periodic plasmonic nanoslit array based on extraordinary optical transmission within an acceptable time range is proposed using 𝚀 factor analysis method. The particle swarm optimization is employed as a global optimization tool. The figure of merit is defined as a product of transmission peak value and 𝚀 factor. The design variables are the slit width, height, and period of the slit array, respectively. The optical properties such as transmission spectrum and bandwidth are calculated rigorously using the finite element method.

REVERSE EDGE MAGIC LABELING OF CARTESIAN PRODUCT, UNIONS OF BRAIDS AND UNIONS OF TRIANGULAR BELTS

  • REDDY, KOTTE AMARANADHA;BASHA, S. SHARIEF
    • Journal of applied mathematics & informatics
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    • 제40권1_2호
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    • pp.117-132
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    • 2022
  • Reverse edge magic(REM) labeling of the graph G = (V, E) is a bijection of vertices and edges to a set of numbers from the set, defined by λ : V ∪ E → {1, 2, 3, …, |V| + |E|} with the property that for every xy ∈ E, constant k is the weight of equals to a xy, that is λ(xy) - [λ(x) + λ(x)] = k for some integer k. We given the construction of REM labeling for the Cartesian Product, Unions of Braids and Unions of Triangular Belts. The Kotzig array used in this paper is the 3 × (2r + 1) kotzig array. we test the konow results about REM labelling that are related to the new results we found.