• Title/Summary/Keyword: interval number

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Cumulative Sum Control Charts for Simultaneously Monitoring Means and Variances of Multiple Quality Variables

  • Chang, Duk-Joon;Heo, Sunyeong
    • Journal of Integrative Natural Science
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    • v.5 no.4
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    • pp.246-252
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    • 2012
  • Multivariate cumulative sum (CUSUM) control charts for simultaneously monitoring both means and variances under multivariate normal process are investigated. Performances of multivariate CUSUM schemes are evaluated for matched fixed sampling interval (FSI) and variable sampling interval (VSI) features in terms of average time to signal (ATS), average number of samples to signal (ANSS). Multivariate Shewhart charts are also considered to compare the properties of multivariate CUSUM charts. Numerical results show that presented CUSUM charts are more efficient than the corresponding Shewhart chart for small or moderate shifts and VSI feature with two sampling intervals is more efficient than FSI feature. When small changes in the production process have occurred, CUSUM chart with small reference values will be recommended in terms of the time to signal.

Classification of Sizing System for Men's Jacket According to Figure Type and Age Group (남성정장 상의 설계를 위한 연령별 체형별 치수체계(II))

  • Lee Hye-Young
    • Journal of the Korean Home Economics Association
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    • v.43 no.9 s.211
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    • pp.175-191
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    • 2005
  • This paper proposed a sizig system for men's jackets in order to improve the clothing fitness and rain the productivity. The sizing system was classified according to 3 age groups. Figure types were categorized by shoulder angle and body shape. The size interval of the basic dimensions was established at regular intervals centering around their means. Altogether, 15 size charts were developed based on the frequency distribution. Size designating measurements for jackets were height, chest girth and waist girth. Size intervals were 3cm for chest and waist girth, 5m for height, and 2cm for waist and hip girth. Considering the cover factor, charts with a limited number of sizes were suggested with necessary measurements for each figure type of each age group.

Optimum Replacement Intervals Considering Salvage Values In Random Time Horizon (확률 시평에서 잔존가치를 고려한 최적의 교체 주기)

  • Park, Chung-Hyeon;Lee, Dong-Hoon
    • Journal of the Korea Institute of Military Science and Technology
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    • v.4 no.1
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    • pp.170-176
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    • 2001
  • An optimization problem to obtain the optimal replacement interval considering the salvage values is studied. The system is minimally repaired at failure and is replaced by new one at age T(periodic replacement policy with minimal repair of Barlow and Hunter〔2〕). Our model assumes that the time horizon associated with the number of replacements is random The total expected cost considering the salvage values with random time horizon is obtained and the optimal replacement interval minimizing the cost is found by numerical methods. Comparisons between non-considered salvage values and this case are made by a numerical example.

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Study on Model of Emulsion Polymeration 2. Kinetics of Termonomer Emulsion Polymerization (유화중합의 모델연구 2. 삼모노머유화중합의 동력학)

  • Park, S.B.;SE, C.S.
    • Applied Chemistry for Engineering
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    • v.9 no.2
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    • pp.300-305
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    • 1998
  • Kinetics of termonomer emulsion polymerization during interval II (i.e, after completion of latex particle formation) were studied through pseudo-homopolymerization (PHP) method. Extended Smith-Ewart equation and equation of instantaneous polymer composition are respectively reduced to the corresponding equation for homopolymerization by defining average rate constants. Average number of radicals per particle and instantaneous polymer compositions were respectively predicted by varying termonomer composition within latex particles for systems containing no more than one growing radical per particle. Styrene-Methyl methacrylate-Acrylonitrile (SMA) system was used for model calculation.

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Multistage Point and Confidence Interval Estimation of the Shape Parameter of Pareto Distribution

  • Hamdy, H.I.;Son, M.S.;Gharraph, M.K.;Rashad, A.M.
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.1069-1086
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    • 2003
  • This article presents the asymptotic theory of triple sampling procedure as pertain to estimating the shape parameter of Pareto distribution. Both point and confidence interval estimation are considered within the same inference unified framework. We show that this group sampling technique possesses the efficiency of Anscome (1953), Chow and Robbins (1965) purely sequential procedure as well as reduce the number of sampling operations by utilizing Stein (1945) two stages procedure. The analysis reveals that the technique performs excellent as far as the accuracy is concerned. The present problem differs from those considered by many authors, in multistage sampling, in that the final stage sample size and the parameter's estimate become highly correlated and therefore we adopted different approach.

Further Results on Piecewise Constant Hazard Functions in Aalen's Additive Risk Model

  • Uhm, Dai-Ho;Jun, Sung-Hae
    • The Korean Journal of Applied Statistics
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    • v.25 no.3
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    • pp.403-413
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    • 2012
  • The modifications suggested in Uhm et al. (2011) are studied using a partly parametric version of Aalen's additive risk model. A follow-up time period is partitioned into intervals, and hazard functions are estimated as a piecewise constant in each interval. A maximum likelihood estimator by iteratively reweighted least squares and variance estimates are suggested based on the model as well as evaluated by simulations using mean square error and a coverage probability, respectively. In conclusion the modifications are needed when there are a small number of uncensored deaths in an interval to estimate the piecewise constant hazard function.

Friction and Wear Characteristics of Friction Material with the Content of Hexamethylenetetramine (Hexamethylenetetramine의 함량에 따른 마찰재의 마찰.마모 특성)

  • Kim, Dae-Kyeun;Jang, Ho;Yoon, Ho-Gyu
    • Tribology and Lubricants
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    • v.16 no.4
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    • pp.266-273
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    • 2000
  • The friction characteristics of phenolic resin and model friction materials were investigated with the content of hexamethylenetetamine (HEXA). At 10 wt.% of HEXA, the phenolic resin and model friction materials showed the most stable friction coeffcient in constant temperature test at various test conditions because of its good thermal stability and proper curing reaction. It was found from constant interval test in mild condition that the friction coeffcients of friction materials cured with 10 wt.% of HEXA was the highest and stable values in the whole range of braking operations. However, at the severe condition in constant interval test, the friction coefficient of friction materials cured with 10 wt.% to of HEXA was lowered and as the number of braking operation increased, the values became stable. In order to obtain the thormal stable friction materials, the content of HEXA from 5 to 10 wt.% could be recommended.

Markovian EWMA Control Chart for Several Correlated Quality Characteristics

  • Chang, Duk-Joon;Kwon, Yong-Man;Hong, Yeon-Woong
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.4
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    • pp.1045-1053
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    • 2003
  • Markovian EWMA control chart for simultaneously monitoring mean vector of the several correlated quality characteristics is investigated. Properties of multivariate Shewhart chart and EWMA chart are evaluated for matched FSI (fixed sampling interval) and VSI(variable sampling interval) scheme. We obtained VSI EWMA chart is more efficient than Shewhart chart for small or moderate shifts. And, we obtained stablized numerical results with Markov chain method when the number of transient state is greater than 100.

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LATTICE OF KEYCHAINS

  • MURALI V.
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.409-420
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    • 2006
  • In this paper we consider the set of all n + 1-tuples of real numbers, not necessarily all distinct, in the decreasing order from the unit interval under the usual ordering of real numbers, always including 1. Such n + 1-tuples inherently arise as the membership values of fuzzy subsets and are called keychains. An natural equivalence relation is introduced on this set and the equivalence classes of keychains are studied here. The number of such keychains is finite and the set of all keychains is a lattice under the coordinate-wise ordering. Thus keychains are subchains of a finite chain of real numbers in the unit interval. We study some of their properties and give some applications to counting fuzzy subsets of finite sets.

Determination of the Optimal Job Sequence on the Flow-Shop Type FMS Considering the AGVs' Entering Interval (AGV 투입간격을 고려한 Flow Shop형 FMS의 최적작업순서 결정)

  • ;;Yang, Dae Yong
    • Journal of the Korean Operations Research and Management Science Society
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    • v.17 no.3
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    • pp.47-57
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    • 1992
  • The purpose of this paper is to improve the operation performance of unit-load Automated Guided Vehicles (AGV's) used as a carrier and mobile workstation in a flow-shop type flexible manufacturing system. An algorithm is developed to determine the optimal job sequence which minimizes the vehicle idle time on the line and the production makespan by the use of the entering interval and travel time between workcenters. An entering times of AGV's and the minimum number of AGV's required are calculated by optimal job sequence. When the numbe rof AGV's is limited, enterling times of AGV's are adjusted to maximize the efficient use of vehicles. A numerical example is given to illustrate the application of the algorithm.

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