• Title/Summary/Keyword: Rate function

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Buyer's EOQ problem with inventory-level-dependent demand rate when the supplier allows day-terms credit

  • Song Chang-Yong;Shinn Seong-Whan
    • Proceedings of the Safety Management and Science Conference
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    • 2001.05a
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    • pp.199-203
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    • 2001
  • In today's business transactions, it is more and more common to see that the buyers are allowed some grace period before they settle the account with the supplier. In this regard, we analyze the problem of determining the buyer's EOQ when the supplier allows day-terms credit. For the analysis, it is assumed that the buyer's demand rate is a function of the on -hand inventory level and the relevant mathematical model is developed.

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Bayes Estimation for the Reliability and Hazard Rate the Burr Type X Failure Model

  • Jang Sik Cho;Hee Jae Kim;Sang Gil Kang
    • Communications for Statistical Applications and Methods
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    • v.5 no.3
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    • pp.723-731
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    • 1998
  • In this paper, we consider a hierarchical Bayes estimation of the parameter, the reliability and hazard rate function based on samples from a Burr type X failure model. Bayes calculations can be implemented by means of the Gibbs sampler and a numerical study us provided.

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Effect of Heat Input Rate on the Weld Defect Formation during High Frequency Electric Resistance Welding (고주파 전기 저항 용접부의 용접 결함 발생 빈도에 미치는 용접 입열 속도의 영향)

  • 조윤희;김충명;김용석
    • Proceedings of the KWS Conference
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    • 2000.10a
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    • pp.201-203
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    • 2000
  • In this study, effect of welding parameters on the defect density in the weldments produced by high frequency electric resistance welding process. The defect density measured by X-ray radiography showed a W-type curve as a function of heat input rate. The mechanisms of the such behavior were discussed based on the chemical compositions of the oxides formed at the weldments.

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Burn-in Models: Recent Issues, Developments and Future Topics

  • Cha, Ji-Hwan
    • Communications for Statistical Applications and Methods
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    • v.16 no.5
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    • pp.871-880
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    • 2009
  • Recently, there has been much development on burn-in models in reliability area. Especially, the previous burn-in models have been extended to more general cases. For example, (i) burn-in procedures for repairable systems have been developed (ii) an extended assumption on the failure rate of the system has been proposed and (iii) a stochastic model for burn-in procedure in accelerated environment has been developed. In this paper, recent extensions and advances in burn-in models are introduced and some issues to be considered in the future study are discussed.

A study on the motion decision of the arm using pattern recognition of EMG signal (EMG신호의 패턴인식을 이용한 동작판정에 관한 연구)

  • 홍석교;고영길;유근호
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.694-698
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    • 1987
  • In this paper, the primitive and double combined motion classification of the arm is discussed using pattern recognition of EM signal. The EM signals are detected from Ag-Ag/Cl surface electrodes, and IBM PC, calculated the Likelyhood probability and the decision function on the feature space of integral absolute value. Multiclass decision rule is introduced for higher decision rate. On our experimental results from expert simulator, the decision rate of more than 78% can be obtained.

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ASYMPTOTIC ANALYSIS OF THE LOSS PROBABILITY IN THE GI/PH/1/K QUEUE

  • Kim Jeong-Sim
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.273-283
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    • 2006
  • We obtain an asymptotic behavior of the loss probability for the GI/PH/1/K queue as K tends to infinity when the traffic intensity p is strictly less than one. It is shown that the loss probability tends to 0 at a geometric rate and that the decay rate is related to the matrix generating function describing the service completions during an interarrival time.

NUMERICAL METHODS FOR A STIFF PROBLEM ARISING FROM POPULATION DYNAMICS

  • Kim, Mi-Young
    • Korean Journal of Mathematics
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    • v.13 no.2
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    • pp.161-176
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    • 2005
  • We consider a model of population dynamics whose mortality function is unbounded. We note that the regularity of the solution depends on the growth rate of the mortality near the maximum age. We propose Gauss-Legendre methods along the characteristics to approximate the solution when the solution is smooth enough. It is proven that the scheme is convergent at fourth-order rate in the maximum norm. We also propose discontinuous Galerkin finite element methods to approximate the solution which is not smooth enough. The stability of the method is discussed. Several numerical examples are presented.

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ON MARGINAL INTEGRATION METHOD IN NONPARAMETRIC REGRESSION

  • Lee, Young-Kyung
    • Journal of the Korean Statistical Society
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    • v.33 no.4
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    • pp.435-447
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    • 2004
  • In additive nonparametric regression, Linton and Nielsen (1995) showed that the marginal integration when applied to the local linear smoother produces a rate-optimal estimator of each univariate component function for the case where the dimension of the predictor is two. In this paper we give new formulas for the bias and variance of the marginal integration regression estimators which are valid for boundary areas as well as fixed interior points, and show the local linear marginal integration estimator is in fact rate-optimal when the dimension of the predictor is less than or equal to four. We extend the results to the case of the local polynomial smoother, too.

OPTIMZATION OF A PIN FIN BASED ON THE INCREASING RATE OF HEAT LOSS

  • Kang, Hyung-Suk
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.1
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    • pp.25-32
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    • 2008
  • A pin fin is optimized based on the increasing rate of heat loss by using a two-dimensional analytic method. The optimum heat loss, corresponding optimum thermal resistance and fin length are presented as a function of the fin base thickness, convection characteristic numbers ratio, fin outer radius and ambient convection characteristic number. One of the results shows that both the optimum heat loss and fin length decrease linearly whereas the optimum thermal resistance increases very slightly with increase of the fin base thickness.

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LFC Considering the Changing Rate of Governor Speed (조속기 입력의 변화율을 고려한 최적주파수 제어)

  • 박영문;유찬수
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.33 no.3
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    • pp.100-105
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    • 1984
  • The optimal Load-Frequency Control law is presented with the performance criterion which includes the changing rate of governor speed. The authors propose two controllers. One is a dynamic controller using the method of state augmentation and the other is a constant gain controller with use of the trace function lemma by Kleinman. For a more practical realization, a reduced-order Luenberger observer is applied in order to identify unmeasurable states and power demand. The control schemees presented here are tested through the model developed by Elgerd, and the usefulness is demonstrated.

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