• Title/Summary/Keyword: Rate function

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A Solution Procedure for Designing Automated Storage/Retrieval Systems (자동창고 설계를 위한 최적화 모델 및 해법에 관한 연구)

  • 나윤균
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.18 no.34
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    • pp.9-14
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    • 1995
  • A cost minimization model for designing AS/RS (Automated Storage/Retrieval Systtems) has been developed under the S/R (Storage/Retrieval) machine throughput rate and total storage capacity requirements. The objective function includes S/R machine cost storage rack cost, and interface conveyor cost. Since the model is a nonlinear integer programming problem which is very hard to solve with large problem size, the model is simplified using previous research results to be solved exactly and a simultion procedure is combined to verify that throughput rate requirements are satisfied.

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Stock Returns and Market Making with Inventory

  • Park, Seyoung;Jang, Bong-Gyu
    • Management Science and Financial Engineering
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    • v.18 no.2
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    • pp.1-4
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    • 2012
  • We study optimal trading strategy of a market maker with stock inventory. Following Avellaneda and Stoikov (2008), we assume the stock price follows a normal distribution. However, we take a constant expected rate of the stock return and assume that the stock volatility is an inverse function of the stock price level. We show that the optimal bid-ask spread of the market maker is wider for a higher expected rate of stock returns.

A Study on the Application of Survival Analysis to Terminated Life Insurance Polices

  • Kang, Jung-Chul
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.2
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    • pp.237-253
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    • 2005
  • In Korea, the volume of insurance industry has been increased rapidly with helping the economic growth, the increment of GNP and derive of public welfare policy. But the other side of the volume increment, the life insurers have some problems, such as the high rate of turnover, lapses and surrenders, in processing of acquiring more insurance contracts. The object of this paper is the analysis of the causes and properties of the high rate of turnover, lapses and surrenders using statistical survival model. Also we hope that the insurers will use the results of analysis to reduce the rates.

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Kinetics of Reversible Consecutive Reactions

  • Park, Tae Jun
    • Bulletin of the Korean Chemical Society
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    • v.34 no.1
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    • pp.243-245
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    • 2013
  • Rate equations are exactly solved for the reversible consecutive reaction of the first-order and the time-dependence of concentrations is analytically determined for species in the reaction. With the assumption of pseudo first-order reaction, the calculation applies and determines the concentration of product accurately and explicitly as a function of time in the unimolecular decomposition of Lindemann and in the enzyme catalysis of Michaelis-Menten whose rate laws have been approximated in terms of reactant concentrations by the steady-state approximation.

STABILIZATION FOR THE VISCOELASTIC KIRCHHOFF TYPE EQUATION WITH A NONLINEAR SOURCE

  • Kim, Daewook
    • East Asian mathematical journal
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    • v.32 no.1
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    • pp.117-128
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    • 2016
  • In this paper, we study the viscoelastic Kirchhoff type equation with a nonlinear source $$u^{{\prime}{\prime}}-M(x,t,{\parallel}{\bigtriangledown}u(t){\parallel}^2){\bigtriangleup}u+{\int}_0^th(t-{\tau})div[a(x){\bigtriangledown}u({\tau})]d{\tau}+{\mid}u{\mid}^{\gamma}u=0$$. Under the smallness condition with respect to Kirchhoff coefficient and the relaxation function and other assumptions, we prove the uniform decay rate of the Kirchhoff type energy.

A Note on a New Two-Parameter Lifetime Distribution with Bathtub-Shaped Failure Rate Function

  • Wang, F.K.
    • International Journal of Reliability and Applications
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    • v.3 no.1
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    • pp.51-60
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    • 2002
  • This paper presents the methodology for obtaining point and interval estimating of the parameters of a new two-parameter distribution with multiple-censored and singly censored data (Type-I censoring or Type-II censoring) as well as complete data, using the maximum likelihood method. The basis is the likelihood expression for multiple-censored data. Furthermore, this model can be extended to a three-parameter distribution that is added a scale parameter. Then, the parameter estimation can be obtained by the graphical estimation on probability plot.

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The Development of Fuzzy to Decide System Failure Rate (시스템 고장률 결정을 위한 Fuzzy Model)

  • 김병석;김정한
    • Journal of the Korean Society of Safety
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    • v.8 no.4
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    • pp.91-94
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    • 1993
  • The main purpose of this study was to develop fuzzy models in order to decide system failure rate in industrial accident prevention. The purposed linguistic approach uses the Zadeh's concept of a linguistic variable with value which are not number. The problem of measurement Is the assignment of numbers to reprresnt properties of the involved events, object, or situation. Thus, in this study, part standard compatibility function was used.

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A Practical Real-Time LOS Rate Estimator with Time-Varying Measurement Noise Variance (시변 측정잡음 모델을 고려한 실시간 시선각 변화율 추정필터)

  • Na, Won-Sang;Lee, Jin-Ik
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2082-2084
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    • 2003
  • A practical real-time LOS rate estimator is proposed to handle the time-varying measurement noise statistics. To calculate the optimal Kalman gain, the algebraic transformation method is taken into account. By using the algebraic transformation, the differential algebraic Riccati equation(DARE) regarding estimation error covariance is replaced by the simple algebraic Riccati equation(ARE). The proposed LOS estimation filter gain is only a function of relative range. Consequently, the proposed method is computationally very efficient and suitable for embedded environment.

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A Competitive Equilibrium Model of the Market for Used Goods (내구재 시장의 경쟁 균형 모형)

  • Kim, Jae-Cheol
    • IE interfaces
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    • v.2 no.2
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    • pp.63-73
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    • 1989
  • The present paper determines the equilibrium price function of used goods and their carry-over age when there are heterogeneous firms with different factor prices. It is shown that the used good market enables more efficient use of durable goods and thereby gains from trades. It is also shown that firms with a lower interest rate and a higher wage rate specialize in using newer goods.

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Accelerated Life Tests under Uniform Stress Distribution (스트레스함수가 균등분포인 가속수명시험)

  • 원영철
    • Journal of the Korea Safety Management & Science
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    • v.2 no.2
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    • pp.71-83
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    • 2000
  • This paper presents accelerated life tests for Type I censoring data under probabilistic stresses. Probabilistic stress, $S_j$, is the random variable for stress influenced by test environments, test equipments, sampling devices and use conditions. The hazard rate, ,$theta_j$, is the random variable of environments and the function of probabilistic stress. Also it is assumed that the general stress distribution is uniform, the life distribution for the given hazard rate, $\theta$, is exponential and inverse power law model holds. In this paper, we obtained maximum likelihood estimators of model parameters and the mean life in use stress condition.

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