• Title/Summary/Keyword: Rate function

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Replacement Policies under Minimal Repair with Cyclic Failure Rates

  • Choi, Sung-Woon;Lee, Sang-Hoon
    • Management Science and Financial Engineering
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    • v.5 no.2
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    • pp.43-53
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    • 1999
  • In many situations, the system failures depend on the operating environmental conditions that vary on time, usually with periodical manners. We use nonhomogeneous Poisson processes whose rate functions exhibit cyclic behavior as well as a long-term evolutionary trend to model the stochastic process of the failures when the rate of occurrence of the failures varies periodically, for example from day to day or between seasons. In this study, we compare optimal policies under the nonho-mogeneous process with/without a cyclic component in the failure rate function. The analytical re-sults for various situations are presented along with numerical examples using simulated data.

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Plasmid Stability and Cloned-Gene Expression in Continuous Culture of Recombinant Escherichia Coli Under Derepressed Condition

  • Nam, Soo-Wan;Kim, Byung-Kwan;Kim, Jung-Hoe
    • Journal of Microbiology and Biotechnology
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    • v.4 no.1
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    • pp.1-6
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    • 1994
  • Continuous culture was carried out with a recombinant Escherichia coli W3110/pCR185, which encodes trp-operon enzymes when the temperature is shifted from $37^{circ}C\;t;42^{\circ}C$. Under derepressed condition of $42^{\circ}C$. plasmlid stability and gene expression were analysed as function of the dilution rate. The stability of plasmid increased with the dilution rate, but maximal levels of gene expression (tryptophan concentration) and plasmid DNA content were obtained at the lowest dilution rate, $0.075\;hr^{-1}$. The plasmid instability, observed at low dilution rates, could be explained by the unbalanced biosynthetic state of the recombinant cell harboring a high copy number of plasmid.

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Optimization of Fermentation Processes with Singular Approximation and Minimum Principle (Singular Approximation과 Minimum Principle을 이용한 발효공정의 최적화)

  • 이중헌;정재철;박영훈
    • Microbiology and Biotechnology Letters
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    • v.27 no.3
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    • pp.223-229
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    • 1999
  • The two optimal control algorithms, singular approximation and minimum principle, were compared in this paper. The switching time with singular approximation was determined with mathematical derivation and the optimal control profile of specific growth rate was also calculated with minimum principle. The optimal control profiles were calculated by making simple model correlating the specific cell growth rate and specific product formation rate. The optimal control profiles calculated by singular approximation approach were similar to stepwise form of those calculatd by minimum principles. With the minimum principle, the product concentration was 8% more than that of singular approximation. This performance difference was due to a linearization of a nonlinear function with singular approximation. This optimal approaches were applicable to any system with different optimal cell growth and product formation.

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On the Growth Process of Grains Dispersed in a Liquid Matrix

  • Kim, Doh-Yeon
    • Proceedings of the Korean Powder Metallurgy Institute Conference
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    • 1998.10b
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    • pp.10-10
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    • 1998
  • The growth process of solid grains in a liquid matrix is usually explained in tem1S of Ostwald ripening. The variation of growth (dissolution) rate as a function of grain size during Ostwald ripening predicted that the dissolution rate becomes very large as grain size decreases but the growth rate of a large grain is rather limited. Therefore. a rather uniform size distribution of grain size is maintained once after the quasi-equilibrium state is reached. Quite frequently, however, the exaggerated grain growth (EGG) is observed to occur: only a limited number of grains grow exceptionally. From the observation that the EGG occurs only for the faceted grains with apparently straight solid-liquid interfaces, the EGG is suggested to be the consequence of growth process controlled by 2-dimensional nucleation. In this study, the result by computer calculation on the grain growth process controlled by various mechanisms will be given.

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Numerical Study on Geometries and Operating Parameters of a Steam Reformer for Hydrogen Production (수소 생산을 위한 수증기 개질기의 형상 변화와 작동 조건에 대한 수치해석 연구)

  • Byun, Kang-Soo;Lee, Jae-Seong;Kim, Ho-Young
    • Journal of the Korean Society of Combustion
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    • v.16 no.3
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    • pp.1-11
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    • 2011
  • The main objective of this paper is to investigate characteristic of steam reformer at various geometries and operating conditions. In this paper, the steam reforming is studied by a numerical method and three dimensional simulations were used for effective analytical study. User - Defined Function (UDF) was used to simultaneously calculate reforming and combustion reaction. And the numerical model is validated with experimental results at the same operating conditions. In order to understand the relationship between operating conditions such as gas hourly space velocity(GHSV), mass flow rate of combustor inlet, various numerical investigations are carries out for various geometries. Numerical results show that cylindrical geometry is more effective than rectangular geometry for heat transfer to reactors and reforming efficiency. As mass flow rate of combustor inlet increase, reaction occurs more faster and temperature increase with each geometry. On the other hand, reaction and hydrogen conversion decrease as mass flow rate of reactor decreases.

Capacity Planning in a Closed Queueing Network

  • Hahm, Juho
    • Journal of the Korean Operations Research and Management Science Society
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    • v.16 no.2
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    • pp.118-127
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    • 1991
  • In this paper, criteria and algorithms for the optimal service rate in a closed queueing network have been established. The objective is to minimize total cost. It is shown that system throughput is increasing concave over the service rate of a node and cycle time is increasing convex over the set of service times with a single calss of cubsomers. This enables developing an algorithm using a steepest descent method when the cost function for service rate is convex. The efficiency of the algorithm rests on the fact that the steepest descent direction is readily obtained at each iteration from the MVA algorithm. Several numerical examples are presented. The major application of this research is optimization of facility capacity in a manufacturing system.

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A Study on Failure Rate Extraction of Power Distribution System Equipment (배전기기 고장률 추출에 관한 연구)

  • Moon, Jong-Fil;Kim, Jae-Chul;Lee, Hee-Tae;Chu, Cheol-Min;Ahn, Jae-Min
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2007.05a
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    • pp.366-368
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    • 2007
  • In this paper, the Time-varying Failure Rate (TFR) of power distribution system equipment is extracted from the recorded failure data of Korea Electric Power Corporation (KEPCO). For TFR extraction, it is used that the fault data accumulated by KEPCO during 10 years. The TFR is approximated to bathtub curve using the exponential (random failure) and Weibull (aging failure) distribution function. In addition, Kaplan-Meier estimation is applied to TFR extraction because of incomplete failure data of KEPCO. Finally, Probability plot and regression analysis is applied. It is presented that the extracted TFR is more effective and useful than Mean Failure Rate (MFR) through the comparison between TFR and MFR.

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Deposition of $\alpha$-Si:H thin films by PECVD method (플라즈마 화학증착법을 이용한 $\alpha$-Si:H박막의 제조)

  • 정병후;문대규;임호빈
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1991.10a
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    • pp.63-67
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    • 1991
  • Amorphous silicon films were deposited on glass, [100] single crystal silicon wafer with thermally grown silicon dioxide, and [100] silicon wafer substrates by Plasma Enhanced Chemical Vapor Deposition(with argon diluted silane source gas). Growth rate, UV optical band edge, and the hydrogen quantity in the amorphous silicon films have been investigated as a function of the preparation conditions by measuring film thickness, UV-absorbency, and FT-IR transmittance. The growth rate of the ${\alpha}$-Si:H films increases with increasing substrate temperture, flow rate and R.F. power density. The UV optical band edge shifts to blue with the increases in the deposition pressure. Increasing substrate temperature shifts the UV optical band edge of the films to red. Hydrogen quantity in the ${\alpha}$-Si:H films increases with an increases in the R.F. powr and decreases with an increase in the substrate temperature.

Effects on the Fishing Industry of Changes in Foreign Exchange Rates;-The Pass-Through of Exchange Rate Changes to Export Price- (환율변동이 수산업에 미치는 영향;-수출가격에의 전가도를 중심으로-)

  • 박영병;어윤양
    • The Journal of Fisheries Business Administration
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    • v.26 no.2
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    • pp.75-92
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    • 1995
  • This paper tried to estimate the pass - through of exchange rate changes to export price of fishery products using export price function. The results are as follows : 1) The variable of fluctuation of exchange rate of Won(equation omitted) to Yen(equation omitted)(variable E2) is more powerful explanatory variable than that of Won to U.S. dollar to explain the fluctiation of export price of fishery products(varible $P_{t}$)- 2) The variable of fish catches(variable K $P_{t}$) is also found to be a statistically significant varible but that of producer price index is not found. 3) The variable E2 have statistically a more influence on variable $P_{t}$ than variable K $P_{t.}$ 4) The estimation shows us that 1% of fluctuation of variable E2 could result in 0.9978% of fluctuation of variable $P_{t.}$

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A study on the characteristics of heart rate variability of patients with vasovagal syncope by tilt-table test (기립경사도 검사에 의한 실시환자의 심박변동신호 특성에 관한 연구)

  • 이정환;박찬석;이병채;김준수;이명호
    • Proceedings of the IEEK Conference
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    • 1998.06a
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    • pp.561-564
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    • 1998
  • This paper evaluated autonomic nervous system function in 23 patients with syncope and a positive tilt test result, 21 with a negative test result, and 19 healthy controls. Indexes of heart rate variability were measured during supine resting, immediately afte rtilt-up, standing rsting, immediately before syncope and immediately after tiltdown. There were no significant differences among the groups in any of the indexes of heart rate varability over the 24-hour holter recordings. In patients with a positive tilt result, tilting gaused a decrease in low-frequency (LF) immediately before syncope and incsrease in high-frequency (HF) bands immediately before. In patients with a negative tilt result, tilting caused a decrease in low-frequency (LF) immediately before syncope and decrease in high-frequency (HF) bands immediately before, different from positive tilt results. Our findings showed that patients with vasovagal syncope have no chronic differences from normal subjects in autonomic nervous system activity, but that these patients respond differently to the orthostatic stimulus.

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