• Title/Summary/Keyword: k-out-of n systems

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On Reliability Performance of Safety Instrumented Systems with Common Cause Failures in IEC 61508 Standard (공통원인고장을 고려한 안전제어시스템의 신뢰성 평가척도에 관한 고찰 : IEC 61508을 중심으로)

  • Seo, Sun-Keun
    • IE interfaces
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    • v.25 no.4
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    • pp.405-415
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    • 2012
  • The reliability performance measures for low and high or continuous demand modes of operation of safety instrumented systems(SISs) are examined and compared by analyzing the official definitions in IEC 61508 standard. This paper also presents a status of common cause factor(CCF) models used in IEC 61508 and problems relating CCF modelling are discussed and ideas to solve these ones are suggested. An example with mixed M-out-of-N architecture is carried out to illustrate the proposed methods.

Reliability of a k-out-of-n Cold Standby System with Imperfect Switches

  • Abouammoh, A.M.;Sarhan, Ammar M.
    • International Journal of Reliability and Applications
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    • v.2 no.4
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    • pp.253-262
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    • 2001
  • A k-out-of-n standby system is considered where all of its components are s-independent and classified either working or cold standby connected with imperfect switches. The probability density function of the life length for this system is established in closed form, when the underlying components have constant failure rates. Also the reliability function of the system is derived. Finally, the reliability functions for one, two and three out of four systems are deduced for perfect or imperfect switches and identical or non-identical constant failure rates for working and standby components.

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Vapor-Liquid Equilibria for the Systems of MTBE-Methanol, MTBE-n-Heptane, n-Heptane-Methanol by Using Head Space Gas Chromatography (Head Space Gas Chromatography를 이용한 MTBE-Methanol, MTBE-n-Heptane, n-Heptane-Methanol계의 기액평형)

  • Lee, Ju-Dong;Lee, Tae-Jong;Park, So-Jin
    • Applied Chemistry for Engineering
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    • v.5 no.4
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    • pp.706-713
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    • 1994
  • Isothermal vapor-Liquid equilibrium data have been measured for binary systems MTBE-methanol, MTBE-n-heptane, and methanol-n-heptane at $45^{\circ}C$ and $65^{\circ}C$ by using head space gas chromato-graphy (H.S.G.C). Among these systems a minimum azeotrope was observed in both of MTBE-methanol system and n-heptane-methanol system. Particularly n-heptane-methanol system has a heterogeneous minimum azotrope since it has an immisible region. These equilibrium data were correlated with the excess Gibbs energy model, and the thermodynamic consistency test was also carried out by using Redlich-Kister equation.

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Even-phase ZCD codes for MAI Cancelled DS-CDMA Systems

  • Cha, Jae-sang
    • Proceedings of the IEEK Conference
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    • 2002.07c
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    • pp.1952-1955
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    • 2002
  • Multiple access interference (MAI) and multi path interference(MPI) degrades the system performance in the DS-CDMA(direct-sequence code-division multiple- access)systems .0 this paper, a generalized construction method fer 2$\^$n/(n=1,2,3) phase preferred pairs(PP) with zero-correlation duration (ZCD) of (0.5N+1) chips is proposed. 2$\^$n/(n=1,2,3) phase ZCD code sets with ZCD and enlarged family sizes are generated by carrying out a chip-shift operation of the preferred pairs . The properties of the proposed codes are effective for the cancellation of MAI and MPI in DS-CDMA Systems.

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A Maintenance Policy Determination of Dependent k-out-of-n:G System with Setup Cost (초기설치비를 고려한 의존적 k-out-of-n:G 시스템의 보전정책 결정)

  • 조성훈;안동규;성혁제;신현재
    • Journal of the Korean Society of Safety
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    • v.14 no.2
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    • pp.155-162
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    • 1999
  • reliability from components reliability. In this case, it assumes that components failure is mutually independent, but it may not true in real systems. In this study, the mean cost per unit time is computed as the ratio of mean life to the mean cost. The mean life is obtained by the reliability function under power rule model. The mean cost is obtained by the mathematical model based on the inspection interval. A heuristic method is proposed to determine the optimal number of redundant units and the optimal inspection interval to minimize the mean cost per unit time. The assumptions of this study are as following : First, in the load-sharing k-out-of-n:G system, total loads are applied to the system and shared by the operating components. Secondly, the number of failed components affects the failure rate of surviving components as a function of the total load applied. Finally, the relation between the load and the failure rate of surviving components is set by the power rule model. For the practical application of the above methods, numerical examples are presented.

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Estimation of Indent Fracture due to the Moving Process of a Pin on PCB Plate (PCB 판에 대한 핀의 이동 공정에 따른 압입파괴 평가)

  • Kim, Young-Choon;Kim, Choon-Sik;Lee, Hee-Sung;Cho, Jae-Ung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.12
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    • pp.6967-6972
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    • 2014
  • Assembly using a bolt and nut, and rivet or pin have been used widely for forming mechanical joints. The indent method is an easier process than other manufacturing techniques and the toughness of the material is excellent. On the other hand, there are many cases in which the cracks occur on the manufacturing process as the indent method. Therefore, two kinds of models, in which a pin goes into and out PCB plate in this study were developed using the CATIA program and finite element methods were performed using the ANSYS program. When a pin was passed through a PCB plate in cases 1 and 2, the maximum loads applied to the PCB plate were 79.708N and 90.277N, respectively. When the PCB plate came out of the pin in cases 1 and 2, the maximum loads were 63.783N and 33.75N, respectively. The damage prevention and durability can be improved by applying the study results to the design of real indentation.

Matrix Decomposition for Low Computational Complexity in Orthogonal Precoding of N-continuous Schemes for Sidelobe Suppression of OFDM Signals

  • Kawasaki, Hikaru;Matsui, Takahiro;Ohta, Masaya;Yamashita, Katsumi
    • IEIE Transactions on Smart Processing and Computing
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    • v.6 no.2
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    • pp.117-123
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    • 2017
  • N-continuous orthogonal frequency division multiplexing (OFDM) is a precoding method for sidelobe suppression of OFDM signals and seamlessly connects OFDM symbols up to the high-order derivative for sidelobe suppression, which is suitable for suppressing out-of-band radiation. However, it severely degrades the error rate as it increases the continuous derivative order. Two schemes for orthogonal precoding of N-continuous OFDM have been proposed to achieve an ideal error rate while maintaining sidelobe suppression performance; however, the large size of the precoder matrices in both schemes causes very high computational complexity for precoding and decoding. This paper proposes matrix decomposition of precoder matrices with a large size in the orthogonal precoding schemes in order to reduce computational complexity. Numerical experiments show that the proposed method can drastically reduce computational complexity without any performance degradation.

Synthesis of High Molecular Weight 3-Arm Star PMMA by ARGET ATRP

  • Jeon, Hyun-Jeong;Youk, Ji-Ho;Ahn, Sung-Hee;Choi, Jin-Hwan;Cho, Kwang-Soo
    • Macromolecular Research
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    • v.17 no.4
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    • pp.240-244
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    • 2009
  • High molecular weight(MW), 3-arm star poly(methyl methacrylate)(PMMA) with a narrow MW distribution($M_n$=570,000 g/mol, PDI=1.36) was successfully synthesized by activators regenerated by electron transfer(ARGET) atom transfer radical polymerization(ATRP). The polymerization was carried out with a trifunctional initiator/$CuBr_2$/N,N,N',N",N"-pentamethyldiethy lenetriamine(PMDETA) initiator/catalyst system in the presence of a tin(II) 2-ethylhexanoate [$Sn(EH)_2$] reducing agent at $90^{\circ}C$. The concentration of the copper catalyst was as low as 30 ppm, and a high initiation efficiency of the initiating sites was obtained. The chain-end functionality of the high MW, 3-arm star PMMA was confirmed by a chain extension experiment with styrene via ARGET ATRP, using the same catalyst system.

Design and Development of a Novel High Resolution Absolute Rotary Encoder System Based on Affine n-digit N-ary Gray Code

  • Paul, Sarbajit;Chang, Junghwan
    • Journal of Electrical Engineering and Technology
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    • v.13 no.2
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    • pp.943-952
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    • 2018
  • This paper presents a new type of absolute rotary encoder system based on the affine n-digit N-ary gray code. A brief comparison of the existing encoder systems is carried out in terms of resolution, encoding and decoding principles and number of sensor heads needed. Using the proposed method, two different types of encoder disks are designed, namely, color-coded disk and grayscale coded disk. The designed coded disk pattern is used to manufacture 3 digit 3 ary and 2 digit 5 ary grayscale coded disks respectively. The manufactured disk is used with the light emitter and photodetector assembly to design the entire encode system. Experimental analysis is done on the designed prototype with LabVIEW platform for data acquisition. A comparison of the designed system is done with the traditional binary gray code encoder system in terms of resolution, disk diameter, number of tracks and data acquisition system. The resolution of the manufactured system is 3 times higher than the conventional system. Also, for a 5 digit 5 ary coded encoder system, a resolution approximately 100 times better than the conventional binary system can be achieved. In general, the proposed encoder system gives $(N/2)^n$ times better resolution compared with the traditional gray coded disk. The miniaturization in diameter of the coded disk can be achieved compared to the conventional binary systems.