• Title/Summary/Keyword: phase type distribution

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A characteristic study on the software development cost model based on the lifetime distribution following the shape parameter of Type-2 Gumbel and Erlang distribution (Type-2 Gumbel과 Erlang 분포의 형상모수를 따르는 수명분포에 근거한 소프트웨어 개발 비용모형에 관한 특성 연구)

  • Yang, Tae-Jin
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.11 no.4
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    • pp.460-466
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    • 2018
  • With the development of information technology, the scale of computer software system is constantly expanding. Reliability and cost of software development have a great impact on software quality. In this study, based on the software failure interval time data, a comparative analysis was performed on the characteristics of the software development cost model based on the lifetime distribution following the Type-2 Gumbel and Erlang distribution in the NHPP model. As a result, the trends of the cost curves for the Go-Okumoto model and the proposed Erlang model and the Type-2 Gumble model both decreased in the initial stage and gradually increased in the latter half of the failure time. Also, Comparing the Erlang model with the Type-2 Gumble model, we found that the Erlang model is faster and more cost-effective at launch. Through this study, Software operators should remove possible defects from the testing phase rather than the operational phase to reduce defects after the software release date, it is expected to be able to study the prior information needed to understand the characteristic of software development cost.

A COMPUTATION METHOD IN PERFORMANCE EVALUATION IN CELLULAR COMMUNICATION NETWORK UNDER THE GENERAL DISTRIBUTION MODEL

  • Kim, Kyung-Sup
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.2
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    • pp.119-131
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    • 2008
  • The paper considers the computation method in the performance evaluation of cellular network in the phase-type distribution assumptions that the channel holding times induced from mobility are modeled by well-fitted distributions to reflect an actual situation. When ww consider a phase-type distribution model instead of exponential distribution, the complexity of the computation increase exponential even though the accuracy is improved. We consider an efficient numerical algorithm to compute the performance evaluations in cellular networks such as a handoff call dropping probability, new call blocking probability, and handoff arrival rate. Numerical experiment shows that numerical analysis results are well approximated to the results of simulation.

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A study on high-voltage measuring system using bushing-type capacitor (부싱형 커패시터를 이용한 고전압 계측시스템에 관한 연구)

  • Gang, Mun-Seong;Sim, Hyeong-Gwan;Yu, Chung-Hyeon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.5
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    • pp.502-507
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    • 1999
  • An improved, accurate and reliable high-voltage measuring system utilizing a bushing-type capacitor is proposed in this study. This system measures voltages and phase angles of three-phase 22.9 kV power distribution lines and provides enough current to charge a battery for a motor-driven load switch and to operate the measuring and communication circuits for the distribution automation. For reliability, epoxy resin was used as the dielectric material of the bushing-type capacitor since the dielectric strength of epoxy resin is very stable over the wide range of temperature. Capacitances were investigated and found to be stable over the wide range of temperature and applied voltage, and the results indicate that the proposed measurement system is very reliable.

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Lifetime Distribution Model for a k-out-of-n System with Heterogeneous Components via a Structured Markov Chain (구조화 마코프체인을 이용한 이종 구성품을 갖는 k-out-of-n 시스템의 수명분포 모형)

  • Kim, Heungseob
    • Journal of Applied Reliability
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    • v.17 no.4
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    • pp.332-342
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    • 2017
  • Purpose: In this study, the lifetime distribution of a k-out-of-n system with heterogeneous components is suggested as Markov model, and the time-to-failure (TTF) distribution of each component is considered as phase-type distribution (PHD). Furthermore, based on the model, a redundancy allocation problem with a mix of components (RAPMC) is proposed. Methods: The lifetime distribution model for the system is formulated by the structured Markov chain. From the model, the various information on the system lifetime can be ascertained by the matrix-analytic (or-geometric) method. Conclusion: By the generalization of TTF distribution (PHD) and the consideration of heterogeneous components, the lifetime distribution model can delineate many real systems and be exploited for developing system operation policies such as preventive maintenance, warranty. Moreover, the effectiveness of the proposed RAPMC is verified by numerical experiments. That is, under the equivalent design conditions, it presented a system with higher reliability than RAP without component mixing (RAPCM).

A Study on Effects of Piston Pumping Phase on Vibration and Noises of Tandem Swash Plate Type Axial Piston Pump(2) (피스톤 펌핑 위상이 텐덤형 사판식 액셜 피스톤 펌프의 진동, 소음에 미치는 영향에 관한 연구(2))

  • Park, Sung-Hwan;Lee, Jin-Kul
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.12
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    • pp.31-39
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    • 1999
  • Previous researches and experiments have already verified that the primary noise source of high pressure tandem axial thpe piston pump is fluid-borne noise from the process of oil distribution between the kidney-shaped port and valve plate. So, many researchers have improved pressure gradients and reduced sound levels by applying pre-compression and pre-decompression metering grooves to valve plate. In practice however, the sound level of th high pressure tandem axial type piston pump is still undesirable. This paper testified the effect of pumping phase of the piston on vibration and noise of th high pressure tandem axial type piston pump on the best of theoretical research in $this^(1)$. Therefore considering the pumping phase of the piston when assembling the tandem axial type piston pump, it is possible to reduce 1.5~2[dB]of sound level.

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Reliability Models for Redundant Systems Using Phase-type Distributions

  • Moon, Sinmyeong;Lie, Changhoon
    • Management Science and Financial Engineering
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    • v.7 no.2
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    • pp.73-90
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    • 2001
  • This paper presents the reliability models for redundant systems composed of repairable components whose failure time and repair time distributions are phase-type. It is shown that the distribution of time to system failure is also phase-type. The dependency between components are considered and integrated into the model by the used of the rate adjustment factor. The phase-type representation is constructed for the system through algebraic operations on the parameters of components\` failure time and repair time distributions and the corresponding rate adjustment factors. Types of system structures considered are parallel, k-out-of-N system with load sharing scheme and standby system with operation priority.

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THE DIMENSION REDUCTION ALGORITHM FOR THE POSITIVE REALIZATION OF DISCRETE PHASE-TYPE DISTRIBUTIONS

  • Kim, Kyung-Sup
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.16 no.1
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    • pp.51-64
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    • 2012
  • This paper provides an efficient dimension reduction algorithm of the positive realization of discrete phase type(DPH) distributions. The relationship between the representation of DPH distributions and the positive realization of the positive system is explained. The dimension of the positive realization of a discrete phase-type realization may be larger than its McMillan degree of probability generating functions. The positive realization with sufficient large dimension bound can be obtained easily but generally, the minimal positive realization problem is not solved yet. We propose an efficient dimension reduction algorithm to make the positive realization with tighter upper bound from a given probability generating functions in terms of convex cone problem and linear programming.

A Study on the Performance Improvement for Skeleton type 2-Phase BLDC Motor (스캘리턴 형상을 갖는 2상 BLDC 모터의 특성향상에 관한 연구)

  • Rhyu, S.H.;Im, T.B.;Chung, J.K.;Ha, K.S.;Chang, H.S.;Back, S.H.
    • Proceedings of the KIEE Conference
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    • 2000.07b
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    • pp.656-659
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    • 2000
  • Recently, the skeleton type 2-phase brushless DC motor has been used in electric home appliance for low price and low energy consumption. In this paper, we analyzed a skeleton type 2-phase BLDC motor using time-step finite element method. And the validity of analysis is confirmed by measuring the flux distribution on the surface of permanent magnet and back-EMF. As well, we have calculated the dynamic characteristics of target motor considering the Hall sensor position. So, we have found the optimum switching position, and improved efficiency of 2-phase BLDC motor.

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A Study on the Effects of Neutral Current by Unbalanced Load in Two Step Type Pole using KEPCO's Distribution System (한전 배전 계통을 이용한 2단장주의 불평형 부하에 따른 중성선 전류의 영향에 관한 연구)

  • Park, K.W.;Seo, H.C.;Kim, C.H.;Jung, C.S.;Yoo, Y.P.;Lim, Y.H.;Lee, W.J.
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.3
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    • pp.465-471
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    • 2007
  • The one step type pole and two step type pole are used in KEPCO's distribution system. The neutral current increases in three-phase four-wire distribution system due to unbalanced load. Usually, power line and communication line are installed at contiguity by effect of topography in Korea. To this end, the damages such as electrostatic induction, electromagnetic induction and harmonic induction generated by induced voltage and current are occured in power line and communication line. This paper calculates the neutral current in KEPCO's distribution system using EMTP by composing various simulated conditions. Also, these results are verified by vector analysis.

Performance Analysis of a Loss Retrial BMAP/PH/N System

  • Kim Che-Soong;Oh Young-Jin
    • Journal of Korea Society of Industrial Information Systems
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    • v.9 no.3
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    • pp.32-37
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    • 2004
  • This paper investigates the mathematical model of multi-server retrial queueing system with the Batch Markovian Arrival Process (BMAP), the Phase type (PH) service distribution and the finite buffer. The sufficient condition for the steady state distribution existence and the algorithm for calculating this distribution are presented. Finally, a formula to solve loss probability in the case of complete admission discipline is derived.

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