• Title/Summary/Keyword: erlang

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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.

Voice-Data Capacity in a multimedia mobile System with Multi-rate Data Traffic. (멀티미디어 이동통신 시스템에서 통신 속도별 음성-데이터 상호 용량계산)

  • Kwon, Young Soo
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2009.05a
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    • pp.891-894
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    • 2009
  • In this paper, a scheme to evaluate the number of users in a WCDMA supporting multi-rate traffic is presented through the calculations of Erlang capacity from a derived blocking probability. It is observed that voice-data Erlang capacities have an inverse linear relationship. When the $E_b/N_o$ decreases from 4 dB to 3 dB within the outage probability of 2 % and at the voice rate of 8 kbps, the results show an increase of 8 Erlang at the data rates of 15 kbps, 4 Erlang at 30 kbps, 2 Erlang at 60 kbps, and 1 Erlang at 120 kbps respectively and an increase of the Erlang capacities through a gradual decrease of the data rates from 960 kbps to 15 kbps. So this is useful for optimizing as a reference of design for the capacity in a WCDMA system.

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A Study on Model Development of Pedestrian Crossing Capacity at Unsignalized Crosswalks with Pedestrian Refuge Area (중앙분리대 대기공간이 있는 비신호 횡단보도에서의 보행자 횡단용량 모형식 개발)

  • 김상구
    • Journal of Korean Society of Transportation
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    • v.21 no.4
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    • pp.103-111
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    • 2003
  • This study proposes methodology deterimining a basic pedestrian crossing capacity that plays a critical role in the installation of pedestrian signal at the crosswalks. The methodology is based on the pattern of vehicle arrived at the crosswalks. Erlang distribuion is used as headway distribution that can cover the various levels of flow rate. Models using Erlang distribution are represented by Erlang parameter (K) of 1, 2, or 3 at 2-, 4-, or 6-lane roadway in both directions. In addition, this study considered the only type of road with a pedestrian refuge area in the median that is used to wait for the allowable gap provided by the flow of another direction. As a result, the pedestrian capacity decreases as flow rate increases and Erlang parameter increases for the road with the pedestrian refuge. This study develops the models to determine the pedestrian capacity under a variety of flow rates and the outcomes of this study could be used as the criteria for the determination of the installation of pedestrian signal or for the provision of pedestrian refuge in the median of road.

Erlang Capacity and Call Blocking Probability of CDMA Hierarchical Cellular Systems with Soft Handoff (소프트 핸드오프를 갖는 CDMA 계층구조 셀룰러 시스템의 Erlang 용량과 호 차단확률)

  • Seong, Bong-Hun;O, Hyeon-Seok;Han, Jae-Chung
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.8
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    • pp.481-490
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    • 2000
  • This paper analyzes interference power, Erlang capacity, the number of handoff occurrences, and call blocking probability with respect to the cell radius, the soft handoff region, and the mobile's velocity in a CDMA hierarchical cellular system. The microcell cellular system has the higher Erlang capacity than the macrocell cellular system. However, the microcell cellular system, which has a high system capacity through frequency reuse has the call blocking probability higher than macrocell cellular system. Also the interference power and the call blocking probability are decreased with the operation of soft handoff. Therefore, this paper presents the optimization of soft handoff region so as to maximize system's Erlang capacity with the low the call blocking probability according to mobile's velocity in the CDMA hierarchial cellular system.

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Evaluation on the Reliability Attributes of Finite Failure NHPP Software Reliability Model Based on Pareto and Erlang Lifetime Distribution (파레토 및 어랑 수명분포에 근거한 유한고장 NHPP 소프트웨어 신뢰성모형의 신뢰도 속성에 관한 평가)

  • Min, Kyung-il
    • Journal of Industrial Convergence
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    • v.18 no.3
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    • pp.19-25
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    • 2020
  • In the software development process, software reliability evaluation is a very important issue. In particular, finding the optimal development model that satisfies high reliability is the more important task for software developers. For this, in this study, Pareto and Erlang life distributions were applied to the finite failure NHPP model to evaluate the reliability attributes. For this purpose, parametric estimation is applied to the maximum likelihood estimation method, and nonlinear equations are calculated using the bisection method. As a result, the Erlang model showed better performance than the Pareto model in the evaluation of the strength function and the mean value function. Also, as a result of inputting future mission time and evaluating reliability, the Erlang model showed an effectively high trend together with the Pareto model, while the Goel-Okumoto basic model showed a decreasing trend. In conclusion, the Erlang model is the best model among the proposed models. Through this study, it is expected that software developers will be able to use it as a basic guideline for exploring and evaluating the optimal software reliability model.

QUOTIENT MOMENTS OF THE ERLANG-TRUNCATED EXPONENTIAL DISTRIBUTION BASED ON RECORD VALUES AND A CHARACTERIZATION

  • Kumar, Devendra
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.7-16
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    • 2014
  • Erlang-truncated exponential distribution is widely used in the field of queuing system and stochastic processes. This family of distribution include exponential distribution. In this paper we establish some exact expression and recurrence relations satisfied by the quotient moments and conditional quotient moments of the upper record values from the Erlang-truncated exponential distribution. Further a characterization of this distribution based on recurrence relations of quotient moments of record values is presented.

Improvement of YAWS implemented by ERLANG (ERLANG으로 구현한 웹서버 YAWS의 기능개선)

  • 장재원;양하영;유정목;이만호
    • Proceedings of the Korean Information Science Society Conference
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    • 2004.04a
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    • pp.394-396
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    • 2004
  • 함수형 언어를 사용하여 작성한 응용 어플리케이션은 성능이 떨어진다는 생각이 지배적이다. 함수형 언어 ERLANG은 성능이 우수한 통신응용프로그램을 작성하기 위하여 개발되었다. ERLANG으로 작성한 웹서버인 YAWS는 범용 웹서버와 성능면에서 뒤지지 않지만 모든 웹 프로그래밍 언어를 지원하지 않는다. 본 연구는 Jsp/Servlets을 서비스 할 수 있도록 YAWS의 기능을 개선하였다.

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Erlang Capacity of Cellular CDMA Mobile Communication System with soft Handoff (소프트 핸드오프를 갖는 셀룰러 CDMA 이동통신 시스템의 Erlang 용랑)

    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.3A
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    • pp.334-341
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    • 2000
  • This paper presents an analysis of the capacity, the interference of adjacent cells of a CDMA cellular system, depending on the soft handoff region and log-normal shadowing. The optimum soft handoff region is chosen by using Erlang capacity. It is shown that when the soft handoff region increases, the Erlang capacity increase due to a reduction of the interference power of adjacent cells. But if the region is increased above a certain value, there is no improvement in the system’s capacity. Furthermore as the standard deviation of the log-normal shadowing's normal distribution factor increases, the soft handoff region has to be increased linearly to achieve the same Erlang capacity.

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Extreme Values of Mixed Erlang Random Variables (혼합 얼랑 확률변수의 극한치)

  • Kang, Sung-Yeol
    • Journal of the Korean Operations Research and Management Science Society
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    • v.28 no.4
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    • pp.145-153
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    • 2003
  • In this Paper, we examine the limiting distributional behaviour of extreme values of mixed Erlang random variables. We show that, in the finite mixture of Erlang distributions, the component distribution with an asymptotically dominant tail has a critical effect on the asymptotic extreme behavior of the mixture distribution and it converges to the Gumbel extreme-value distribution. Normalizing constants are also established. We apply this result to characterize the asymptotic distribution of maxima of sojourn times in M/M/s queuing system. We also show that Erlang mixtures with continuous mixing may converge to the Gumbel or Type II extreme-value distribution depending on their mixing distributions, considering two special cases of uniform mixing and exponential mixing.

Erlang Capacity Analysis For DS/CDMA Cellular System Considering Multipath Fading (다중경로 페이딩을 고려한 DS/CDMA 셀룰라 시스템의 얼랑용량 분석)

  • Kim, Hang-Rae;Kim, Nam
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.126-129
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    • 1999
  • In this paper, it is assumed that a mobile radio channel is a Rayleigh distributed multipath fading channel and Erlang capacity and equivalent channel numbers are calculated for the reverse link of a imperfect power controlled DS/CDMA cellular system considering both shadowing and multipath fading. The DS/CDMA blocking probability is calculated based on a new analysis method that considers Erlang capacity and ICF(interference correction factor) using the median value of $E_{b(i)}$/ $I_{o}$ corresponding to each reverse link user. It is showed that the effect of multipath fading must not be ignored in Erlang capacity of the IS-95 DS/CDMA cellular system and the Erlang capacity is decreased according to the increase of the deviation of the imperfect power control, to the decrease of the processing gain, to the increase of the voice activity.y.

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