• Title/Summary/Keyword: Erlang

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An Analysis of Pedestrians' Speed according to Pedestrian Countdown Signal Systems (보행신호 잔여시간 표시장치에 따른 보행속도 분석)

  • Jang, Myeong-Sun;Im, Sam-Jin;Kim, Gyeong-Hui
    • Journal of Korean Society of Transportation
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    • v.24 no.4 s.90
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    • pp.43-53
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    • 2006
  • Pedestrian countdown signals were newly introduced to make Pedestrians feel more comfortable and safer in crossing the streets This Paper analysed pedestrian walking-speed through a before-after behavior study Data was collected from 22 sites. and the total number of pedestrians was 19,800. The results showed that the average Pedestrian walking-speed of existing pedestrian signal, an inverted triangle countdown signal and a numeric countdown signal were 1.44, 1.39 and 1.42m/sec. The difference between the three methods was statistically significant. The results showed that the distribution of the walking-speed of existing signal. an inverted triangle countdown signal and a numeric countdown signal were statistically Erlang(0.117, 10) distribution. Weibull(1.17, 3.72) distribution and Gamma(0.137, 8.18) distribution at 95% confidence level.

Performance Analysis and Design of Multiservice Network for Constant- and Adaptive-rate Services (고정 전송율 및 가변 전송율 서비스를 지원하는 다중 서비스 네트워크의 성능 분석 및 설계)

  • 이태진
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.26 no.11C
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    • pp.33-42
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    • 2001
  • We consider a model describing large scale performance of multiservice networks supporting both constant- and adaptive-rate services. As the number of constant-rate connection changes over time in multiservice networks, the available bandwidth for adaptive-rate connections changes as well. We estimate the available bandwidth for adaptive-rate service in a dynamically changing traffic environment based on Erlang fixed point equation and Little\`s law. The bandwidth allocation for adaptive-rate service is determined by the max-min fairness criterion. We find an upper bound on the average minimum throughput for adaptive-rate service, and 7how that the bound is achieved in large-capacity networks. This is verified using network examples. Since max-min fair allocation may not maximize the total throughput or revenue in a network, we consider adjustments via network level priority schemes to increase efficiency.

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Performance Evaluation of Trunked Land Mobile Radio System (Trunked Land Mobile Radio System의 트래픽 성능분석)

  • 이하철;김원균;이병섭
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.8 no.5
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    • pp.431-441
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    • 1997
  • In this paper, a performance evaluation method for the Trunked Land Mobile Radio System, so called TRS(Trunked Radio System), is presented. The proposed evaluation method employs LCD(Lost Call Delayed) system model and Erlang-C distribution. In this system, queues are used to hold call requests that are initally blocked. When a user attempts a call and a channel is not immediately available, the call request may be delayed until a channel becomes available. For evaluating system performance, therefore, the probability that any caller is delayed in the queue for a waiting time greater than t seconds is derived and simulated by using such parameters as total number of available channels, traffic load and average duration of a call. Furthermore, the performance of the message and the transmission trunked channel assignment strategies is compared. The performance simulation results show that transmission trunking is shown to be more efficient than message trunking.

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Analysis on the Cell Capacity and Coverage of 3GPP systems (3GPP 시스템의 용량과 셀 커버리지 분석)

  • 양하영
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.10A
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    • pp.1461-1472
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    • 2000
  • Recently, the mobile users seem to be rapidly increasing and then the capacity limit will be reached at close hand. In these situations, to provide them with good quality of service in the coming future, newly planned cell design is needed. In the next generation mobile communication systems, namely IMT-2000, good quality services will be possible only by designing the cell structure hierarchically with the help of appropriate cell planning. In the research process, the standardization reports on the future mobile cellular IMT-2000 system (3GPP) are investigated and the parameters, that are essential to cell planning, are also researched. Modeling of IMT-2000 radio link and the numerical analysis on that make it possible to calculate the forward/reverse link budget, system capacity call blocking probability Erlang capacity and cell coverage. In planning the cell of IMT-2000 system, various parameters are considered, such as hierarchical cell structure, number of users, data service forms and propagation area environments. From the results, efficient cell planning methods are proposed. Through this thesis efficient cell planning and maximum capacity will be achieved in the beginning of commercial IMT-2000 service.

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Agile Performance Simulation Model for a Closed Multi-class System (폐쇄된 다중 클래스 시스템에 대한 신속한 성능 시뮬레이션 모델)

  • Kim, Yong-Soo
    • Journal of the Korea Society of Computer and Information
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    • v.14 no.6
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    • pp.11-16
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    • 2009
  • The queuing theory was adopted by Erlang to predict the availability of telephone lines in 1917 and had not been used for computer system performance analysis until late 1960s when Scherr published a performance analysis of time-shared computer system. In 2000s, the explosive Internet usage and the development of IT technology made the business environment speed-centric and analysts should react swiftly to the ever-changing situation to satisfy the user requirement. It's tempting to solve the performance problem by purchasing new devices because the price of computers and peripherals are rapidly decreasing along with their increasing performance. But this scheme not only makes it difficult to understand the overall performance of the system but also wastes money. A coarse performance model that is gotten quickly is sometimes preferred to a complex and precise one that takes longer time to get. This paper examines an analytic model suggested by Menasce based on the measured data and suggests a simulation model using ARENA that takes a short time to build.

Comparative Analysis on the Attributes of NHPP Software Development Cost Model Applying Gamma Family Distribution (감마족 분포을 적용한 NHPP 소프트웨어 개발비용 모형의 속성에 관한 비교 분석)

  • Hyo-Jeong Bae
    • The Journal of the Korea institute of electronic communication sciences
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    • v.18 no.5
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    • pp.867-876
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    • 2023
  • In this study, the attributes of the NHPP software development cost model applying the Gamma family distribution (Erlang, Log-Logistic, Rayleigh) were newly analyzed, and after comparing with the Goel-Okumoto basic model to verify the properties of the model, the optimal model was also presented based on this. To analyze software reliability, failure time data that occurred randomly during system operation was used, and the calculation of the parameters was solved using the maximum likelihood estimation. As a result of comprehensive evaluation through various attribute analysis (mean value function, development cost, optimal release time), it was confirmed that the Rayleigh model had the best performance. Through this study, the attributes of the software development cost model applying the Gamma family distribution, which has no previous research case, were newly identified. Also, basic design data could also be presented so that developers can efficiently utilize this research data at an early stage.

Forward Link Erlang Capacity of the IMT-2000 Hierachical Cellular System with Mixed Traffic Rates (다양한 트래픽 속도를 갖는 IMT-2000 계층적 셀룰러 시스템의 순방향 링크 얼랑 용량 분석)

  • 이영용;이상문;최형진
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.26 no.8A
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    • pp.1311-1321
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    • 2001
  • 본 논문에서는 매크로셀/마이크로셀 기반의 셀 구조의 순방향 얼랑 용량 및 outage 확률을 수학적으로 분석하였다. 각 계층 셀에는 음성 및 다양한 속도의 데이터 서비스 사용자가 균일하게 분포되어 있다고 가정하였으며 계층의 자원 분배 방법으로는 각 계층이 동일한 주파수 대역을 사용하는 대역 공유 방식을 적용하였다. 또한, 본 논문에서는 전력 제어의 불완전성에 의한 영향도 고려하였다. 대역 공유 계층셀 구조의 순방향 용량은 계층셀 기지국간 송신 전력비 및 매크로셀 내부에 위치한 마이크로셀의 상대적인 위치와 밀접한 관련이 있다는 결론을 내릴 수 있었으며 모의 실험 결과를 통해 증명하였다. 본 논문에서는 대역폭이 1.2288MHz인 1x 시스템과 광대역 3x 시스템의 순방향 얼랑 용량을 비교 분석하였으며 3x 시스템이 1x 시스템에 비해 3배 이상의 얼랑 용량 증대효과를 가진다는 것을 제시하였다.

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Bayesian Estimation of Shape Parameter of Pareto Income Distribution Using LINEX Loss Function

  • Saxena, Sharad;Singh, Housila P.
    • Communications for Statistical Applications and Methods
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    • v.14 no.1
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    • pp.33-55
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    • 2007
  • The economic world is full of patterns, many of which exert a profound influence over society and business. One of the most contentious is the distribution of wealth. Way back in 1897, an Italian engineer-turned-economist named Vilfredo Pareto discovered a pattern in the distribution of wealth that appears to be every bit as universal as the laws of thermodynamics or chemistry. The present paper proposes some Bayes estimators of shape parameter of Pareto income distribution in censored sampling. Asymmetric LINEX loss function has been considered to study the effects of overestimation and underestimation. For the prior distribution of the parameter involved a number of priors including one and two-parameter exponential, truncated Erlang and doubly truncated gamma have been contemplated to express the belief of the experimenter s/he has regarding the parameter. The estimators thus obtained have been compared theoretically and empirically with the corresponding estimators under squared error loss function, some of which were reported by Bhattacharya et al. (1999).

Proposal of Approximation Analysis Method for GI/G/1 Queueing System

  • Kong, Fangfang;Nakase, Ippei;Arizono, Ikuo;Takemoto, Yasuhiko
    • Industrial Engineering and Management Systems
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    • v.7 no.2
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    • pp.143-149
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    • 2008
  • There have been some approximation analysis methods for a GI/G/1 queueing system. As one of them, an approximation technique for the steady-state probability in the GI/G/1 queueing system based on the iteration numerical calculation has been proposed. As another one, an approximation formula of the average queue length in the GI/G/1 queueing system by using the diffusion approximation or the heuristics extended diffusion approximation has been developed. In this article, an approximation technique in order to analyze the GI/G/1 queueing system is considered and then the formulae of both the steady-state probability and the average queue length in the GI/G/1 queueing system are proposed. Through some numerical examples by the proposed technique, the existing approximation methods, and the Monte Carlo simulation, the effectiveness of the proposed approximation technique is verified.

Multi-group Management in the Distributed Real-time Multicast Protocol (분산 실시간 멀티캐스트 프로토콜에서의 다중 그룹 관리)

  • 노진홍;홍영식
    • Proceedings of the Korean Information Science Society Conference
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    • 2004.04a
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    • pp.460-462
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    • 2004
  • 분산 환경에서의 효과적인 통신 방법인 멀티캐스트 프로토콜이 그동안 많이 연구되었다. 하지만 인터넷 기반 네트워크의 급속한 발달로 실시간 데이터를 요구하는 환경으로 변화함에 따라 실시간 멀티캐스트 프로토콜의 필요성이 대두되었다. 실시간 프로토콜 중 하나인 RFRM(Release-time based Fault-tolerant Real-time Multicast protocol)은 메시지의 신뢰성을 보장하고 뷰의 일관성을 유지하며 고장을 감내한다는 장점이 있지만 한 개의 그룹만을 지원한다는 단점을 가지고 있다. 따라서 본 논문에서는 실시간 멀티캐스트 프로토콜인 RFRM을 확장하여 멀티그룹을 지원하는 뷰 관리기능을 추가하였고, 그 성능을 분석하기 위하여 Erlang/OTP를 사용하여 구현된 결과를 TMO(Time-triggered Message-triggered Object) 모델을 사용한 실시간 시뮬레이션의 결과와 기존의 RFRM의 그룹 연산 성능과 비교하였다.

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