• Title/Summary/Keyword: Erlang′s formula

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Erlang Capacity for the Reverse Link of a DS/CDMA Cellular System Supporting Voice and Data Service in Rayleigh Fading Channel (레일레이 페이딩 채널에서 음성 및 데이터 서비스를 지원하는 DS/CDMA 셀룰라 시스템의 역방향 링크에 대한 얼랑 용량)

  • Kim, Hang-Rae;Kim, Nam
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.38 no.12
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    • pp.20-28
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    • 2001
  • In this paper, a extended blocking probability formula for reverse link of a DS/CDMA cellular system supporting voice and data service is derived in Rayleigh fading channel. Also, voice and data Erlang capacity considering shadowing are analyzed and compared with those considering both shadowing and multipath fading, respectively. Assuming that the blocking probability set 1% in the Rayleigh fading channel, they are observed that voice Erlang capacity of 13.38 Erlangs and data Erlang capacity of 8.92 Erlangs are supported at the data rate $R_b$=9.6 kbps, and voice Erlang capacity of 7.47 Erlangs and data Erlang capacity of 4.98 Erlangs are supported at the data rate $R_b$=14.4 kbps, respectively, and then are less 21.4% for $R_b$=9.6 kbps, 24.9% for $R_b$=14.4 kbps than Erlang capacity considering shadowing only, respectively. It is shown that the effect of multipath fading must not be ignored. Also, it is presented that accurate voice and data Erlang capacity which could be supported by the DS/CDMA cellular system.

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Erlang capacity for the reverse link of an imperfect power controlled DS/CDMA cellular system in multipath fading environments (다중경로 페이딩 환경에서 불완전 전력제어된 DS/CDMA 셀룰라 시스템의 역방향 링크에 대한 얼랑용량)

  • Kim, Hang-Rae;Kim, Nam
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.37 no.5
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    • pp.1-9
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    • 2000
  • In this paper, for the reverse link of a imperfect power controlled DS/CDMA cellular system when a mobile radio channel is a Rayleigh distributed multipath fading channel, A extended DS/CDMA blocking probability formula considering both shadowing and multipath fading is derived. Erlang capacity and equivalent channel number considering shadowing are analyzed and compared with those considering both shadowing and multipath fading, respectively. The DS/CDMA blocking probability is calculated based on the analysis method that obtains Erlang capacity and ICF(interference correction factor) using the median value of $E_{b(i)}$/ $I_{0}$ corresponding to each reverse link user Assuming that the blocking probability set 2%, it is observed that the Erlang capacity is 19.97 Erlang at the data rate $R_{b}$=9.6 kbps and 11.67 Erlang at the data rate $R_{b}$=14.4 kbps and then is less 16% and 19% than the Erlang capacity considering shadowing only, respectively. It is also shown that the effect of multipath fading must not be ignored and then exact Erlang capacity and equivalent channel numbers that the DS/CDMA cellular system can support are provided.d.d.d.

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TWO-LINK APPROXIMATION SCHEMES FOR LINEAR LOSS NETWORKS WITHOUT CONTROLS

  • Bebbington, M.S.;Pollett, P.K.;Ziedins, I.
    • Journal of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.539-557
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    • 1998
  • This paper is concerned with the performance evaluation of loss networks. We shall review the Erlang Fixed Point (EFP) method for estimating the blocking probabilities, which is based on an assumption that links are blocked independently. For networks with linear structure, the behaviour of adjacent links can be highly correlated. We shall give particular attention to recently-developed fixed-point methods which specifically account for the dependencies between neighbouring links. For the network considered here, namely a ring network with two types of traffic, these methods produce relative errors typically $10^{-5}$ of that found using the basic EFP approximation.

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Throughput-based fair bandwidth allocation in OBS networks

  • Le, Van Hoa;Vo, Viet Minh Nhat;Le, Manh Thanh
    • ETRI Journal
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    • v.40 no.5
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    • pp.624-633
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    • 2018
  • Fair bandwidth allocation (FBA) has been studied in optical burst switching (OBS) networks, with the main idea being to map the max-min fairness in traditional IP networks to the fair-loss probability in OBS networks. This approach has proven to be fair in terms of the bandwidth allocation for differential connections, but the use of the ErlangB formula to calculate the theoretical loss probability has made this approach applicable only to Poisson flows. Furthermore, it is necessary to have a reasonable fairness measure to evaluate FBA models. This article proposes an approach involving throughput-based-FBA, called TFBA, and recommends a new fairness measure that is based on the ratio of the actual throughput to the allocated bandwidth. An analytical model for the performance of the output link with TFBA is also proposed.

An Optimal Capacity Allocation Problem in Designing advanced Information Communication Processing System (대용량 통신처리시스템에서 사용자 이용성향과 ISDN를 고려한 망정합장치의 회선용량 분배에 관한 연구)

  • 김영일;김찬규;이영호;김영휘;류근호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.5B
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    • pp.809-819
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    • 2000
  • This paper deals with an optimal capacity allocation problem and performance analysis in Advanced Information Communication Processing System(AICPS). AICPS is a gateway system interconnection PSTN(Public Switched Telephone Network), ISDN(Intergrated Services Digital Network), PSDN(Packet Switched Data Network), internet, Frame Relay and ATM together. This study considers not only ISDN and Internet but also user behavior of On-line service which is analyzed by Markov process. A call blocking probability of TNAS and INAS is computed by Erlang's formula. Then, PNAS and WNAS's call blocking probability are computed by Stochastic knapsack modeling. The result is compared with result of simulation. Finally, we allocate an optimal capacity minimizing total call blocking probability.

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