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Stochastic Models Volume 23, 2007 - Issue 1
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Original Articles

Asymptotic Behaviors of the Loss Probability for a Finite Buffer Queue with QBD Structure

Masakiyo Miyazawa Department of Information Sciences, Tokyo University of Science, Chiba, JapanCorrespondence[email protected]
,
Yutaka Sakuma Department of Information Sciences, Tokyo University of Science, Chiba, Japan
&
Shuhei Yamaguchi Network Platform Development Division, NEC Corporation, Minato-ku, Tokyo, Japan
Pages 79-95 | Received 01 Mar 2005, Accepted 01 Jun 2006, Published online: 24 Feb 2007

Citations (16)

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Jeongsim Kim & Bara Kim. (2009) Asymptotics in the MAP/G/1 Queue with Critical Load. Stochastic Analysis and Applications 28:1, pages 157-168.
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Articles from other publishers (15)

Hiroyuki Masuyama, Yosuke Katsumata & Tatsuaki Kimura. (2023) A subgeometric convergence formula for finite-level M/G/1-type Markov chains: via a block-decomposition-friendly solution to the Poisson equation of the deviation matrix. Advances in Applied Probability, pages 1-41.
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Afaq Khattak, Jiang Yangsheng & Malik Muneeb Abid. (2018) Assessment of Passengers’ Transfer Zones in the Transit Centers: A PH-Based State-Dependent Discrete-Event Simulation Framework. Arabian Journal for Science and Engineering 44:5, pages 4491-4508.
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Afaq Khattak, Jiang Yangsheng & Malik Muneeb Abid. (2018) Optimal Configuration of the Metro Rail Transit Station Service Facilities by Integrated Simulation-Optimization Method Using Passengers’ Flow Fluctuation. Arabian Journal for Science and Engineering 43:10, pages 5499-5516.
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Yanru Chen, Bing Yi, Yangsheng Jiang, Jidong Sun & M.I.M. Wahab. (2018) Inter-arrival time distribution of passengers at service facilities in underground subway stations: A case study of the metropolitan city of Chengdu in China. Transportation Research Part A: Policy and Practice 111, pages 227-251.
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Juanxiu Zhu, Lu Hu, Yangsheng Jiang & Afaq Khattak. (2017) Circulation network design for urban rail transit station using a PH(n)/PH(n)/C/C queuing network model. European Journal of Operational Research 260:3, pages 1043-1068.
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Afaq Khattak, Yangsheng Jiang, Juanxiu Zhu & Lu Hu. (2017) A new simulation-optimization approach for the circulation facilities design at urban rail transit station. Archives of Transport 43:3, pages 69-90.
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Afaq Khattak, Jiang Yangsheng, Hu Lu & Zhu Juanxiu. (2017) Width Design of Urban Rail Transit Station Walkway: A Novel Simulation-Based Optimization Approach. Urban Rail Transit 3:2, pages 112-127.
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Lu Hu, Yangsheng Jiang, Juanxiu Zhu & Yanru Chen. (2015) A PH/PH state-dependent queuing model for metro station corridor width design . European Journal of Operational Research 240:1, pages 109-126.
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Bin Liu, Jinting Wang & Yiqiang Q. Zhao. (2013) Tail asymptotics of the waiting time and the busy period for the $${{\varvec{M/G/1/K}}}$$ queues with subexponential service times. Queueing Systems 76:1, pages 1-19.
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Yangsheng Jiang, Lu Hu, Juanxiu Zhu & Yanru Chen. (2013) PH fitting of the arrival interval distribution of the passenger flow on urban rail transit stations. Applied Mathematics and Computation 225, pages 158-170.
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Yuanyuan Liu & Yiqiang Q. Zhao. (2013) Asymptotic behavior of the loss probability for an M/G/1/N queue with vacations. Applied Mathematical Modelling 37:4, pages 1768-1780.
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Yutaka Sakuma & Masakiyo Miyazawa. (2010) Asymptotic behavior of the loss rate for Markov-modulated fluid queue with a finite buffer. Queueing Systems 65:1, pages 19-42.
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Yutaka Sakuma & Masakiyo Miyazawa. 2009. Advances in Queueing Theory and Network Applications. Advances in Queueing Theory and Network Applications 195 211 .
Bara Kim, Jeongsim Kim & Jisu Lee. (2008) Asymptotic behavior of the stationary distribution in a finite QBD process with zero mean drift. Operations Research Letters 36:1, pages 127-132.
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Jeongsim Kim & Bara Kim. (2007) Asymptotic analysis for loss probability of queues with finite GI/M/1 type structure. Queueing Systems 57:1, pages 47-55.
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