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Communications in Statistics. Stochastic Models Volume 5, 1989 - Issue 4
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Original Articles

Experimental results on matrix-analytical solution techniques–extensions and comparisons

Levent Gün Electrical Engineering Department, University of Maryland, College Park, Maryland, 20742
Pages 669-682 | Published online: 13 Dec 2007

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Dong-Yuh Yang, Yi-Hsuan Chen & Chia-Huang Wu. (2020) Modelling and optimisation of a two-server queue with multiple vacations and working breakdowns. International Journal of Production Research 58:10, pages 3036-3048.
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Tao Jiang & Baogui Xin. (2019) Computational analysis of the queue with working breakdowns and delaying repair under a Bernoulli-schedule-controlled policy. Communications in Statistics - Theory and Methods 48:4, pages 926-941.
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J.S.H. van Leeuwaarden & E.M.M. Winands. (2006) Quasi-Birth-and-Death Processes with an Explicit Rate Matrix. Stochastic Models 22:1, pages 77-98.
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Nail Akar, Nihat C. Oğuz & Khosrow Sohraby. (2000) A novel computational method for solving finite qbd processes. Communications in Statistics. Stochastic Models 16:2, pages 273-311.
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Attahiru Sule Alfa, Bhaskar Sengupta & Tetsuya Takine. (1998) The use of non-linear programming in matrix analytic methods. Communications in Statistics. Stochastic Models 14:1-2, pages 351-367.
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Nail Akar & Khosrow Sohraby. (1997) An invariant subspace approach in m/g/l and g/m/l type markov chains. Communications in Statistics. Stochastic Models 13:3, pages 381-416.
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P.C.Kao Edward & LIN Chiunsin. (1991) Computing the r matrices in matrix-geometric solutions for a class of qbd queues: a phase substitution approach. Communications in Statistics. Stochastic Models 7:4, pages 629-643.
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Articles from other publishers (25)

Katsuhisa Ouchi & Hiroyuki Masuyama. (2022) LEVEL-WISE SUBGEOMETRIC CONVERGENCE OF THE LEVEL-INCREMENT TRUNCATION APPROXIMATION OF M/G/1-TYPE MARKOV CHAINS. Journal of the Operations Research Society of Japan 65:4, pages 198-215.
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Dieter Fiems, Eline De Cuypere, Koen De Turck & Dieter Claeys. (2020) Performance Analysis of Hybrid MTS/MTO Systems with Stochastic Demand and Production. Mathematics 8:11, pages 1925.
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Tao Jiang, Liwei Liu & Yuanyuan Zhu. (2017) Analysis of a Batch Service Polling System in a Multi-phase Random Environment. Methodology and Computing in Applied Probability 20:2, pages 699-718.
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Fernanda Campello, Armann Ingolfsson & Robert A. Shumsky. (2017) Queueing Models of Case Managers. Management Science 63:3, pages 882-900.
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Syed Asif Ali Shah, Wajiha Shah, M. Faisal Hayat & Gordhan Das Menghwar. (2009) Modelling Finite Buffer Slotted Ring Network Using Matrix Geometric Method. Modelling Finite Buffer Slotted Ring Network Using Matrix Geometric Method.
Tetsuya Takine. (1999) The Nonpreemptive Priority MAP/G/1 Queue. Operations Research 47:6, pages 917-927.
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Tolga Tüfekçi & Refik Güllü. (2016) An iterative approximation scheme for repetitive Markov processes. Journal of Applied Probability 36:3, pages 654-667.
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Tolga Tüfekçi & Refik Güllü. (2016) An iterative approximation scheme for repetitive Markov processes. Journal of Applied Probability 36:03, pages 654-667.
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Yang Woo Shin & C. E. M. Pearce. (1998) An algorithmic approach to the Markov chain with transition probability matrix of upper block-Hessenberg form. Korean Journal of Computational & Applied Mathematics 5:2, pages 361-384.
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Dario Andrea Bini & Beatrice Meini. (1996) Exploiting the Toeplitz structure in certain queueing problems. Calcolo 33:3-4, pages 289-305.
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Jun Huang, Tao Zhu & Jeremiah F. Hayes. (1996) An efficient computational method for solving nonlinear matrix equation and its application in queuing analysis. Journal of Computer Science and Technology 11:3, pages 272-285.
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Nail Akar & Erdal Arikan. (1996) A numerically efficient method for the MAP/D/1/K queue via rational approximations. Queueing Systems 22:1-2, pages 97-120.
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Tetsuya Takine. (1996) A NONPREEMPTIVE PRIORITY MAP/G/1 QUEUE WITH TWO CLASSES OF CUSTOMERS. Journal of the Operations Research Society of Japan 39:2, pages 266-290.
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Xing Chen, I. Lambadaris & J. F. Hayes. (1995) Queueing analysis of ATM multicast switching models. IEEE Transactions on Communications 43:12, pages 2886.
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Isi Mitrani & Ram Chakka. (1995) Spectral expansion solution for a class of Markov models: application and comparison with the matrix-geometric method. Performance Evaluation 23:3, pages 241-260.
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Xing Chen, I. Lambadaris & Jeremiah F. Hayes. (2007) Performance study of ATM multicast switching systems. International Journal of Communication Systems 8:5, pages 287-301.
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Tetsuya Takine, Yutaka Matsumoto, Tatsuya Suda & Toshiharu Hasegawa. (1994) Mean waiting times in nonpreemptive priority queues with Markovian Arrival and i.i.d. service Processes. Performance Evaluation 20:1-3, pages 131-149.
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Guy Latouche & V. Ramaswami. (2016) A logarithmic reduction algorithm for quasi-birth-death processes. Journal of Applied Probability 30:3, pages 650-674.
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Guy Latouche & V. Ramaswami. (2016) A logarithmic reduction algorithm for quasi-birth-death processes. Journal of Applied Probability 30:03, pages 650-674.
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H. Ahmadi, R. Guerin & K. Sohraby. (1993) Analysis of a rate-based access control mechanism for high-speed networks. IEEE Transactions on Communications 41:6, pages 940-950.
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Guy Latouche. 1993. Linear Algebra, Markov Chains, and Queueing Models. Linear Algebra, Markov Chains, and Queueing Models 231 265 .
I. Lambadaris, X. Chen, J. Hayes & F. Ghazi-Moghaddam. (1992) Performance evaluation of a circuit-switched node with queuable overflow traffic. Performance evaluation of a circuit-switched node with queuable overflow traffic.
X. Chen, I. Lambadaris & J.F. Hayes. (1992) A general unified model for performance analysis of multicast switching. A general unified model for performance analysis of multicast switching.
Hamid Ahmadi & Roch Guérin. 1991. Data Communication Systems and their Performance. Data Communication Systems and their Performance 109 125 .
H. Ahmadi, R. Guerin & K. Sohraby. (1990) Analysis of leaky bucket access control mechanism with batch arrival process. Analysis of leaky bucket access control mechanism with batch arrival process.

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