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Higher order approximations for the single server queue with splitting, merging and feedback

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  • Girish, Muckai K.
  • Hu, Jian-Qiang

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  • Girish, Muckai K. & Hu, Jian-Qiang, 2000. "Higher order approximations for the single server queue with splitting, merging and feedback," European Journal of Operational Research, Elsevier, vol. 124(3), pages 447-467, August.
    • Handle: RePEc:eee:ejores:v:124:y:2000:i:3:p:447-467
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    1. Gabriel R. Bitran & Sriram Dasu, 1993. "Approximating Nonrenewal Processes by Markov Chains: Use of Super-Erlang (SE) Chains," Operations Research, INFORMS, vol. 41(5), pages 903-923, October.
    2. Ward Whitt, 1982. "Approximating a Point Process by a Renewal Process, I: Two Basic Methods," Operations Research, INFORMS, vol. 30(1), pages 125-147, February.
    3. Jian-Qiang Hu, 1996. "The Departure Process of the GI / G /1 Queue and Its MacLaurin Series," Operations Research, INFORMS, vol. 44(5), pages 810-815, October.
    4. Susan L. Albin, 1984. "Approximating a Point Process by a Renewal Process, II: Superposition Arrival Processes to Queues," Operations Research, INFORMS, vol. 32(5), pages 1133-1162, October.
    5. James R. Jackson, 1963. "Jobshop-Like Queueing Systems," Management Science, INFORMS, vol. 10(1), pages 131-142, October.
    6. Mary A. Johnson, 1993. "Selecting Parameters of Phase Distributions: Combining Nonlinear Programming, Heuristics, and Erlang Distributions," INFORMS Journal on Computing, INFORMS, vol. 5(1), pages 69-83, February.
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    1. Girish, Muckai K. & Hu, Jian-Qiang, 2001. "Approximations for the departure process of the G/G/1 queue with Markov-modulated arrivals," European Journal of Operational Research, Elsevier, vol. 134(3), pages 540-556, November.

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