IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v124y2000i3p447-467.html
   My bibliography  Save this article

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

Author

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

Abstract

No abstract is available for this item.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(99)00174-5
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. James R. Jackson, 1963. "Jobshop-Like Queueing Systems," Management Science, INFORMS, vol. 10(1), pages 131-142, October.
    5. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Pradhan, Salil & Damodaran, Purushothaman & Srihari, Krishnaswami, 2008. "Predicting performance measures for Markovian type of manufacturing systems with product failures," European Journal of Operational Research, Elsevier, vol. 184(2), pages 725-744, January.
    2. Kim, Sunkyo, 2004. "The heavy-traffic bottleneck phenomenon under splitting and superposition," European Journal of Operational Research, Elsevier, vol. 157(3), pages 736-745, September.
    3. Saulius Minkevičius & Igor Katin & Joana Katina & Irina Vinogradova-Zinkevič, 2021. "On Little’s Formula in Multiphase Queues," Mathematics, MDPI, vol. 9(18), pages 1-15, September.
    4. Francisco Castro & Hamid Nazerzadeh & Chiwei Yan, 2020. "Matching queues with reneging: a product form solution," Queueing Systems: Theory and Applications, Springer, vol. 96(3), pages 359-385, December.
    5. J.P.C. Blanc, 2002. "Computation of Autocorrelations of Interdeparture Times by Numerical Transform Inversion," Annals of Operations Research, Springer, vol. 112(1), pages 83-100, April.
    6. Berkley, Blair J., 1996. "Analyzing service blueprints using phase distributions," European Journal of Operational Research, Elsevier, vol. 88(1), pages 152-164, January.
    7. Shin, Yang Woo & Moon, Dug Hee, 2011. "Approximation of M/M/c retrial queue with PH-retrial times," European Journal of Operational Research, Elsevier, vol. 213(1), pages 205-209, August.
    8. Flötteröd, G. & Osorio, C., 2017. "Stochastic network link transmission model," Transportation Research Part B: Methodological, Elsevier, vol. 102(C), pages 180-209.
    9. Papadopoulos, H. T. & Heavey, C., 1996. "Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines," European Journal of Operational Research, Elsevier, vol. 92(1), pages 1-27, July.
    10. Morabito, Reinaldo & de Souza, Mauricio C. & Vazquez, Mariana, 2014. "Approximate decomposition methods for the analysis of multicommodity flow routing in generalized queuing networks," European Journal of Operational Research, Elsevier, vol. 232(3), pages 618-629.
    11. Lin, Yu-Hsin & Lee, Ching-En, 2001. "A total standard WIP estimation method for wafer fabrication," European Journal of Operational Research, Elsevier, vol. 131(1), pages 78-94, May.
    12. Sumi Kim & Seongmoon Kim, 2015. "Differentiated waiting time management according to patient class in an emergency care center using an open Jackson network integrated with pooling and prioritizing," Annals of Operations Research, Springer, vol. 230(1), pages 35-55, July.
    13. Weimin Dai & Jian-Qiang Hu, 2022. "Correlated queues with service times depending on inter-arrival times," Queueing Systems: Theory and Applications, Springer, vol. 100(1), pages 41-60, February.
    14. Leon Yang Chu & Zhixi Wan & Dongyuan Zhan, 2018. "Harnessing the Double-edged Sword via Routing: Information Provision on Ride-hailing Platforms," Working Papers 18-04, NET Institute.
    15. Dijk, N.M. van, 1989. "Product forms for queueing networks with limited clusters," Serie Research Memoranda 0029, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    16. Wall, A.D. & Worthington, D.J., 2007. "Time-dependent analysis of virtual waiting time behaviour in discrete time queues," European Journal of Operational Research, Elsevier, vol. 178(2), pages 482-499, April.
    17. Haskose, A. & Kingsman, B. G. & Worthington, D, 2004. "Performance analysis of make-to-order manufacturing systems under different workload control regimes," International Journal of Production Economics, Elsevier, vol. 90(2), pages 169-186, July.
    18. Ghanmi, Ahmed, 2006. "Modeling and analysis of a Canadian Forces Geomatics division workflow," European Journal of Operational Research, Elsevier, vol. 170(3), pages 1001-1016, May.
    19. Dijk, N.M. van, 1991. "Product forms for queueing networks with limited clusters," Serie Research Memoranda 0013, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    20. Hong Chen & Hanqin Zhang, 2000. "Stability of Multiclass Queueing Networks Under Priority Service Disciplines," Operations Research, INFORMS, vol. 48(1), pages 26-37, February.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:124:y:2000:i:3:p:447-467. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.