IDEAS home Printed from https://ideas.repec.org/a/taf/tprsxx/v55y2017i19p5760-5781.html
   My bibliography  Save this article

Performance analysis of open general queuing networks with blocking and feedback

Author

Listed:
  • Hui-Yu Zhang
  • Qing-Xin Chen
  • James MacGregor Smith
  • Ning Mao
  • Ai-Lin Yu
  • Zhan-Tao Li

Abstract

Queuing network models have been extensively used for performance evaluation in many modern manufacturing and communication systems. The phenomenon of feedback reflects many practical situations, e.g. reworking in the production systems. However, existing research on open queuing network with feedback mainly concentrates on the models with infinite buffers or the models with finite buffers but exponentially distributed inter-arrival and service times. Research on open queuing networks with finite buffers, feedback and general inter-arrival and service times has not been reported. In this paper, a Rate Iterative Method embedded with the Generalised Expansion Method, is proposed for modelling this type of queuing network. System performance measures include the mean throughput, work-in-process and sojourn time all calculated by the proposed method. The accuracy and the efficiency of the proposed method are tested by comparing the results with other methods or simulation results from the experiments. Finally, a case study of a practical production system used in the manufacturing industry is studied and illustrates the applications of the proposed method. The results in this paper can be used as a basis for system design analysis and resource planning.

Suggested Citation

  • Hui-Yu Zhang & Qing-Xin Chen & James MacGregor Smith & Ning Mao & Ai-Lin Yu & Zhan-Tao Li, 2017. "Performance analysis of open general queuing networks with blocking and feedback," International Journal of Production Research, Taylor & Francis Journals, vol. 55(19), pages 5760-5781, October.
    • Handle: RePEc:taf:tprsxx:v:55:y:2017:i:19:p:5760-5781
    DOI: 10.1080/00207543.2017.1334975
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207543.2017.1334975
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207543.2017.1334975?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. 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.
    2. Hui-Yu Zhang & Qing-Xin Chen & Ning Mao, 2016. "System performance analysis of flexible flow shop with match processing constraint," International Journal of Production Research, Taylor & Francis Journals, vol. 54(20), pages 6052-6070, October.
    3. Upadhyaya, Shweta, 2016. "Performance prediction of a discrete-time batch arrival retrial queue with Bernoulli feedback," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 108-119.
    4. Kerbachea, Laoucine & MacGregor Smith, J., 1987. "The generalized expansion method for open finite queueing networks," European Journal of Operational Research, Elsevier, vol. 32(3), pages 448-461, December.
    5. Yutaka Takahashi & Hideo Miyahara & Toshiharu Hasegawa, 1980. "An Approximation Method for Open Restricted Queueing Networks," Operations Research, INFORMS, vol. 28(3-part-i), pages 594-602, June.
    6. Kavusturucu, Ayse & Gupta, Surendra M., 1999. "Manufacturing systems with machine vacations, arbitrary topology and finite buffers," International Journal of Production Economics, Elsevier, vol. 58(1), pages 1-15, January.
    7. Bar-Lev, Shaul K. & Boxma, Onno & Stadje, Wolfgang & Van der Duyn Schouten, Frank A. & Wiesmeyr, Christoph, 2009. "Two-stage queueing network models for quality control and testing," European Journal of Operational Research, Elsevier, vol. 198(3), pages 859-866, November.
    8. Tom van Woensel & Frederico R B Cruz, 2014. "Optimal Routing in General Finite Multi-Server Queueing Networks," PLOS ONE, Public Library of Science, vol. 9(7), pages 1-15, July.
    9. Laoucine Kerbache & J.Macgregor Smith, 1987. "The generalized expansion method for open finite queueing networks," Post-Print hal-00484457, HAL.
    10. Toshikazu Kimura, 1996. "A Transform-Free Approximation for the Finite Capacity M / G / s Queue," Operations Research, INFORMS, vol. 44(6), pages 984-988, December.
    11. K. T. Marshall, 1968. "Some Inequalities in Queuing," Operations Research, INFORMS, vol. 16(3), pages 651-668, June.
    12. James R. Jackson, 1963. "Jobshop-Like Queueing Systems," Management Science, INFORMS, vol. 10(1), pages 131-142, October.
    13. Kerbache, Laoucine & Smith, J. MacGregor, 2000. "Multi-objective routing within large scale facilities using open finite queueing networks," European Journal of Operational Research, Elsevier, vol. 121(1), pages 105-123, February.
    14. J Stoldt & A Schlegel & M Putz, 2016. "Enhanced integration of energy-related considerations in discrete event simulation for manufacturing applications," Journal of Simulation, Taylor & Francis Journals, vol. 10(2), pages 113-122, May.
    15. Smith, J. MacGregor & Cruz, F.R.B. & van Woensel, T., 2010. "Topological network design of general, finite, multi-server queueing networks," European Journal of Operational Research, Elsevier, vol. 201(2), pages 427-441, March.
    16. Haskose, A. & Kingsman, B. G. & Worthington, D., 2002. "Modelling flow and jobbing shops as a queueing network for workload control," International Journal of Production Economics, Elsevier, vol. 78(3), pages 271-285, August.
    17. Hyo-Seong Lee & Stephen M. Pollock, 1990. "Approximation Analysis of Open Acyclic Exponential Queueing Networks with Blocking," Operations Research, INFORMS, vol. 38(6), pages 1123-1134, December.
    18. Laoucine Kerbache & J. Macgregor Smith, 2000. "Multi-objective routing within large scale facilities using open finite queueing networks," Post-Print hal-00798811, HAL.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. Osorio, Carolina & Wang, Carter, 2017. "On the analytical approximation of joint aggregate queue-length distributions for traffic networks: A stationary finite capacity Markovian network approach," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 305-339.
    3. Osorio, Carolina & Bierlaire, Michel, 2009. "An analytic finite capacity queueing network model capturing the propagation of congestion and blocking," European Journal of Operational Research, Elsevier, vol. 196(3), pages 996-1007, August.
    4. F. R. B. Cruz & A. R. Duarte & G. L. Souza, 2018. "Multi-objective performance improvements of general finite single-server queueing networks," Journal of Heuristics, Springer, vol. 24(5), pages 757-781, October.
    5. Wu, Kan & McGinnis, Leon, 2012. "Performance evaluation for general queueing networks in manufacturing systems: Characterizing the trade-off between queue time and utilization," European Journal of Operational Research, Elsevier, vol. 221(2), pages 328-339.
    6. 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.
    7. Stepanov, Alexander & Smith, James MacGregor, 2009. "Multi-objective evacuation routing in transportation networks," European Journal of Operational Research, Elsevier, vol. 198(2), pages 435-446, October.
    8. Korporaal, R. & Ridder, A.A.N. & Kloprogge, P. & Dekker, R., 1999. "Capacity planning of prisons in the Netherlands," Econometric Institute Research Papers EI 9909-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    9. Cruz, F.R.B. & Van Woensel, T. & Smith, J. MacGregor, 2010. "Buffer and throughput trade-offs in M/G/1/K queueing networks: A bi-criteria approach," International Journal of Production Economics, Elsevier, vol. 125(2), pages 224-234, June.
    10. Azaron, Amir & Katagiri, Hideki & Kato, Kosuke & Sakawa, Masatoshi, 2006. "Modelling complex assemblies as a queueing network for lead time control," European Journal of Operational Research, Elsevier, vol. 174(1), pages 150-168, October.
    11. Smith, J. MacGregor & Cruz, F.R.B. & van Woensel, T., 2010. "Topological network design of general, finite, multi-server queueing networks," European Journal of Operational Research, Elsevier, vol. 201(2), pages 427-441, March.
    12. H. S. R. Martins & F. R. B. Cruz & A. R. Duarte & F. L. P. Oliveira, 2019. "Modeling and optimization of buffers and servers in finite queueing networks," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 123-150, March.
    13. Noa Zychlinski & Avishai Mandelbaum & Petar Momčilović & Izack Cohen, 2020. "Bed Blocking in Hospitals Due to Scarce Capacity in Geriatric Institutions—Cost Minimization via Fluid Models," Manufacturing & Service Operations Management, INFORMS, vol. 22(2), pages 396-411, March.
    14. Agarwal, Y.K. & Aneja, Y.P. & Jayaswal, Sachin, 2022. "Directed fixed charge multicommodity network design: A cutting plane approach using polar duality," European Journal of Operational Research, Elsevier, vol. 299(1), pages 118-136.
    15. Chen, Shih-Pin, 2004. "Parametric nonlinear programming for analyzing fuzzy queues with finite capacity," European Journal of Operational Research, Elsevier, vol. 157(2), pages 429-438, September.
    16. Chen, Shih-Pin, 2007. "Solving fuzzy queueing decision problems via a parametric mixed integer nonlinear programming method," European Journal of Operational Research, Elsevier, vol. 177(1), pages 445-457, February.
    17. Saied Samiedaluie & Vedat Verter, 2019. "The impact of specialization of hospitals on patient access to care; a queuing analysis with an application to a neurological hospital," Health Care Management Science, Springer, vol. 22(4), pages 709-726, December.
    18. Kerbache, Laoucine & MacGregor Smith, James, 2004. "Queueing networks and the topological design of supply chain systems," International Journal of Production Economics, Elsevier, vol. 91(3), pages 251-272, October.
    19. Remco Bierbooms & Ivo Adan & Marcel Vuuren, 2013. "Approximate analysis of single-server tandem queues with finite buffers," Annals of Operations Research, Springer, vol. 209(1), pages 67-84, October.
    20. Hughes, Michael S. & Lunday, Brian J. & Weir, Jeffrey D. & Hopkinson, Kenneth M., 2021. "The multiple shortest path problem with path deconfliction," European Journal of Operational Research, Elsevier, vol. 292(3), pages 818-829.

    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:taf:tprsxx:v:55:y:2017:i:19:p:5760-5781. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TPRS20 .

    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.