IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v182y2011i1p31-6510.1007-s10479-009-0595-3.html
   My bibliography  Save this article

Performance evaluation of transfer lines with general repair times and multiple failure modes

Author

Listed:
  • Marcello Colledani
  • Tullio Tolio

Abstract

The paper proposes a decomposition method for evaluating the performance of transfer lines where machines can fail in multiple modes and can be repaired with non-exponential times. Indeed, while times to machine failure can be often modeled using exponential distributions with acceptable accuracy, times to repair are very rarely observed to be exponentially distributed in actual systems. This feature limits the applicability of existing approximate analytical methods to real production lines. In this paper, the discrete acyclic phase-type distribution is used to model the repair process, for each failure mode of the machines composing the system. The exact analysis of the two-machine system is used as a building block for the decomposition method, proposed to study multi-stage lines. Numerical results show the high accuracy of the developed method in estimating the average throughput and buffer levels. Copyright Springer Science+Business Media, LLC 2011

Suggested Citation

  • Marcello Colledani & Tullio Tolio, 2011. "Performance evaluation of transfer lines with general repair times and multiple failure modes," Annals of Operations Research, Springer, vol. 182(1), pages 31-65, January.
    • Handle: RePEc:spr:annopr:v:182:y:2011:i:1:p:31-65:10.1007/s10479-009-0595-3
    DOI: 10.1007/s10479-009-0595-3
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-009-0595-3
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-009-0595-3?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. Mitchell Burman & Stanley B. Gershwin & Curtis Suyematsu, 1998. "Hewlett-Packard Uses Operations Research to Improve the Design of a Printer Production Line," Interfaces, INFORMS, vol. 28(1), pages 24-36, February.
    2. Stanley B. Gershwin & Irvin C. Schick, 1983. "Modeling and Analysis of Three-Stage Transfer Lines with Unreliable Machines and Finite Buffers," Operations Research, INFORMS, vol. 31(2), pages 354-380, April.
    3. Sheng Yang & Cheng Wu & S. Hu, 2000. "Modeling and analysis of multi‐stage transfer lines with unreliable machines and finite buffers," Annals of Operations Research, Springer, vol. 93(1), pages 405-421, January.
    4. Stanley B. Gershwin, 1987. "An Efficient Decomposition Method for the Approximate Evaluation of Tandem Queues with Finite Storage Space and Blocking," Operations Research, INFORMS, vol. 35(2), pages 291-305, April.
    5. Altiok, Tayfur & Ranjan, Raghav, 1989. "Analysis of production lines with general service times and finite buffers: A two-node decomposition approach," Engineering Costs and Production Economics, Elsevier, vol. 17(1-4), pages 155-165, August.
    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. Manzini, Massimo & Unglert, Johannes & Gyulai, Dávid & Colledani, Marcello & Jauregui-Becker, Juan Manuel & Monostori, László & Urgo, Marcello, 2018. "An integrated framework for design, management and operation of reconfigurable assembly systems," Omega, Elsevier, vol. 78(C), pages 69-84.
    2. 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.

    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. Suliman, S. M. A., 2000. "A mathematical model for a buffered two-stage manufacturing cell with an unreliable transfer device," International Journal of Production Economics, Elsevier, vol. 63(1), pages 69-81, January.
    3. Shi, Chuan & Gershwin, Stanley B., 2009. "An efficient buffer design algorithm for production line profit maximization," International Journal of Production Economics, Elsevier, vol. 122(2), pages 725-740, December.
    4. Michael Manitz, 2015. "Analysis of assembly/disassembly queueing networks with blocking after service and general service times," Annals of Operations Research, Springer, vol. 226(1), pages 417-441, March.
    5. Zhang, Yongjin & Zhao, Ming & Zhang, Yanjun & Pan, Ruilin & Cai, Jing, 2020. "Dynamic and steady-state performance analysis for multi-state repairable reconfigurable manufacturing systems with buffers," European Journal of Operational Research, Elsevier, vol. 283(2), pages 491-510.
    6. Sachs, F.E. & Helber, S. & Kiesmüller, G.P., 2022. "Evaluation of Unreliable Flow Lines with Limited Buffer Capacities and Spare Part Provisioning," European Journal of Operational Research, Elsevier, vol. 302(2), pages 544-559.
    7. Upset Robert & P.Van Til Robert & Sengupta Sankar, 1998. "Development of a model for a two-station serial transfer line subject to machine and buffer failure," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 4(3), pages 231-246, January.
    8. Elisa Gebennini & Andrea Grassi & Cesare Fantuzzi & Stanley Gershwin & Irvin Schick, 2013. "Discrete time model for two-machine one-buffer transfer lines with restart policy," Annals of Operations Research, Springer, vol. 209(1), pages 41-65, October.
    9. Helber, Stefan, 1998. "Decomposition of unreliable assembly/disassembly networks with limited buffer capacity and random processing times," European Journal of Operational Research, Elsevier, vol. 109(1), pages 24-42, August.
    10. Chame, Anna & Tsallis, Constantino, 1990. "Criticality of the discrete N-vector ferromagnet in a cubic lattice with a free surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 165(1), pages 41-63.
    11. Eva K. Lee & Siddhartha Maheshwary & Jacquelyn Mason & William Glisson, 2006. "Large-Scale Dispensing for Emergency Response to Bioterrorism and Infectious-Disease Outbreak," Interfaces, INFORMS, vol. 36(6), pages 591-607, December.
    12. S. Göttlich & S. Kühn & J. A. Schwarz & R. Stolletz, 2016. "Approximations of time-dependent unreliable flow lines with finite buffers," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 83(3), pages 295-323, June.
    13. Konstantinos S. Boulas & Georgios D. Dounias & Chrissoleon T. Papadopoulos, 2023. "A hybrid evolutionary algorithm approach for estimating the throughput of short reliable approximately balanced production lines," Journal of Intelligent Manufacturing, Springer, vol. 34(2), pages 823-852, February.
    14. 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.
    15. Colledani, Marcello & Tolio, Tullio, 2009. "Performance evaluation of production systems monitored by statistical process control and off-line inspections," International Journal of Production Economics, Elsevier, vol. 120(2), pages 348-367, August.
    16. Peter C. Bell & Chris K. Anderson, 2002. "In Search of Strategic Operations Research/Management Science," Interfaces, INFORMS, vol. 32(2), pages 28-40, April.
    17. Mehmet Savsar, 2016. "Reliability and availability analysis of a manufacturing line system," Journal of Applied and Physical Sciences, Prof. Vakhrushev Alexander, vol. 2(3), pages 96-106.
    18. Widom, B. & Clarke, A.S., 1990. "Line tension at the wetting transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 149-159.
    19. Ziwei Lin & Nicla Frigerio & Andrea Matta & Shichang Du, 2021. "Multi-fidelity surrogate-based optimization for decomposed buffer allocation problems," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(1), pages 223-253, March.
    20. Gürkan, G. & Ozge, A.Y., 1996. "Sample-Path Optimization of Buffer Allocations in a Tandem Queue - Part I : Theoretical Issues," Other publications TiSEM 77da022b-635b-46fd-bf4a-f, Tilburg University, School of Economics and Management.

    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:spr:annopr:v:182:y:2011:i:1:p:31-65:10.1007/s10479-009-0595-3. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.