IDEAS home Printed from https://ideas.repec.org/a/spr/flsman/v34y2022i4d10.1007_s10696-021-09439-2.html
   My bibliography  Save this article

Sparse flexible design: a machine learning approach

Author

Listed:
  • Timothy C. Y. Chan

    (University of Toronto)

  • Daniel Letourneau

    (Princess Margaret Cancer Centre)

  • Benjamin G. Potter

    (University of Toronto)

Abstract

For a general production network, state-of-the-art methods for constructing sparse flexible designs are heuristic in nature, typically computing a proxy for the quality of unseen networks and using that estimate in a greedy manner to modify a current design. This paper develops two machine learning-based approaches to constructing sparse flexible designs that leverage a neural network to accurately and quickly predict the performance of large numbers of candidate designs. We demonstrate that our heuristics are competitive with existing approaches and produce high-quality solutions for both balanced and unbalanced networks. Finally, we introduce a novel application of process flexibility in healthcare operations to demonstrate the effectiveness of our approach in a large numerical case study. We study the flexibility of linear accelerators that deliver radiation to treat various types of cancer. We demonstrate how clinical constraints can be easily absorbed into the machine learning subroutine and how our sparse flexible treatment networks meet or beat the performance of those designed by state-of-the-art methods.

Suggested Citation

  • Timothy C. Y. Chan & Daniel Letourneau & Benjamin G. Potter, 2022. "Sparse flexible design: a machine learning approach," Flexible Services and Manufacturing Journal, Springer, vol. 34(4), pages 1066-1116, December.
  • Handle: RePEc:spr:flsman:v:34:y:2022:i:4:d:10.1007_s10696-021-09439-2
    DOI: 10.1007/s10696-021-09439-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10696-021-09439-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10696-021-09439-2?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. Antoine Désir & Vineet Goyal & Yehua Wei & Jiawei Zhang, 2016. "Sparse Process Flexibility Designs: Is the Long Chain Really Optimal?," Operations Research, INFORMS, vol. 64(2), pages 416-431, April.
    2. Wancheng Feng & Chen Wang & Zuo-Jun Max Shen, 2017. "Process flexibility design in heterogeneous and unbalanced networks: A stochastic programming approach," IISE Transactions, Taylor & Francis Journals, vol. 49(8), pages 781-799, August.
    3. Hummy Song & Anita L. Tucker & Ryan Graue & Sarah Moravick & Julius J. Yang, 2020. "Capacity Pooling in Hospitals: The Hidden Consequences of Off-Service Placement," Management Science, INFORMS, vol. 66(9), pages 3825-3842, September.
    4. Timothy C. Y. Chan & Douglas Fearing, 2019. "Process Flexibility in Baseball: The Value of Positional Flexibility," Management Science, INFORMS, vol. 65(4), pages 1642-1666, April.
    5. William C. Jordan & Stephen C. Graves, 1995. "Principles on the Benefits of Manufacturing Process Flexibility," Management Science, INFORMS, vol. 41(4), pages 577-594, April.
    6. Kate A. Smith, 1999. "Neural Networks for Combinatorial Optimization: A Review of More Than a Decade of Research," INFORMS Journal on Computing, INFORMS, vol. 11(1), pages 15-34, February.
    7. Tianhu Deng & Zuo-Jun Max Shen, 2013. "Process Flexibility Design in Unbalanced Networks," Manufacturing & Service Operations Management, INFORMS, vol. 15(1), pages 24-32, April.
    8. Mabel C. Chou & Geoffrey A. Chua & Chung-Piaw Teo & Huan Zheng, 2010. "Design for Process Flexibility: Efficiency of the Long Chain and Sparse Structure," Operations Research, INFORMS, vol. 58(1), pages 43-58, February.
    9. Rodney B. Wallace & Ward Whitt, 2005. "A Staffing Algorithm for Call Centers with Skill-Based Routing," Manufacturing & Service Operations Management, INFORMS, vol. 7(4), pages 276-294, August.
    10. David Simchi-Levi & Yehua Wei, 2015. "Worst-Case Analysis of Process Flexibility Designs," Operations Research, INFORMS, vol. 63(1), pages 166-185, February.
    11. Stephen C. Graves & Brian T. Tomlin, 2003. "Process Flexibility in Supply Chains," Management Science, INFORMS, vol. 49(7), pages 907-919, July.
    12. Paul Joustra & Erik Sluis & Nico Dijk, 2010. "To pool or not to pool in hospitals: a theoretical and practical comparison for a radiotherapy outpatient department," Annals of Operations Research, Springer, vol. 178(1), pages 77-89, July.
    13. Xi Chen & Tengyu Ma & Jiawei Zhang & Yuan Zhou, 2019. "Optimal Design of Process Flexibility for General Production Systems," Operations Research, INFORMS, vol. 67(2), pages 516-531, March.
    14. Chou, Mabel C. & Chua, Geoffrey A. & Teo, Chung-Piaw, 2010. "On range and response: Dimensions of process flexibility," European Journal of Operational Research, Elsevier, vol. 207(2), pages 711-724, December.
    15. Zhenzhen Yan & Sarah Yini Gao & Chung Piaw Teo, 2018. "On the Design of Sparse but Efficient Structures in Operations," Management Science, INFORMS, vol. 64(7), pages 3421-3445, July.
    16. Mabel C. Chou & Geoffrey A. Chua & Chung-Piaw Teo & Huan Zheng, 2011. "Process Flexibility Revisited: The Graph Expander and Its Applications," Operations Research, INFORMS, vol. 59(5), pages 1090-1105, October.
    17. Seyed M. Iravani & Mark P. Van Oyen & Katharine T. Sims, 2005. "Structural Flexibility: A New Perspective on the Design of Manufacturing and Service Operations," Management Science, INFORMS, vol. 51(2), pages 151-166, February.
    18. Cavalcante, Ian M. & Frazzon, Enzo M. & Forcellini, Fernando A. & Ivanov, Dmitry, 2019. "A supervised machine learning approach to data-driven simulation of resilient supplier selection in digital manufacturing," International Journal of Information Management, Elsevier, vol. 49(C), pages 86-97.
    19. Wallace J. Hopp & Eylem Tekin & Mark P. Van Oyen, 2004. "Benefits of Skill Chaining in Serial Production Lines with Cross-Trained Workers," Management Science, INFORMS, vol. 50(1), pages 83-98, January.
    20. Xuan Wang & Jiawei Zhang, 2015. "Process Flexibility: A Distribution-Free Bound on the Performance of k -Chain," Operations Research, INFORMS, vol. 63(3), pages 555-571, June.
    21. Achal Bassamboo & Ramandeep S. Randhawa & Jan A. Van Mieghem, 2012. "A Little Flexibility Is All You Need: On the Asymptotic Value of Flexible Capacity in Parallel Queuing Systems," Operations Research, INFORMS, vol. 60(6), pages 1423-1435, December.
    22. Simchi-Levi, David, 2010. "Operation Rules: Delivering Customer Value through Flexible Operations," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262525151, December.
    23. David Simchi-Levi & Yehua Wei, 2012. "Understanding the Performance of the Long Chain and Sparse Designs in Process Flexibility," Operations Research, INFORMS, vol. 60(5), pages 1125-1141, October.
    24. Sauré, Antoine & Patrick, Jonathan & Tyldesley, Scott & Puterman, Martin L., 2012. "Dynamic multi-appointment patient scheduling for radiation therapy," European Journal of Operational Research, Elsevier, vol. 223(2), pages 573-584.
    25. Suri Gurumurthi & Saif Benjaafar, 2004. "Modeling and analysis of flexible queueing systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(5), pages 755-782, August.
    26. Antoine Legrain & Marie-Andrée Fortin & Nadia Lahrichi & Louis-Martin Rousseau, 2015. "Online stochastic optimization of radiotherapy patient scheduling," Health Care Management Science, Springer, vol. 18(2), pages 110-123, June.
    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. Vincent Augusto & Nadia Lahrichi & Ettore Lanzarone & Taesik Lee & Jie Song, 2022. "Analytics and Optimization in Healthcare Management," Flexible Services and Manufacturing Journal, Springer, vol. 34(4), pages 821-823, December.

    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. Timothy C. Y. Chan & Douglas Fearing, 2019. "Process Flexibility in Baseball: The Value of Positional Flexibility," Management Science, INFORMS, vol. 65(4), pages 1642-1666, April.
    2. Zhen Xu & Hailun Zhang & Jiheng Zhang & Rachel Q. Zhang, 2020. "Online Demand Fulfillment Under Limited Flexibility," Management Science, INFORMS, vol. 66(10), pages 4667-4685, October.
    3. Cong Shi & Yehua Wei & Yuan Zhong, 2019. "Process Flexibility for Multiperiod Production Systems," Operations Research, INFORMS, vol. 67(5), pages 1300-1320, September.
    4. Xi Chen & Jiawei Zhang & Yuan Zhou, 2015. "Optimal Sparse Designs for Process Flexibility via Probabilistic Expanders," Operations Research, INFORMS, vol. 63(5), pages 1159-1176, October.
    5. Antoine Désir & Vineet Goyal & Yehua Wei & Jiawei Zhang, 2016. "Sparse Process Flexibility Designs: Is the Long Chain Really Optimal?," Operations Research, INFORMS, vol. 64(2), pages 416-431, April.
    6. Shixin Wang & Xuan Wang & Jiawei Zhang, 2021. "A Review of Flexible Processes and Operations," Production and Operations Management, Production and Operations Management Society, vol. 30(6), pages 1804-1824, June.
    7. Rujeerapaiboon, Napat & Zhong, Yuanguang & Zhu, Dan, 2023. "Resilience of long chain under disruption," European Journal of Operational Research, Elsevier, vol. 309(2), pages 597-615.
    8. Mabel C. Chou & Geoffrey A. Chua & Huan Zheng, 2014. "On the Performance of Sparse Process Structures in Partial Postponement Production Systems," Operations Research, INFORMS, vol. 62(2), pages 348-365, April.
    9. Perraudat, Antoine & Dauzère-Pérès, Stéphane & Vialletelle, Philippe, 2022. "Robust tactical qualification decisions in flexible manufacturing systems," Omega, Elsevier, vol. 106(C).
    10. Jingui Xie & Yiming Fan & Mabel C. Chou, 2017. "Flexibility design in loss and queueing systems: efficiency of k-chain configuration," Flexible Services and Manufacturing Journal, Springer, vol. 29(2), pages 286-308, June.
    11. Xuan Wang & Jiawei Zhang, 2015. "Process Flexibility: A Distribution-Free Bound on the Performance of k -Chain," Operations Research, INFORMS, vol. 63(3), pages 555-571, June.
    12. Arash Asadpour & Xuan Wang & Jiawei Zhang, 2020. "Online Resource Allocation with Limited Flexibility," Management Science, INFORMS, vol. 66(2), pages 642-666, February.
    13. Zhenzhen Yan & Sarah Yini Gao & Chung Piaw Teo, 2018. "On the Design of Sparse but Efficient Structures in Operations," Management Science, INFORMS, vol. 64(7), pages 3421-3445, July.
    14. David Simchi-Levi & Yehua Wei, 2015. "Worst-Case Analysis of Process Flexibility Designs," Operations Research, INFORMS, vol. 63(1), pages 166-185, February.
    15. David Simchi-Levi & Yehua Wei, 2012. "Understanding the Performance of the Long Chain and Sparse Designs in Process Flexibility," Operations Research, INFORMS, vol. 60(5), pages 1125-1141, October.
    16. Dipankar Bose & A. K. Chatterjee & Samir Barman, 2016. "Towards dominant flexibility configurations in strategic capacity planning under demand uncertainty," OPSEARCH, Springer;Operational Research Society of India, vol. 53(3), pages 604-619, September.
    17. Xi Chen & Tengyu Ma & Jiawei Zhang & Yuan Zhou, 2019. "Optimal Design of Process Flexibility for General Production Systems," Operations Research, INFORMS, vol. 67(2), pages 516-531, March.
    18. Chua, Geoffrey A. & Chen, Shaoxiang & Han, Zhiguang, 2016. "Hub and Chain: Process Flexibility Design in Non-Identical Systems Using Variance Information," European Journal of Operational Research, Elsevier, vol. 253(3), pages 625-638.
    19. Guodong Lyu & Wang-Chi Cheung & Mabel C. Chou & Chung-Piaw Teo & Zhichao Zheng & Yuanguang Zhong, 2019. "Capacity Allocation in Flexible Production Networks: Theory and Applications," Management Science, INFORMS, vol. 65(11), pages 5091-5109, November.
    20. John N. Tsitsiklis & Kuang Xu, 2017. "Flexible Queueing Architectures," Operations Research, INFORMS, vol. 65(5), pages 1398-1413, October.

    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:flsman:v:34:y:2022:i:4:d:10.1007_s10696-021-09439-2. 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.