IDEAS home Printed from https://ideas.repec.org/a/spr/jsched/v19y2016i2d10.1007_s10951-015-0448-7.html
   My bibliography  Save this article

Optimal K-unit cycle scheduling of two-cluster tools with residency constraints and general robot moving times

Author

Listed:
  • Xin Li

    (City University of Hong Kong)

  • Richard Y. K. Fung

    (City University of Hong Kong)

Abstract

The semiconductor manufacturing industry is significantly expensive both in equipment and materials. Cluster tools, a type of automated manufacturing system integrating processing modules and transport modules, are commonly used in this industry. Nowadays, multi-cluster tools, which are composed of several cluster tools connected by joint buffer modules, are often used for wafer production. This paper deals with K-unit cycle scheduling problems in single-armed two-cluster tools for processing identical wafers in deterministic settings. In a K-unit cycle, K wafers are exactly inserted into the two-cluster tool, and K completed wafers leave the two-cluster tool, usually not the same K wafers. Residency constraints and general moving times by the robot are both considered. The objective is to obtain optimal K-unit cycle schedules, which minimize cycle times. To analyze this scheduling problem in detail, a mixed integer linear programming (MILP) model is formulated and solved. Numerical examples are used to explain how the solution can be obtained from the MILP model in a K-unit cycle.

Suggested Citation

  • Xin Li & Richard Y. K. Fung, 2016. "Optimal K-unit cycle scheduling of two-cluster tools with residency constraints and general robot moving times," Journal of Scheduling, Springer, vol. 19(2), pages 165-176, April.
  • Handle: RePEc:spr:jsched:v:19:y:2016:i:2:d:10.1007_s10951-015-0448-7
    DOI: 10.1007/s10951-015-0448-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10951-015-0448-7
    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/s10951-015-0448-7?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. Hichem Kamoun & Nicholas G. Hall & Chelliah Sriskandarajah, 1999. "Scheduling in Robotic Cells: Heuristics and Cell Design," Operations Research, INFORMS, vol. 47(6), pages 821-835, December.
    2. Kats, Vladimir & Levner, Eugene, 2011. "A faster algorithm for 2-cyclic robotic scheduling with a fixed robot route and interval processing times," European Journal of Operational Research, Elsevier, vol. 209(1), pages 51-56, February.
    3. Armstrong, Ronald & Lei, Lei & Gu, Shanhong, 1994. "A bounding scheme for deriving the minimal cycle time of a single-transporter N-stage process with time-window constraints," European Journal of Operational Research, Elsevier, vol. 78(1), pages 130-140, October.
    4. Carlier, Jacques & Haouari, Mohamed & Kharbeche, Mohamed & Moukrim, Aziz, 2010. "An optimization-based heuristic for the robotic cell problem," European Journal of Operational Research, Elsevier, vol. 202(3), pages 636-645, May.
    5. Neil Geismar & U. Manoj & Avanthi Sethi & Chelliah Sriskandarajah, 2012. "Scheduling robotic cells served by a dual-arm robot," IISE Transactions, Taylor & Francis Journals, vol. 44(3), pages 230-248.
    6. Neil Geismar, H. & Dawande, Milind & Sriskandarajah, Chelliah, 2005. "Approximation algorithms for k-unit cyclic solutions in robotic cells," European Journal of Operational Research, Elsevier, vol. 162(2), pages 291-309, April.
    7. Janny M. Y. Leung & Guoqing Zhang & Xiaoguang Yang & Raymond Mak & Kokin Lam, 2004. "Optimal Cyclic Multi-Hoist Scheduling: A Mixed Integer Programming Approach," Operations Research, INFORMS, vol. 52(6), pages 965-976, December.
    8. Zhili Zhou & Ling Li, 2009. "A solution for cyclic scheduling of multi-hoists without overlapping," Annals of Operations Research, Springer, vol. 168(1), pages 5-21, April.
    9. Milind W. Dawande & H. Neil Geismar & Suresh P. Sethi & Chelliah Sriskandarajah, 2007. "Throughput Optimization in Robotic Cells," International Series in Operations Research and Management Science, Springer, number 978-0-387-70988-8, September.
    10. Milind Dawande & H. Geismar & Michael Pinedo & Chelliah Sriskandarajah, 2010. "Throughput optimization in dual-gripper interval robotic cells," IISE Transactions, Taylor & Francis Journals, vol. 42(1), pages 1-15.
    11. Yves Crama & Joris van de Klundert, 1997. "Cyclic Scheduling of Identical Parts in a Robotic Cell," Operations Research, INFORMS, vol. 45(6), pages 952-965, December.
    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. Drobouchevitch, Inna G. & Neil Geismar, H. & Sriskandarajah, Chelliah, 2010. "Throughput optimization in robotic cells with input and output machine buffers: A comparative study of two key models," European Journal of Operational Research, Elsevier, vol. 206(3), pages 623-633, November.
    2. Che, Ada & Chu, Chengbin, 2009. "Multi-degree cyclic scheduling of a no-wait robotic cell with multiple robots," European Journal of Operational Research, Elsevier, vol. 199(1), pages 77-88, November.
    3. Tharanga Rajapakshe & Milind Dawande & Chelliah Sriskandarajah, 2011. "Quantifying the Impact of Layout on Productivity: An Analysis from Robotic-Cell Manufacturing," Operations Research, INFORMS, vol. 59(2), pages 440-454, April.
    4. Che, Ada & Feng, Jianguang & Chen, Haoxun & Chu, Chengbin, 2015. "Robust optimization for the cyclic hoist scheduling problem," European Journal of Operational Research, Elsevier, vol. 240(3), pages 627-636.
    5. Milind Dawande & Michael Pinedo & Chelliah Sriskandarajah, 2009. "Multiple Part-Type Production in Robotic Cells: Equivalence of Two Real-World Models," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 210-228, February.
    6. Neil Geismar, H. & Dawande, Milind & Sriskandarajah, Chelliah, 2005. "Approximation algorithms for k-unit cyclic solutions in robotic cells," European Journal of Operational Research, Elsevier, vol. 162(2), pages 291-309, April.
    7. Boysen, Nils & Briskorn, Dirk & Meisel, Frank, 2017. "A generalized classification scheme for crane scheduling with interference," European Journal of Operational Research, Elsevier, vol. 258(1), pages 343-357.
    8. Milind Dawande & Chelliah Sriskandarajah & Suresh Sethi, 2002. "On Throughput Maximization in Constant Travel-Time Robotic Cells," Manufacturing & Service Operations Management, INFORMS, vol. 4(4), pages 296-312, August.
    9. Drobouchevitch, Inna G. & Sethi, Suresh P. & Sriskandarajah, Chelliah, 2006. "Scheduling dual gripper robotic cell: One-unit cycles," European Journal of Operational Research, Elsevier, vol. 171(2), pages 598-631, June.
    10. Chelliah Sriskandarajah & Inna Drobouchevitch & Suresh P. Sethi & Ramaswamy Chandrasekaran, 2004. "Scheduling Multiple Parts in a Robotic Cell Served by a Dual-Gripper Robot," Operations Research, INFORMS, vol. 52(1), pages 65-82, February.
    11. Fatemi-Anaraki, Soroush & Tavakkoli-Moghaddam, Reza & Foumani, Mehdi & Vahedi-Nouri, Behdin, 2023. "Scheduling of Multi-Robot Job Shop Systems in Dynamic Environments: Mixed-Integer Linear Programming and Constraint Programming Approaches," Omega, Elsevier, vol. 115(C).
    12. Ada Che & Vladimir Kats & Eugene Levner, 2011. "Cyclic scheduling in robotic flowshops with bounded work‐in‐process levels," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(1), pages 1-16, February.
    13. W Zahrouni & H Kamoun, 2011. "Transforming part-sequencing problems in a robotic cell into a GTSP," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 114-123, January.
    14. Janny M. Y. Leung & Guoqing Zhang & Xiaoguang Yang & Raymond Mak & Kokin Lam, 2004. "Optimal Cyclic Multi-Hoist Scheduling: A Mixed Integer Programming Approach," Operations Research, INFORMS, vol. 52(6), pages 965-976, December.
    15. Che, Ada & Kats, Vladimir & Levner, Eugene, 2017. "An efficient bicriteria algorithm for stable robotic flow shop scheduling," European Journal of Operational Research, Elsevier, vol. 260(3), pages 964-971.
    16. Hyun-Jung Kim & Jun-Ho Lee, 2021. "Cyclic robot scheduling for 3D printer-based flexible assembly systems," Annals of Operations Research, Springer, vol. 298(1), pages 339-359, March.
    17. Hall, Nicholas G. & Kamoun, Hichem & Sriskandarajah, Chelliah, 1998. "Scheduling in robotic cells: Complexity and steady state analysis," European Journal of Operational Research, Elsevier, vol. 109(1), pages 43-65, August.
    18. Brauner, Nadia & Finke, Gerd, 2001. "Optimal moves of the material handling system in a robotic cell," International Journal of Production Economics, Elsevier, vol. 74(1-3), pages 269-277, December.
    19. Dalila B. M. M. Fontes & Seyed Mahdi Homayouni, 2019. "Joint production and transportation scheduling in flexible manufacturing systems," Journal of Global Optimization, Springer, vol. 74(4), pages 879-908, August.
    20. Kats, Vladimir & Lei, Lei & Levner, Eugene, 2008. "Minimizing the cycle time of multiple-product processing networks with a fixed operation sequence, setups, and time-window constraints," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1196-1211, June.

    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:jsched:v:19:y:2016:i:2:d:10.1007_s10951-015-0448-7. 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.