IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v113y2008i2p1038-1048.html
   My bibliography  Save this article

A two-stage multiple-machine assembly scheduling problem for minimizing sum of completion times

Author

Listed:
  • Sung, C.S.
  • Kim, Hyun Ah

Abstract

This paper considers a two-stage multiple-machine assembly scheduling problem for minimizing the sum of completion times. The first stage consists of two independent machines, each of which produces its own type of components. The second stage consists of two identical and independent parallel machines. The processing of the second stage cannot begin until the processing of the first stage is finished. Minimizing the sum of completion times at the second stage is considered as the scheduling measure. A lower bound based on the SPT rule is derived, which is then used to develop a branch-and-bound algorithm. An efficient simple heuristic algorithm is also developed.

Suggested Citation

  • Sung, C.S. & Kim, Hyun Ah, 2008. "A two-stage multiple-machine assembly scheduling problem for minimizing sum of completion times," International Journal of Production Economics, Elsevier, vol. 113(2), pages 1038-1048, June.
    • Handle: RePEc:eee:proeco:v:113:y:2008:i:2:p:1038-1048
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925-5273(08)00005-4
    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. Ho, Johnny C., 1995. "Flowshop sequencing with mean flowtime objective," European Journal of Operational Research, Elsevier, vol. 81(3), pages 571-578, March.
    2. Chang Sup Sung & Sang Hum Yoon, 1998. "Minimizing total weighted completion time at a pre-assembly stage composed of two feeding machines," International Journal of Production Economics, Elsevier, vol. 54(3), pages 247-255, May.
    3. Teofilo Gonzalez & Sartaj Sahni, 1978. "Flowshop and Jobshop Schedules: Complexity and Approximation," Operations Research, INFORMS, vol. 26(1), pages 36-52, February.
    4. Allahverdi, Ali & Aldowaisan, Tariq, 2002. "New heuristics to minimize total completion time in m-machine flowshops," International Journal of Production Economics, Elsevier, vol. 77(1), pages 71-83, May.
    5. Chung-Yee Lee & T. C. E. Cheng & B. M. T. Lin, 1993. "Minimizing the Makespan in the 3-Machine Assembly-Type Flowshop Scheduling Problem," Management Science, INFORMS, vol. 39(5), pages 616-625, May.
    6. C. N. Potts & S. V. Sevast'janov & V. A. Strusevich & L. N. Van Wassenhove & C. M. Zwaneveld, 1995. "The Two-Stage Assembly Scheduling Problem: Complexity and Approximation," Operations Research, INFORMS, vol. 43(2), pages 346-355, April.
    7. Sun, Xi & Morizawa, Kazuko & Nagasawa, Hiroyuki, 2003. "Powerful heuristics to minimize makespan in fixed, 3-machine, assembly-type flowshop scheduling," European Journal of Operational Research, Elsevier, vol. 146(3), pages 498-516, May.
    8. J.N.D. Gupta & A.M.A. Hariri & C.N. Potts, 1997. "Scheduling a two-stage hybrid flow shop with parallel machines at the first stage," Annals of Operations Research, Springer, vol. 69(0), pages 171-191, January.
    9. Nawaz, Muhammad & Enscore Jr, E Emory & Ham, Inyong, 1983. "A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem," Omega, Elsevier, vol. 11(1), pages 91-95.
    10. Sriskandarajah, C. & Sethi, S. P., 1989. "Scheduling algorithms for flexible flowshops: Worst and average case performance," European Journal of Operational Research, Elsevier, vol. 43(2), pages 143-160, November.
    11. Herbert G. Campbell & Richard A. Dudek & Milton L. Smith, 1970. "A Heuristic Algorithm for the n Job, m Machine Sequencing Problem," Management Science, INFORMS, vol. 16(10), pages 630-637, June.
    12. Yoon, Sang Hum & Sung, Chang Sup, 2005. "Fixed pre-assembly scheduling on multiple fabrication machines," International Journal of Production Economics, Elsevier, vol. 96(1), pages 109-118, April.
    13. Yokoyama, Masao & Santos, Daryl L., 2005. "Three-stage flow-shop scheduling with assembly operations to minimize the weighted sum of product completion times," European Journal of Operational Research, Elsevier, vol. 161(3), pages 754-770, March.
    14. Rajendran, Chandrasekharan & Ziegler, Hans, 1997. "An efficient heuristic for scheduling in a flowshop to minimize total weighted flowtime of jobs," European Journal of Operational Research, Elsevier, vol. 103(1), pages 129-138, November.
    15. Riane, Fouad & Artiba, Abdelhakim & E. Elmaghraby, Salah, 1998. "A hybrid three-stage flowshop problem: Efficient heuristics to minimize makespan," European Journal of Operational Research, Elsevier, vol. 109(2), pages 321-329, September.
    16. Hariri, A. M. A. & Potts, C. N., 1997. "A branch and bound algorithm for the two-stage assembly scheduling problem," European Journal of Operational Research, Elsevier, vol. 103(3), pages 547-556, December.
    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. Zikai Zhang & Qiuhua Tang, 2022. "Integrating preventive maintenance to two-stage assembly flow shop scheduling: MILP model, constructive heuristics and meta-heuristics," Flexible Services and Manufacturing Journal, Springer, vol. 34(1), pages 156-203, March.
    2. Fernandez-Viagas, Victor & Talens, Carla & Framinan, Jose M., 2022. "Assembly flowshop scheduling problem: Speed-up procedure and computational evaluation," European Journal of Operational Research, Elsevier, vol. 299(3), pages 869-882.
    3. Ruiz, Rubén & Vázquez-Rodríguez, José Antonio, 2010. "The hybrid flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 205(1), pages 1-18, August.
    4. Framinan, Jose M. & Perez-Gonzalez, Paz & Fernandez-Viagas, Victor, 2019. "Deterministic assembly scheduling problems: A review and classification of concurrent-type scheduling models and solution procedures," European Journal of Operational Research, Elsevier, vol. 273(2), pages 401-417.
    5. Lee, Wen-Chiung & Shiau, Yau-Ren & Chen, Shiuan-Kang & Wu, Chin-Chia, 2010. "A two-machine flowshop scheduling problem with deteriorating jobs and blocking," International Journal of Production Economics, Elsevier, vol. 124(1), pages 188-197, March.
    6. 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.
    7. Sung, Chang Sup & Juhn, Jaeho, 2009. "Makespan minimization for a 2-stage assembly scheduling problem subject to component available time constraint," International Journal of Production Economics, Elsevier, vol. 119(2), pages 392-401, June.

    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. Framinan, Jose M. & Perez-Gonzalez, Paz & Fernandez-Viagas, Victor, 2019. "Deterministic assembly scheduling problems: A review and classification of concurrent-type scheduling models and solution procedures," European Journal of Operational Research, Elsevier, vol. 273(2), pages 401-417.
    2. Fernandez-Viagas, Victor & Talens, Carla & Framinan, Jose M., 2022. "Assembly flowshop scheduling problem: Speed-up procedure and computational evaluation," European Journal of Operational Research, Elsevier, vol. 299(3), pages 869-882.
    3. Tseng, Lin-Yu & Lin, Ya-Tai, 2009. "A hybrid genetic local search algorithm for the permutation flowshop scheduling problem," European Journal of Operational Research, Elsevier, vol. 198(1), pages 84-92, October.
    4. Framinan, J. M. & Leisten, R., 2003. "An efficient constructive heuristic for flowtime minimisation in permutation flow shops," Omega, Elsevier, vol. 31(4), pages 311-317, August.
    5. M S Nagano & J V Moccellin, 2008. "Reducing mean flow time in permutation flow shop," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(7), pages 939-945, July.
    6. Tasgetiren, M. Fatih & Liang, Yun-Chia & Sevkli, Mehmet & Gencyilmaz, Gunes, 2007. "A particle swarm optimization algorithm for makespan and total flowtime minimization in the permutation flowshop sequencing problem," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1930-1947, March.
    7. Ruiz, Ruben & Maroto, Concepcion, 2006. "A genetic algorithm for hybrid flowshops with sequence dependent setup times and machine eligibility," European Journal of Operational Research, Elsevier, vol. 169(3), pages 781-800, March.
    8. Niloy J. Mukherjee & Subhash C. Sarin & Daniel A. Neira, 2023. "Lot streaming for a two-stage assembly system in the presence of handling costs," Journal of Scheduling, Springer, vol. 26(4), pages 335-351, August.
    9. Li, Xiaoping & Wang, Qian & Wu, Cheng, 2009. "Efficient composite heuristics for total flowtime minimization in permutation flow shops," Omega, Elsevier, vol. 37(1), pages 155-164, February.
    10. Sung, Chang Sup & Juhn, Jaeho, 2009. "Makespan minimization for a 2-stage assembly scheduling problem subject to component available time constraint," International Journal of Production Economics, Elsevier, vol. 119(2), pages 392-401, June.
    11. Koulamas, Christos & Kyparisis, George J., 2007. "A note on the two-stage assembly flow shop scheduling problem with uniform parallel machines," European Journal of Operational Research, Elsevier, vol. 182(2), pages 945-951, October.
    12. Rajendran, Chandrasekharan & Ziegler, Hans, 2001. "A performance analysis of dispatching rules and a heuristic in static flowshops with missing operations of jobs," European Journal of Operational Research, Elsevier, vol. 131(3), pages 622-634, June.
    13. Hatami, Sara & Ruiz, Rubén & Andrés-Romano, Carlos, 2015. "Heuristics and metaheuristics for the distributed assembly permutation flowshop scheduling problem with sequence dependent setup times," International Journal of Production Economics, Elsevier, vol. 169(C), pages 76-88.
    14. Rajendran, Chandrasekharan & Ziegler, Hans, 2004. "Ant-colony algorithms for permutation flowshop scheduling to minimize makespan/total flowtime of jobs," European Journal of Operational Research, Elsevier, vol. 155(2), pages 426-438, June.
    15. Gajpal, Yuvraj & Rajendran, Chandrasekharan, 2006. "An ant-colony optimization algorithm for minimizing the completion-time variance of jobs in flowshops," International Journal of Production Economics, Elsevier, vol. 101(2), pages 259-272, June.
    16. Sun, Xi & Morizawa, Kazuko & Nagasawa, Hiroyuki, 2003. "Powerful heuristics to minimize makespan in fixed, 3-machine, assembly-type flowshop scheduling," European Journal of Operational Research, Elsevier, vol. 146(3), pages 498-516, May.
    17. Yoon, Sang Hum & Sung, Chang Sup, 2005. "Fixed pre-assembly scheduling on multiple fabrication machines," International Journal of Production Economics, Elsevier, vol. 96(1), pages 109-118, April.
    18. Al-Anzi, Fawaz S. & Allahverdi, Ali, 2007. "A self-adaptive differential evolution heuristic for two-stage assembly scheduling problem to minimize maximum lateness with setup times," European Journal of Operational Research, Elsevier, vol. 182(1), pages 80-94, October.
    19. K Sheibani, 2010. "A fuzzy greedy heuristic for permutation flow-shop scheduling," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(5), pages 813-818, May.
    20. Allahverdi, Ali & Aldowaisan, Tariq, 2002. "New heuristics to minimize total completion time in m-machine flowshops," International Journal of Production Economics, Elsevier, vol. 77(1), pages 71-83, May.

    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:proeco:v:113:y:2008:i:2:p:1038-1048. 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/ijpe .

    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.