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Flowshop Sequencing Problem with Ordered Processing Time Matrices

Author

Listed:
  • M. L. Smith

    (Texas Tech University)

  • S. S. Panwalkar

    (Texas Tech University)

  • R. A. Dudek

    (Texas Tech University)

Abstract

A flowshop sequencing problem having an ordered processing time matrix is defined. Job and machine characteristics resulting in processing time relationships that have logical and practical bases are discussed. An optimizing solution procedure for a special class of ordered matrix problem is presented along with proof of optimality.

Suggested Citation

  • M. L. Smith & S. S. Panwalkar & R. A. Dudek, 1975. "Flowshop Sequencing Problem with Ordered Processing Time Matrices," Management Science, INFORMS, vol. 21(5), pages 544-549, January.
    • Handle: RePEc:inm:ormnsc:v:21:y:1975:i:5:p:544-549
    DOI: 10.1287/mnsc.21.5.544
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    Cited by:

    1. Choi, Byung-Cheon & Lee, Kangbok & Leung, Joseph Y.-T. & Pinedo, Michael L., 2010. "Flow shops with machine maintenance: Ordered and proportionate cases," European Journal of Operational Research, Elsevier, vol. 207(1), pages 97-104, November.
    2. Byung-Cheon Choi & Myoung-Ju Park, 2016. "An Ordered Flow Shop with Two Agents," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-24, October.
    3. Sen, Alper & Topaloglu, Engin & Benli, Omer S., 1998. "Optimal streaming of a single job in a two-stage flow shop," European Journal of Operational Research, Elsevier, vol. 110(1), pages 42-62, October.
    4. Koulamas, Christos & Kyparisis, George J., 2007. "Single-machine and two-machine flowshop scheduling with general learning functions," European Journal of Operational Research, Elsevier, vol. 178(2), pages 402-407, April.
    5. Shi-Sheng Li & De-Liang Qian & Ren-Xia Chen, 2017. "Proportionate Flow Shop Scheduling with Rejection," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(04), pages 1-13, August.
    6. Choi, Byung-Cheon & Chung, Jibok, 2011. "Two-machine flow shop scheduling problem with an outsourcing option," European Journal of Operational Research, Elsevier, vol. 213(1), pages 66-72, August.
    7. Lee, Kangbok & Zheng, Feifeng & Pinedo, Michael L., 2019. "Online scheduling of ordered flow shops," European Journal of Operational Research, Elsevier, vol. 272(1), pages 50-60.
    8. Koulamas, Christos, 1998. "On the complexity of two-machine flowshop problems with due date related objectives," European Journal of Operational Research, Elsevier, vol. 106(1), pages 95-100, April.
    9. Yu, Tae-Sun & Pinedo, Michael, 2020. "Flow shops with reentry: Reversibility properties and makespan optimal schedules," European Journal of Operational Research, Elsevier, vol. 282(2), pages 478-490.
    10. S.S. Panwalkar & Christos Koulamas, 2015. "Proportionate flow shop: New complexity results and models with due date assignment," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(2), pages 98-106, March.
    11. S. S. Panwalkar & Christos Koulamas, 2019. "The evolution of schematic representations of flow shop scheduling problems," Journal of Scheduling, Springer, vol. 22(4), pages 379-391, August.
    12. Mitra, Manipushpak, 2005. "Incomplete information and multiple machine queueing problems," European Journal of Operational Research, Elsevier, vol. 165(1), pages 251-266, August.
    13. Guinet, Alain & Legrand, Marie, 1998. "Reduction of job-shop problems to flow-shop problems with precedence constraints," European Journal of Operational Research, Elsevier, vol. 109(1), pages 96-110, August.
    14. Myoung-Ju Park & Byung-Cheon Choi & Yunhong Min & Kyung Min Kim, 2020. "Two-Machine Ordered Flow Shop Scheduling with Generalized Due Dates," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 37(01), pages 1-16, January.
    15. Panwalkar, S.S. & Koulamas, Christos, 2012. "An O(n2) algorithm for the variable common due date, minimal tardy jobs bicriteria two-machine flow shop problem with ordered machines," European Journal of Operational Research, Elsevier, vol. 221(1), pages 7-13.
    16. Koulamas, Christos & Kyparisis, George J., 2009. "A note on the proportionate flow shop with a bottleneck machine," European Journal of Operational Research, Elsevier, vol. 193(2), pages 644-645, March.
    17. Gupta, Jatinder N. D. & Neppalli, Venkata R. & Werner, Frank, 2001. "Minimizing total flow time in a two-machine flowshop problem with minimum makespan," International Journal of Production Economics, Elsevier, vol. 69(3), pages 323-338, February.
    18. Chung, Dae-Young & Choi, Byung-Cheon, 2013. "Outsourcing and scheduling for two-machine ordered flow shop scheduling problems," European Journal of Operational Research, Elsevier, vol. 226(1), pages 46-52.
    19. S.S. Panwalkar & Milton L. Smith & Christos Koulamas, 2013. "Review of the ordered and proportionate flow shop scheduling research," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(1), pages 46-55, February.
    20. Byung-Cheon Choi & Joseph Y.-T. Leung & Michael L. Pinedo, 2011. "Minimizing makespan in an ordered flow shop with machine-dependent processing times," Journal of Combinatorial Optimization, Springer, vol. 22(4), pages 797-818, November.
    21. Xiao, Yiyong & Yuan, Yingying & Zhang, Ren-Qian & Konak, Abdullah, 2015. "Non-permutation flow shop scheduling with order acceptance and weighted tardiness," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 312-333.
    22. Della Croce, Federico & Gupta, Jatinder N. D. & Tadei, Roberto, 2000. "Minimizing tardy jobs in a flowshop with common due date," European Journal of Operational Research, Elsevier, vol. 120(2), pages 375-381, January.
    23. Choi, Byung-Cheon & Yoon, Suk-Hun & Chung, Sung-Jin, 2007. "Minimizing maximum completion time in a proportionate flow shop with one machine of different speed," European Journal of Operational Research, Elsevier, vol. 176(2), pages 964-974, January.

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