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A branch-and-bound algorithm for a two-machine flowshop scheduling problem with limited waiting time constraints

Author

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  • B-J Joo

    (Korea Advanced Institute of Science and Technology)

  • Y-D Kim

    (Korea Advanced Institute of Science and Technology)

Abstract

In this paper, we consider a two-machine flowshop scheduling problem in which the waiting time of each job between the two machines cannot be greater than a certain time period. For the problem with the objective of minimizing makespan, we identify several dominance properties of the problem and develop a branch-and-bound (B&B) algorithm using the dominance properties. Computational tests are performed on randomly generated test problems for evaluation of performance of the B&B algorithm, and results show that the algorithm can solve problems with up to 150 jobs in a reasonable amount of CPU time.

Suggested Citation

  • B-J Joo & Y-D Kim, 2009. "A branch-and-bound algorithm for a two-machine flowshop scheduling problem with limited waiting time constraints," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(4), pages 572-582, April.
    • Handle: RePEc:pal:jorsoc:v:60:y:2009:i:4:d:10.1057_palgrave.jors.2602598
    DOI: 10.1057/palgrave.jors.2602598
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    References listed on IDEAS

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    1. Kim, Yeong-Dae & Lim, Hyeong-Gyu & Park, Moon-Won, 1996. "Search heuristics for a flowshop scheduling problem in a printed circuit board assembly process," European Journal of Operational Research, Elsevier, vol. 91(1), pages 124-143, May.
    2. Kim, Yeong-Dae, 1995. "Minimizing total tardiness in permutation flowshops," European Journal of Operational Research, Elsevier, vol. 85(3), pages 541-555, September.
    3. B. J. Lageweg & J. K. Lenstra & A. H. G. Rinnooy Kan, 1978. "A General Bounding Scheme for the Permutation Flow-Shop Problem," Operations Research, INFORMS, vol. 26(1), pages 53-67, February.
    4. Edward Ignall & Linus Schrage, 1965. "Application of the Branch and Bound Technique to Some Flow-Shop Scheduling Problems," Operations Research, INFORMS, vol. 13(3), pages 400-412, June.
    5. Gupta, Jatinder N.D. & Stafford, Edward Jr., 2006. "Flowshop scheduling research after five decades," European Journal of Operational Research, Elsevier, vol. 169(3), pages 699-711, March.
    6. 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.
    7. J M Framinan & J N D Gupta & R Leisten, 2004. "A review and classification of heuristics for permutation flow-shop scheduling with makespan objective," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(12), pages 1243-1255, December.
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