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Job-Shop Scheduling by Implicit Enumeration

Author

Listed:
  • B. J. Lageweg

    (Mathematisch Centrum, Amsterdam)

  • J. K. Lenstra

    (Mathematisch Centrum, Amsterdam)

  • A. H. G. Rinnooy Kan

    (Graduate School of Management, Delft)

Abstract

The classical combinatorial optimization problem of minimizing maximum completion time in a general job-shop has been the subject of extensive research. In this paper we review and extend this work. A general bounding approach is developed which includes all previously presented lower bounds as special cases. The strongest bound obtainable in this way is combined with two enumeration schemes, the relative merits of which are discussed. The results of some computational experiments and a large bibliography are included as well.

Suggested Citation

  • B. J. Lageweg & J. K. Lenstra & A. H. G. Rinnooy Kan, 1977. "Job-Shop Scheduling by Implicit Enumeration," Management Science, INFORMS, vol. 24(4), pages 441-450, December.
    • Handle: RePEc:inm:ormnsc:v:24:y:1977:i:4:p:441-450
    DOI: 10.1287/mnsc.24.4.441
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    Cited by:

    1. Lang, N.A. & Moonen, J.M. & Srour, F.J. & Zuidwijk, R.A., 2008. "Multi Agent Systems in Logistics: A Literature and State-of-the-art Review," ERIM Report Series Research in Management ERS-2008-043-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    2. 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.
    3. Sabuncuoglu, Ihsan & Gurgun, Burckaan, 1996. "A neural network model for scheduling problems," European Journal of Operational Research, Elsevier, vol. 93(2), pages 288-299, September.
    4. Chatterjee A K & Mukherjee, Saral, 2006. "Unified Concept of Bottleneck," IIMA Working Papers WP2006-05-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
    5. Gromicho, J.A.S. & Hoorn, J.J. van & Timmer, G.T., 2009. "Exponentially better than brute force: solving the jobshop scheduling problem optimally by dynamic programming," Serie Research Memoranda 0056, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    6. Goncalves, Jose Fernando & de Magalhaes Mendes, Jorge Jose & Resende, Mauricio G. C., 2005. "A hybrid genetic algorithm for the job shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 167(1), pages 77-95, November.
    7. Hamed Piroozfard & Kuan Yew Wong & Adnan Hassan, 2016. "A Hybrid Genetic Algorithm with a Knowledge-Based Operator for Solving the Job Shop Scheduling Problems," Journal of Optimization, Hindawi, vol. 2016, pages 1-13, April.
    8. Blazewicz, Jacek & Domschke, Wolfgang & Pesch, Erwin, 1996. "The job shop scheduling problem: Conventional and new solution techniques," European Journal of Operational Research, Elsevier, vol. 93(1), pages 1-33, August.
    9. Michael Pinedo & Marcos Singer, 1999. "A shifting bottleneck heuristic for minimizing the total weighted tardiness in a job shop," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(1), pages 1-17, February.
    10. Ouenniche, J. & Bertrand, J. W. M., 2001. "The finite horizon economic lot sizing problem in job shops: : the multiple cycle approach," International Journal of Production Economics, Elsevier, vol. 74(1-3), pages 49-61, December.
    11. Pannee Suanpang & Pitchaya Jamjuntr & Kittisak Jermsittiparsert & Phuripoj Kaewyong, 2022. "Tourism Service Scheduling in Smart City Based on Hybrid Genetic Algorithm Simulated Annealing Algorithm," Sustainability, MDPI, vol. 14(23), pages 1-21, December.
    12. Jain, A. S. & Meeran, S., 1999. "Deterministic job-shop scheduling: Past, present and future," European Journal of Operational Research, Elsevier, vol. 113(2), pages 390-434, March.
    13. Ivens, Philip & Lambrecht, Marc, 1996. "Extending the shifting bottleneck procedure to real-life applications," European Journal of Operational Research, Elsevier, vol. 90(2), pages 252-268, April.
    14. Giuseppe Lancia & Franca Rinaldi & Paolo Serafini, 2011. "A time-indexed LP-based approach for min-sum job-shop problems," Annals of Operations Research, Springer, vol. 186(1), pages 175-198, June.
    15. Egon Balas & Alkis Vazacopoulos, 1998. "Guided Local Search with Shifting Bottleneck for Job Shop Scheduling," Management Science, INFORMS, vol. 44(2), pages 262-275, February.
    16. Golenko-Ginzburg, Dimitri & Kesler, Shmuel & Landsman, Zinoviy, 1995. "Industrial job-shop scheduling with random operations and different priorities," International Journal of Production Economics, Elsevier, vol. 40(2-3), pages 185-195, August.
    17. Valls, Vicente & Angeles Perez, M. & Sacramento Quintanilla, M., 1998. "A tabu search approach to machine scheduling," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 277-300, April.
    18. Tzafestas, Spyros & Triantafyllakis, Alekos, 1993. "Deterministic scheduling in computing and manufacturing systems: a survey of models and algorithms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 35(5), pages 397-434.

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