Abstract
The formulation of an open shop scheduHng problem is the same as for the flow shop problem except that the order of processing tasks comprising one job may be arbitrary.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. O. Achugbue, F. Y. Chin, Scheduling the open shop to minimize mean flow time, SIAM J. Comput. 11, 1982, 709–720.
D. Applegate and W. Cook, A computational study of the job shop scheduling problem, ORSA J. Comput. 3, 1991, 149–156.
P. Brucker, J. Hurink, B. Jurisch and B. Wöstmann, A branch and bound algorithm for the open shop problem, Discrete Appl. Math. 76, 1997, 43–59.
P. Brucker, B. Jurisch and A. Krämer, The job shop problem and immediate selection, Annals Oper. Res. 50, 1994, 73–114.
P. Brucker, B. Jurisch, and B. Sievers, A fast branch and bound algorithm for the job shop scheduling problem, Discrete Appl. Math. 49, 1994, 107–127.
P. Baptiste and C. Le Pape, A theoretical and experimental comparison of constraint propagation techniques for disjunctive scheduling, In: Proceedings of the 14th International Joint Conference on Artificial Intelligence, Montreal, 136–140, 1995.
P. Baptiste and C. Le Pape, Edge-finding constraint propagation algorithms for disjunctive and cumulative scheduling, In: Proceedings of the 15th Workshop of the U. K. Planning Special Interest Group, Liverpool, 1996.
C. Blum, Beam-ACO — Hybridizing ant colony optimization with beam search: An application to open shop scheduling, Comput. Oper. Res. 32, 2005, 1565–1591.
J. Błażewicz, E. Pesch, M. Sterna, The disjunctive graph machine representation of the job shop scheduling problem, European J. Oper. Res. 127, 2000, 317–331.
C. Blum, M. Sampels, An ant colony optimization algorithm for shop scheduling problems, J. Math. Modelling and Algorithms 3, 2004, 285–308.
H. Bräsel, T. Tautenhahn and F. Werner, Constructive heuristic algorithms for the open shop problem, Computing 51, 1993, 95–110.
S. Colak, A. Agarwal, Non-greedy heuristics and augmented neural networks for the open-shop scheduling problem, Naval Res. Logist. 52, 2005, 631–644.
Y. Caseau and F. Laburthe, Disjunctive scheduling with task intervals, Technical Report 95-25, Laboratoire d’Informatique de l’Ecole Normale Superieure, Paris, 1995.
J. Carlier and E. Pinson, An algorithm for solving the job shop problem, Management Sci. 35, 1989, 164–176.
J. Carlier and E. Pinson, A practical use of Jackson’s preemptive schedule for solving the job shop problem, Annals Oper. Res. 26, 1990, 269–287, 1990.
J. Carlier and E. Pinson, Adjustments of heads and tails for the job shop problem, European J. Oper. Res. 78, 1994, 146–161.
Y. Cho, S. Sahni, Preemptive scheduling of independent jobs with release and due times on open, flow and job shops, Oper. Res. 29, 1981, 511–522.
U. Dorndorf, T. Phan-Huy and E. Pesch, A survey of interval capacity consistency tests for time and resource constrained scheduling, In: J. Weglarz, editor, Project Scheduling-Recent Models, Algorithms and Applications, 213–238, Kluwer Academic Publishers, Boston, 1999.
U. Dorndorf, E. Pesch and T. Phan-Huy, Constraint propagation techniques for disjunctive scheduling problems, Artificial Intelligence 122, 2000, 189–240.
U. Dorndorf, E. Pesch and T. Phan-Huy, Solving the open shop scheduling problem, Journal of Scheduling 4, 2001, 157–174.
C. Gueret, N. Jussien, and C. Prins, Using intelligent backtracking to improve branch and bound methods: An application to open shop problems, European J. Oper. Res. 127, 2000, 344–354.
C. Gueret and C. Prins. Classical and new heuristics for the open shop problem: A computational evaluation, European J. Oper. Res. 107, 1998, 306–314, 1998.
C. Gueret and C. Prins. Forbidden intervals for open-shop problems, Research Report 98/10/AUTO, Ecole de Mines de Nantes, Nantes, 1998.
C. Gueret and C. Prins, A new lower bound for the open-shop problem, Annals Oper. Res. 92, 1999, 165–183.
T. Gonzalez, S. Sahni, Open shop scheduling to minimize finish time, J. Assoc. Comput. Mach. 23, 1976, 665–679.
J. Jackson, An extension on Johnson’s results on job lot scheduling, Naval Res. Logist. Quart. 3, 1956, 201–203.
W. Kubiak, C. Srishkandarajah, K. Zaras, A note on the complexity of open shop scheduling problems, INFOR 29, 1991, 284–294.
C. F. Liaw, An iterative improvement approach for nonpreemptive open shop scheduling problem, European J. Oper. Res. 111, 1998, 509–517.
E. L. Lawler, J. K. Lenstra, A. H. G. Rinnooy Kan, Minimizing maximum lateness in a two-machine open shop, Math. Oper. Res. 6, 1981, 153–158; Erratum, Math. Oper. Res. 7, 1982, 635.
P. Martin and D. B. Shmoys, A new approach to computing optimal schedules for the job shop scheduling problem, In: Proceedings of the 5th International IPCO Conference, 1996.
W. P. M. Nuijten, Time and Resource Constrained Scheduling: A Constraint Satisfaction Approach, PhD thesis, Eindhoven University of Technology, 1994.
T. Phan-Huy, Constraint Propagation in Flexible Manufacturing, Springer, Heidelberg, 2000.
C. Prins, Competitive genetic algorithms for the open-shop scheduling problem Math. Methods of Oper. Res. 52, 2000, 389–411.
A. Ramudhin and P. Marier, The generalized shifting bottleneck procedure, European J. Oper. Res. 93, 1996, 34–48.
B. Roy and B. Sussmann, Les problemes d’ordonnancement avec contraintes disjonctives. Note D. S. 9, SEMA, Paris, 1964.
E. Taillard, Benchmarks for basic scheduling problems, European J. Oper. Res., 64, 1993, 278–285.
E. Tsang, Foundations of Constraint Satisfaction. Academic Press, Essex, 1993.
F. Werner and A. Winkler, Insertion techniques for the heuristic solution of the job shop problem, Discrete Appl. Math. 58, 1995, 191–211.
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(2007). Open Shop Scheduling. In: Handbook on Scheduling. International Handbook on Information Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-32220-7_9
Download citation
DOI: https://doi.org/10.1007/978-3-540-32220-7_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28046-0
Online ISBN: 978-3-540-32220-7
eBook Packages: Business and EconomicsBusiness and Management (R0)