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A Computational Study of the Job-Shop Scheduling Problem
Abstract
The job-shop scheduling problem is a notoriously difficult problem in combinatorial optimization. Although even modest sized instances remain computationally intractable, a number of important algorithmic advances have been made in recent years by J. Adams, E. Balas and D. Zawack; J. Carlier and E. Pinson; B. J. Lageweg, J. K. Lenstra and A. H. G. Rinnooy Kan; and others. Making use of a number of these advances, we have designed and implemented a new heuristic procedure for finding schedules, a cutting-plane method for obtaining lower bounds, and a combinatorial branch and bound algorithm. Our optimization procedure, combining the heuristic method and the combinatorial branch and bound algorithm, solved the well-known 10×10 problem of J. F. Muth and G. L. Thomson in under 7 minutes of computation time on a Sun Sparcstation 1. INFORMS Journal on Computing, ISSN 1091-9856, was published as ORSA Journal on Computing from 1989 to 1995 under ISSN 0899-1499.
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Citations
Cited by
Using Constraint Programming and Local Search Methods to Solve Vehicle Routing Problems
Shaw, P. (1998) · Lecture Notes in Computer Science · doi:10.1007/3-540-49481-2_30 · Cited by 1,366
Integer and combinatorial optimization
(1999) · Computers & Mathematics with Applications · doi:10.1016/s0898-1221(99)91259-2 · Cited by 1,117
Deterministic job-shop scheduling: Past, present and future
Jain, A. S., & Meeran, S. (1999) · European Journal of Operational Research · doi:10.1016/s0377-2217(98)00113-1 · Cited by 782
The job shop scheduling problem: Conventional and new solution techniques
Błażewicz, J., Domschke, W., & Pesch, E. (1996) · European Journal of Operational Research · doi:10.1016/0377-2217(95)00362-2 · Cited by 536
Exploring relaxation induced neighborhoods to improve MIP solutions
Danna, E., Rothberg, E., & Pape, C. L. (2005) · Mathematical Programming · doi:10.1007/s10107-004-0518-7 · Cited by 530
Metadata
- Authors
- Applegate, D., & Cook, W.
- Venue
- ORSA Journal on Computing
- Published
- 1991-05
- Volume
- 3
- Issue
- 2
- Pages
- 149-156
- ISSN
- 0899-1499 (ISSN-L)
- 2326-3245
- OpenAlex
- W2071306171
- Cited by
- 908
- References
- 0
- FWCI
- 32.53
- Type
- journal article
- Language
- en
- Open access
- closed
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- Applegate, D., & Cook, W. (1991). A Computational Study of the Job-Shop Scheduling Problem. ORSA Journal on Computing. https://doi.org/10.1287/ijoc.3.2.149
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