The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Job Shop Scheduling by Simulated Annealing
Open accessAbstract
We describe an approximation algorithm for the problem of finding the minimum makespan in a job shop. The algorithm is based on simulated annealing, a generalization of the well known iterative improvement approach to combinatorial optimization problems. The generalization involves the acceptance of cost-increasing transitions with a nonzero probability to avoid getting stuck in local minima. We prove that our algorithm asymptotically converges in probability to a globally minimal solution, despite the fact that the Markov chains generated by the algorithm are generally not irreducible. Computational experiments show that our algorithm can find shorter makespans than two recent approximation approaches that are more tailored to the job shop scheduling problem. This is, however, at the cost of large running times.
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Citations
Cites
Optimization by Simulated Annealing
Kirkpatrick, S., Gelatt, C. D., & Vecchi, M. P. (1983) · Science · doi:10.1126/science.220.4598.671 · Cited by 45,134
Combinatorial Optimization: Algorithms and Complexity.
Johnson, D. S., Papadimitriou, C. H., & Steiglitz, K. (1984) · The American Mathematical Monthly · doi:10.2307/2322374 · Cited by 5,942
Thermodynamical approach to the traveling salesman problem: An efficient simulation algorithm
Černý, V. (1985) · Journal of Optimization Theory and Applications · doi:10.1007/bf00940812 · Cited by 3,436
An Introduction to Probability Theory.
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Simulated annealing: theory and applications.
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Bellman, R. (1958) · Quarterly of Applied Mathematics · doi:10.1090/qam/102435 · Cited by 2,758
The Shifting Bottleneck Procedure for Job Shop Scheduling
Adams, J., Balas, E., & Zawack, D. J. (1988) · Management Science · doi:10.1287/mnsc.34.3.391 · Cited by 1,603
Optimization by Simulated Annealing: An Experimental Evaluation; Part I, Graph Partitioning
Johnson, D. S., Aragon, C. R., McGeoch, L. A., & Schevon, C. (1989) · Operations Research · doi:10.1287/opre.37.6.865 · Cited by 1,457
Computer and job-shop scheduling theory
Coffman, E. G., & Bruno, J. L. (1976) · Medical Entomology and Zoology · Cited by 1,110
Sequencing and Scheduling: An Introduction to the Mathematics of the Job-Shop
Rand, G. K., & French, S. D. (1982) · Journal of the Operational Research Society · doi:10.1057/jors.1982.184 · Cited by 1,047
Cited by
(2005) · Cited by 38
Metadata
- Authors
- van Laarhoven, P. J. M., Aarts, E. H. L., & Lenstra, J. K.
- Venue
- Operations Research
- Published
- 1992-02
- Volume
- 40
- Issue
- 1
- Pages
- 113-125
- ISSN
- 0030-364X (ISSN-L)
- 1526-5463
- OpenAlex
- W2081278763
- Cited by
- 1,123
- References
- 15
- FWCI
- 102.72
- Type
- journal article
- Language
- en
- Open access
- green
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- van Laarhoven, P. J. M., Aarts, E. H. L., & Lenstra, J. K. (1992). Job Shop Scheduling by Simulated Annealing. Operations Research. https://doi.org/10.1287/opre.40.1.113
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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