Abstract
The job shop scheduling problem (JSSP) is an abstraction of industrial scheduling and has been studied since the dawn of the computer era. Its combinatorial nature makes it easily expressible as a constraint satisfaction problem. Nevertheless, in the last decade, there has been a hiatus in the research on this topic from the constraint community; even when this problem is addressed, the target instances are from benchmarks that are more than 20 years old. And yet, constraint solvers have continued to evolve and the standards of today’s industry have drastically changed. Our aim is to close this research gap by testing the capabilities of the best available CP solvers on the JSSP. We target not only the classic benchmarks from the literature but also a new benchmark of large-scale instances reflecting nowadays industrial scenarios. Furthermore, we analyze different encodings of the JSSP to measure the impact of high-level structures (such as interval variables and no-overlap constraints) on the problem solution. The solvers considered are OR-Tools, Google’s open-source solver and winner of the last MiniZinc Challenge, and IBM’s CP Optimizer, a proprietary solver targeted towards industrial scheduling problems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
- 2.
- 3.
- 4.
complete encodings and benchmarks are available at https://goo.gl/qarP3m.
- 5.
With the exception of ORT SemiNaive.
References
Adams, J., Balas, E., Zawack, D.: The shifting bottleneck procedure for job shop scheduling. Manage. Sci. 34(3), 391–401 (1988). http://www.jstor.org/stable/2632051
Applegate, D., Cook, W.: A computational study of the job-shop scheduling problem. ORSA J. Comput. 3(2), 149–156 (1991). https://doi.org/10.1287/ijoc.3.2.149
Da Col, G., Teppan, E.C.: Declarative decomposition and dispatching for large-scale job-shop scheduling. In: Friedrich, G., Helmert, M., Wotawa, F. (eds.) KI 2016. LNCS (LNAI), vol. 9904, pp. 134–140. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-46073-4_11
Danna, E., Rothberg, E., Le Pape, C.: Integrating mixed integer programming and local search: a case study on job-shop scheduling problems. In: Fifth International Workshop on Integration of AI and OR techniques in Constraint Programming for Combinatorial Optimisation Problems (CP-AI-OR’2003), pp. 65–79 (2003)
Fox, M.S., Allen, B.P., Strohm, G.: Job-shop scheduling: an investigation in constraint-directed reasoning. In: AAAI, pp. 155–158 (1982)
Ku, W.Y., Beck, J.C.: Mixed integer programming models for job shop scheduling: a computational analysis. Comput. Oper. Res. 73, 165–173 (2016)
Laborie, P., Godard, D.: Self-adapting large neighborhood search: application to single-mode scheduling problems. In: Proceedings MISTA-07, Paris, vol. 8 (2007)
Laborie, P., Rogerie, J.: Temporal linear relaxation in IBM ILOG CP optimizer. J. Sched. 19(4), 391–400 (2016)
Laborie, P., Rogerie, J., Shaw, P., Vilím, P.: IBM ILOG CP optimizer for scheduling. Constraints 23(2), 210–250 (2018)
Lawrence, S.: Resource constrained project scheduling: an experimental investigation of heuristic scheduling techniques (Supplement). Carnegie-Mellon University, Graduate School of Industrial Administration (1984)
Muth, J., Thompson, G.: Industrial Scheduling. International Series in Management. Prentice-Hall, New Jersey (1963)
Nethercote, N., Stuckey, P.J., Becket, R., Brand, S., Duck, G.J., Tack, G.: MiniZinc: towards a standard CP modelling language. In: Bessière, C. (ed.) CP 2007. LNCS, vol. 4741, pp. 529–543. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-74970-7_38
Refalo, P.: Linear formulation of constraint programming models and hybrid solvers. In: Dechter, R. (ed.) CP 2000. LNCS, vol. 1894, pp. 369–383. Springer, Heidelberg (2000). https://doi.org/10.1007/3-540-45349-0_27
Sadeh, N.M., Fox, M.S.: Variable and value ordering heuristics for the job shop scheduling constraint satisfaction problem. Artif. Intell. 86, 1–41 (1996)
Storer, R.H., Wu, S.D., Vaccari, R.: New search spaces for sequencing problems with application to job shop scheduling. Manage. Sci. 38(10), 1495–1509 (1992)
Taillard, E.: Benchmarks for basic scheduling problems. Eur. J. Oper. Res. 64(2), 278–285 (1993)
Teppan, E.C., Da Col, G.: Automatic generation of dispatching rules for large job shops by means of genetic algorithms. In: 8th International Workshop on Combinations of Intelligent Methods and Applications (CIMA 2018), pp. 43–57 (2018)
Vazquez, M., Whitley, L.D.: A comparison of genetic algorithms for the dynamic job shop scheduling problem. In: 2nd Annual Conference on Genetic and Evolutionary Computation, pp. 1011–1018. Morgan Kaufmann Publishers Inc. (2000)
Vilím, P., Laborie, P., Shaw, P.: Failure-directed search for constraint-based scheduling. In: Michel, L. (ed.) CPAIOR 2015. LNCS, vol. 9075, pp. 437–453. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-18008-3_30
Yamada, T., Nakano, R.: A genetic algorithm applicable to large-scale job-shop problems. In: PPSN, pp. 283–292 (1992)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Da Col, G., Teppan, E.C. (2019). Industrial Size Job Shop Scheduling Tackled by Present Day CP Solvers. In: Schiex, T., de Givry, S. (eds) Principles and Practice of Constraint Programming. CP 2019. Lecture Notes in Computer Science(), vol 11802. Springer, Cham. https://doi.org/10.1007/978-3-030-30048-7_9
Download citation
DOI: https://doi.org/10.1007/978-3-030-30048-7_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-30047-0
Online ISBN: 978-3-030-30048-7
eBook Packages: Computer ScienceComputer Science (R0)