Abstract
In this paper we deal with a complex real world scheduling problem closely related to the well-known Resource-Constrained Project Scheduling Problem (RCPSP). The problem concerns industrial test laboratories in which a large number of tests has to be performed by qualified personnel using specialised equipment, while respecting deadlines and other constraints. We present different constraint programming models and search strategies for this problem. Our approaches are evaluated using CP solvers and a MIP solver on a set of generated instances of different sizes. With our best approach we could find feasible and several optimal solutions for instances that are generated based on real-world test laboratory problems.
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- 1.
In TLSP, these are derived from the tasks contained within a job. Since we assume the distribution of tasks into jobs to be fixed, they can be given directly as part of the input for TLSP-S.
References
Bartels, J.H., Zimmermann, J.: Scheduling tests in automotive R&D projects. Eur. J. Oper. Res. 193(3), 805–819 (2009). https://doi.org/10.1016/j.ejor.2007.11.010
Bellenguez, O., Néron, E.: Lower bounds for the multi-skill project scheduling problem with hierarchical levels of skills. In: Burke, E., Trick, M. (eds.) PATAT 2004. LNCS, vol. 3616, pp. 229–243. Springer, Heidelberg (2005). https://doi.org/10.1007/11593577_14
Brucker, P., Drexl, A., Möhring, R., Neumann, K., Pesch, E.: Resource-constrained project scheduling: notation, classification, models, and methods. Eur. J. Oper. Res. 112(1), 3–41 (1999). https://doi.org/10.1016/S0377-2217(98)00204-5
Chu, G.: Improving combinatorial optimization. Ph.D. thesis, University of Melbourne, Australia (2011). http://hdl.handle.net/11343/36679
Dauzère-Pérès, S., Roux, W., Lasserre, J.: Multi-resource shop scheduling with resource flexibility. Eur. J. Oper. Res. 107(2), 289–305 (1998). https://doi.org/10.1016/S0377-2217(97)00341-X
Drezet, L.E., Billaut, J.C.: A project scheduling problem with labour constraints and time-dependent activities requirements. Int. J. Prod. Econ. 112(1), 217–225 (2008). https://doi.org/10.1016/j.ijpe.2006.08.021. Special Section on Recent Developments in the Design, Control, Planning and Scheduling of Productive Systems
Elmaghraby, S.E.: Activity Networks: Project Planning and Control by Network Models. Wiley, New York (1977)
Feydy, T., Goldwaser, A., Schutt, A., Stuckey, P.J., Young, K.D.: Priority search with MiniZinc. In: ModRef 2017: The Sixteenth International Workshop on Constraint Modelling and Reformulation at CP 2017 (2017)
Hartmann, S., Briskorn, D.: A survey of variants and extensions of the resource-constrained project scheduling problem. Eur. J. Oper. Res. 207(1), 1–14 (2010). https://doi.org/10.1016/j.ejor.2009.11.005
IBM, CPLEX: 12.8.0 IBM ILOG CPLEX optimization studio CP optimizer user’s manual (2017). https://www.ibm.com/analytics/cplex-cp-optimizer
IBM, CPLEX: 12.8.0 IBM ILOG CPLEX optimization studio CPLEX user’s manual (2017). https://www.ibm.com/analytics/cplex-optimizer
Mika, M., Waligóra, G., Wȩglarz, J.: Overview and state of the art. In: Schwindt, C., Zimmermann, J. (eds.) Handbook on Project Management and Scheduling. International Handbooks on Information Systems, vol. 1, pp. 445–490. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-05443-8_21
Mischek, F., Musliu, N.: A local search framework for industrial test laboratory scheduling. In: Proceedings of the 12th International Conference on the Practice and Theory of Automated Timetabling (PATAT-2018), Vienna, Austria, 28–31 August 2018, pp. 465–467 (2018)
Mischek, F., Musliu, N.: The test laboratory scheduling problem. Technical report, Christian Doppler Laboratory for Artificial Intelligence and Optimization for Planning and Scheduling, TU Wien, CD-TR 2018/1 (2018)
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
Nudtasomboon, N., Randhawa, S.U.: Resource-constrained project scheduling with renewable and non-renewable resources and time-resource tradeoffs. Comput. Ind. Eng. 32(1), 227–242 (1997). https://doi.org/10.1016/S0360-8352(96)00212-4
Pritsker, A.A.B., Waiters, L.J., Wolfe, P.M.: Multiproject scheduling with limited resources: a zero-one programming approach. Manage. Sci. 16(1), 93–108 (1969). https://doi.org/10.1287/mnsc.16.1.93
Salewski, F., Schirmer, A., Drexl, A.: Project scheduling under resource and mode identity constraints: model, complexity, methods, and application. Eur. J. Oper. Res. 102(1), 88–110 (1997). https://doi.org/10.1016/S0377-2217(96)00219-6
Schulte, C., Lagerkvist, M., Tack, G.: Gecode 6.10 reference documentation (2018). https://www.gecode.org
Schwindt, C., Trautmann, N.: Batch scheduling in process industries: an application of resource-constrained project scheduling. OR-Spektrum 22(4), 501–524 (2000)
Szeredi, R., Schutt, A.: Modelling and solving multi-mode resource-constrained project scheduling. In: Rueher, M. (ed.) CP 2016. LNCS, vol. 9892, pp. 483–492. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-44953-1_31
Wȩglarz, J., Józefowska, J., Mika, M., Waligóra, G.: Project scheduling with finite or infinite number of activity processing modes–a survey. Eur. J. Oper. Re. 208(3), 177–205 (2011). https://doi.org/10.1016/j.ejor.2010.03.037
Young, K.D., Feydy, T., Schutt, A.: Constraint programming applied to the multi-skill project scheduling problem. In: Beck, J.C. (ed.) CP 2017. LNCS, vol. 10416, pp. 308–317. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-66158-2_20
Acknowledgments
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs and the National Foundation for Research, Technology and Development is gratefully acknowledged. We would also like to thank the anonymous reviewers for their feedback, in particular regarding CP-modelling.
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Geibinger, T., Mischek, F., Musliu, N. (2019). Investigating Constraint Programming for Real World Industrial Test Laboratory Scheduling. In: Rousseau, LM., Stergiou, K. (eds) Integration of Constraint Programming, Artificial Intelligence, and Operations Research. CPAIOR 2019. Lecture Notes in Computer Science(), vol 11494. Springer, Cham. https://doi.org/10.1007/978-3-030-19212-9_20
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