Abstract
In this paper we introducean optimisation problem extracted from an industrial application:the scheduling problem under labour constraints. After givinga short summary of the origins of this problem and its mathematicalformulation, the different methods used for solving it (at leastpartially) are briefly described. In the last part, we presenta set of 25 instances of different sizes for benchmark purposes.So far, only 5 of these test instances have been solved to optimality,the others remaining open.
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R. Alvarez-Valdés OlagÚýbel and J.M. Tamarit Goerlich. (1989). Heuristic algorithms for resourceconstrained project scheduling: a review and an empirical analysis. In Advances in Project Scheduling, Amsterdam: Elsevier, pages 113-134.
P. Baptiste and C. Le Pape. (1997). Constraint Propagation and Decomposition Techniques for Highly Disjunctive and Highly Cumulative Project Scheduling Problems. In Principles and Practice of Constraint Programming-CP97, Berlin, Heidelberg: Springer.
M. Bartusch, R.H. Möhring, and F.J. Radermacher. (1988). Scheduling project networks with resource constraints and time windows. Annals of Operations Research, 16: 201-240.
C.C.B. Cavalcante, C.C. de Souza, M.W.P. Savelsbergh, Y. Wang, and L.A. Wolsey. (1998). Scheduling projects with labor constraints. Core discussion paper 9859, Université Catholique de Louvain, Belgium. Accepted for publication in Discrete and Applied Mathematics (special issue of CO98).
C.C.B. Cavalcante and C.C. de Souza. (1997). A tabu search approach for scheduling problem under labour constraints. Technical Report IC-97-13, State University of Campinas. http://www.dcc.unicamp.br/reltecftp/ Titles.html.
COME Manual. (1993). Ars Nova, Freiburg.
M.R. Garey and D.S. Johnson. (1979). Computers and Intractability: A Guide to the Theory of NP completeness. San Francisco: W.H. Freeman & Company.
F. Glover. (1989). Tabu search-part i. ORSA Journal on Computing, 1(3): 190-206.
F. Glover. (1990). Tabu search-part ii. ORSA Journal on Computing, 2(3): 3-32.
S. Heipcke. (1995). Resource Constrained Job-Shop Scheduling with Constraint Nets. Two Case Studies. Diplomarbeit, Kath. Universität Eichstätt, Eichstätt.
S. Heipcke. (1996). Resource Constrained Scheduling with COME. In Proceedings of the Second International Conference on the Practical Application of Constraint Technology, PACT 96, London, UK.
S. Heipcke and Y. Colombani. (1997). A New Constraint Programming Approach to Large Scale Resource Constrained Scheduling. Presentation at Third Workshop on Scheduling and Planning, Cambridge, UK.
S. Heipcke and Y. Colombani. (1997). The Constraint Solver SchedEns. Tutorial and Documentation. Technical Report 241, LIM Laboratoire d'Informatique de Marseille.
A. Ikonomou. (1999). Tabu Search for Labour-Resource Constrained Scheduling Problems with Minimum and Maximum Buffer Times. PhD thesis, University of Buckingham, School of Business.
E.L. Johnson, G.L. Nemhauser, and M.W.P. Savelsbergh. (1997). Progress in Integer Programming: An Exposition. Submitted to INFORMS J. on Computing.
R. Kolisch, A. Sprecher, and A. Drexl. (1995). Characterization and Generation of a General Class of Resource-Constrained Project Scheduling Problems. Management Science, 41(10): 1693-1703.
R. Möhring, F. Stork, and M. Uetz. (1998). Resource Constrained Project Scheduling with TimeWindows: a Branching Scheme Based on Dynamic Release Dates. Technical Report 596/1998, Fachbereich Mathematik, Technische Universität Berlin.
J.H. Patterson. (1984). A Comparison of Exact Approaches for Solving the Multiple Constrained Resource Project Scheduling Problem. Management Science, 30(7): 854-867.
L.A. Wolsey and C.C. de Souza. (1997). Scheduling projects with labour constraints. Technical Report IC-97-22, State University of Campinas. http://www.dcc.unicamp.br/reltec-ftp/Titles.html.
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Heipcke, S., Colombani, Y., Cavalcante, C.C.B. et al. Scheduling under Labour Resource Constraints. Constraints 5, 415–422 (2000). https://doi.org/10.1023/A:1009860311452
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DOI: https://doi.org/10.1023/A:1009860311452