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A project scheduling problem with labour constraints and time-dependent activities requirements

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  • Drezet, L.-E.
  • Billaut, J.-C.

Abstract

We consider in this paper a project scheduling problem where resources are employees and activity requirements are time-dependent. Furthermore, employees have different skills and legal constraints dictated by the French workforce legislation have to be respected. The project has to be scheduled and employees have to be assigned to activities, so that most of the constraints are respected and the maximal lateness is minimized. We first give a linear programming formulation of the problem. Then, greedy algorithms are proposed to give an approximate solution to the problem. These methods give an initial solution to a Tabu search algorithm. Finally, computational experiments are conducted and results are discussed.

Suggested Citation

  • Drezet, L.-E. & Billaut, J.-C., 2008. "A project scheduling problem with labour constraints and time-dependent activities requirements," International Journal of Production Economics, Elsevier, vol. 112(1), pages 217-225, March.
    • Handle: RePEc:eee:proeco:v:112:y:2008:i:1:p:217-225
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    References listed on IDEAS

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    1. Haase, Knut & Latteier, Jorg & Schirmer, Andreas, 1998. "The course scheduling problem at Lufthansa Technical Training," European Journal of Operational Research, Elsevier, vol. 110(3), pages 441-456, November.
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    2. Banaszak, Z.A. & Zaremba, M.B. & Muszynski, W., 2009. "Constraint programming for project-driven manufacturing," International Journal of Production Economics, Elsevier, vol. 120(2), pages 463-475, August.
    3. Park, Jongyoon & Han, Jinil & Lee, Kyungsik, 2022. "Integer Optimization Model and Algorithm for the Stem Cell Culturing Problem," Omega, Elsevier, vol. 108(C).
    4. Russell, Arya & Taghipour, Sharareh, 2019. "Multi-objective optimization of complex scheduling problems in low-volume low-variety production systems," International Journal of Production Economics, Elsevier, vol. 208(C), pages 1-16.
    5. Ramírez Palencia, Alberto E. & Mejía Delgadillo, Gonzalo E., 2012. "A computer application for a bus body assembly line using Genetic Algorithms," International Journal of Production Economics, Elsevier, vol. 140(1), pages 431-438.
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    7. Xiong, Jian & Leus, Roel & Yang, Zhenyu & Abbass, Hussein A., 2016. "Evolutionary multi-objective resource allocation and scheduling in the Chinese navigation satellite system project," European Journal of Operational Research, Elsevier, vol. 251(2), pages 662-675.
    8. Hartmann, Sönke & Briskorn, Dirk, 2008. "A survey of variants and extensions of the resource-constrained project scheduling problem," Working Paper Series 02/2008, Hamburg School of Business Administration (HSBA).
    9. Snauwaert, Jakob & Vanhoucke, Mario, 2023. "A classification and new benchmark instances for the multi-skilled resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 307(1), pages 1-19.
    10. Van den Bergh, Jorne & Beliën, Jeroen & De Bruecker, Philippe & Demeulemeester, Erik & De Boeck, Liesje, 2013. "Personnel scheduling: A literature review," European Journal of Operational Research, Elsevier, vol. 226(3), pages 367-385.
    11. Meya Haroune & Cheikh Dhib & Emmanuel Neron & Ameur Soukhal & Hafed Mohamed Babou & Mohamedade Farouk Nanne, 2023. "Multi-project scheduling problem under shared multi-skill resource constraints," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(1), pages 194-235, April.
    12. De Bruecker, Philippe & Van den Bergh, Jorne & Beliën, Jeroen & Demeulemeester, Erik, 2015. "Workforce planning incorporating skills: State of the art," European Journal of Operational Research, Elsevier, vol. 243(1), pages 1-16.
    13. Chen, Chung-Yang & Liu, Heng-An & Song, Je-Yi, 2013. "Integrated projects planning in IS departments: A multi-period multi-project selection and assignment approach with a computerized implementation," European Journal of Operational Research, Elsevier, vol. 229(3), pages 683-694.
    14. Park, Jongyoon & Han, Jinil & Lee, Kyungsik, 2024. "Integer optimization models and algorithms for the multi-period non-shareable resource allocation problem," European Journal of Operational Research, Elsevier, vol. 317(1), pages 43-59.
    15. Broos Maenhout & Mario Vanhoucke, 2017. "A resource type analysis of the integrated project scheduling and personnel staffing problem," Annals of Operations Research, Springer, vol. 252(2), pages 407-433, May.
    16. Shaukat, Syed & Katscher, Mathias & Wu, Cheng-Lung & Delgado, Felipe & Larrain, Homero, 2020. "Aircraft line maintenance scheduling and optimisation," Journal of Air Transport Management, Elsevier, vol. 89(C).
    17. Adrian Zimmermann & Norbert Trautmann, 2018. "A list-scheduling heuristic for the short-term planning of assessment centers," Journal of Scheduling, Springer, vol. 21(2), pages 131-142, April.
    18. Rong Chen & Changyong Liang & Dongxiao Gu & Joseph Y-T. Leung, 2017. "A multi-objective model for multi-project scheduling and multi-skilled staff assignment for IT product development considering competency evolution," International Journal of Production Research, Taylor & Francis Journals, vol. 55(21), pages 6207-6234, November.
    19. Hartmann, Sönke & Briskorn, Dirk, 2010. "A survey of variants and extensions of the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 207(1), pages 1-14, November.
    20. Lin, B.M.T. & Liu, S.T., 2008. "Maximizing the reward in the relocation problem with generalized due dates," International Journal of Production Economics, Elsevier, vol. 115(1), pages 55-63, September.
    21. Ripon K. Chakrabortty & Ruhul A. Sarker & Daryl L. Essam, 2020. "Single mode resource constrained project scheduling with unreliable resources," Operational Research, Springer, vol. 20(3), pages 1369-1403, September.
    22. Hartmann, Sönke, 2011. "Project scheduling with resource capacities and requests varying with time," Working Paper Series 01/2011, Hamburg School of Business Administration (HSBA).

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