IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i17p3070-d897732.html
   My bibliography  Save this article

Dynamic Optimization of the Multi-Skilled Resource-Constrained Project Scheduling Problem with Uncertainty in Resource Availability

Author

Listed:
  • Min Wang

    (College of Business Administration, Fujian Jiangxia University, Fuzhou 350108, China)

  • Guoshan Liu

    (Business School, Renmin University of China, Beijing 100872, China)

  • Xinyu Lin

    (Business School, Renmin University of China, Beijing 100872, China)

Abstract

Multi-skilled resources have brought more flexibility to resource scheduling and have been a key factor in the research of resource-constrained project scheduling problems. However, existing studies are mainly limited to deterministic problems and neglect some uncertainties such as resource breakdowns, while resource availability may change over time due to unexpected risks such as the COVID-19 pandemic. Therefore, this paper focuses on the multi-skilled project scheduling problem with uncertainty in resource availability. Different from previous assumptions, multi-skilled resources are allowed a switch in their skills, which we call dynamic skill assignment. For this complex problem, a nested dynamic scheduling algorithm called GA-PR is proposed, which includes three new priority rules to improve the solving efficiency. Moreover, the algorithm’s effectiveness is verified by an example, and the modified Project Scheduling Problem Library (PSPLIB) is used for numerical experimental analysis. Numerical experiments show that when the uncertainty in resource availability is considered, the more skills the resource has and the more resources are supplied, the better the dynamic scheduling method performs; on the other hand, the higher the probability of resource unavailability and the more skills are required, the worse the dynamic scheduling method performs.The results are helpful for improved decision making.

Suggested Citation

  • Min Wang & Guoshan Liu & Xinyu Lin, 2022. "Dynamic Optimization of the Multi-Skilled Resource-Constrained Project Scheduling Problem with Uncertainty in Resource Availability," Mathematics, MDPI, vol. 10(17), pages 1-20, August.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3070-:d:897732
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/17/3070/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/10/17/3070/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Benavides, Alexander J. & Ritt, Marcus & Miralles, Cristóbal, 2014. "Flow shop scheduling with heterogeneous workers," European Journal of Operational Research, Elsevier, vol. 237(2), pages 713-720.
    2. 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.
    3. Noah Gans & Yong-Pin Zhou, 2002. "Managing Learning and Turnover in Employee Staffing," Operations Research, INFORMS, vol. 50(6), pages 991-1006, December.
    4. Snauwaert, Jakob & Vanhoucke, Mario, 2021. "A new algorithm for resource-constrained project scheduling with breadth and depth of skills," European Journal of Operational Research, Elsevier, vol. 292(1), pages 43-59.
    5. Kher, Hemant V. & Malhotra, Manoj K. & Philipoom, Patrick R. & Fry, Timothy D., 1999. "Modeling simultaneous worker learning and forgetting in dual resource constrained systems," European Journal of Operational Research, Elsevier, vol. 115(1), pages 158-172, May.
    6. Olivier Lambrechts & Erik Demeulemeester & Willy Herroelen, 2011. "Time slack-based techniques for robust project scheduling subject to resource uncertainty," Annals of Operations Research, Springer, vol. 186(1), pages 443-464, June.
    7. Buddhakulsomsiri, Jirachai & Kim, David S., 2007. "Priority rule-based heuristic for multi-mode resource-constrained project scheduling problems with resource vacations and activity splitting," European Journal of Operational Research, Elsevier, vol. 178(2), pages 374-390, April.
    8. Oliver Polo-Mejía & Christian Artigues & Pierre Lopez & Virginie Basini, 2020. "Mixed-integer/linear and constraint programming approaches for activity scheduling in a nuclear research facility," International Journal of Production Research, Taylor & Francis Journals, vol. 58(23), pages 7149-7166, December.
    9. Lagodimos, A.G. & Mihiotis, A.N., 2006. "Overtime vs. regular shift planning decisions in packing shops," International Journal of Production Economics, Elsevier, vol. 101(2), pages 246-258, June.
    10. Lagodimos, A. G. & Leopoulos, V., 2000. "Greedy heuristic algorithms for manpower shift planning," International Journal of Production Economics, Elsevier, vol. 68(1), pages 95-106, October.
    11. Demeulemeester, Erik & Herroelen, Willy, 2011. "Robust Project Scheduling," Foundations and Trends(R) in Technology, Information and Operations Management, now publishers, vol. 3(3–4), pages 201-376, January.
    12. 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.
    13. N Azizi & M Liang, 2013. "An integrated approach to worker assignment, workforce flexibility acquisition, and task rotation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(2), pages 260-275, February.
    14. Bard, Jonathan F. & Purnomo, Hadi W., 2005. "Preference scheduling for nurses using column generation," European Journal of Operational Research, Elsevier, vol. 164(2), pages 510-534, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Wang, Xiong & Ferreira, Fernando A.F. & Chang, Ching-Ter, 2022. "Multi-objective competency-based approach to project scheduling and staff assignment: Case study of an internal audit project," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    4. De Bruecker, Philippe & Beliën, Jeroen & Van den Bergh, Jorne & Demeulemeester, Erik, 2018. "A three-stage mixed integer programming approach for optimizing the skill mix and training schedules for aircraft maintenance," European Journal of Operational Research, Elsevier, vol. 267(2), pages 439-452.
    5. Hazır, Öncü & Ulusoy, Gündüz, 2020. "A classification and review of approaches and methods for modeling uncertainty in projects," International Journal of Production Economics, Elsevier, vol. 223(C).
    6. Mengqi Zhao & Xiaoling Wang & Jia Yu & Lei Bi & Yao Xiao & Jun Zhang, 2020. "Optimization of Construction Duration and Schedule Robustness Based on Hybrid Grey Wolf Optimizer with Sine Cosine Algorithm," Energies, MDPI, vol. 13(1), pages 1-17, January.
    7. Olivella, Jordi & Nembhard, David, 2016. "Calibrating cross-training to meet demand mix variation and employee absence," European Journal of Operational Research, Elsevier, vol. 248(2), pages 462-472.
    8. Majid Askarifard & Hamidreza Abbasianjahromi & Mehran Sepehri & Ehsanollah Zeighami, 2021. "A robust multi-objective optimization model for project scheduling considering risk and sustainable development criteria," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(8), pages 11494-11524, August.
    9. Shandong Mou, 2022. "Integrated Order Picking and Multi-Skilled Picker Scheduling in Omni-Channel Retail Stores," Mathematics, MDPI, vol. 10(9), pages 1-19, April.
    10. Lagodimos, A.G. & Mihiotis, A.N., 2010. "Efficient overtime planning in packing shops with lines of identical manning," International Journal of Production Economics, Elsevier, vol. 124(2), pages 453-462, April.
    11. Masoud Arjmand & Amir Abbas Najafi & Majid Ebrahimzadeh, 2020. "Evolutionary algorithms for multi-objective stochastic resource availability cost problem," OPSEARCH, Springer;Operational Research Society of India, vol. 57(3), pages 935-985, September.
    12. Shichang Xiao & Shudong Sun & Jionghua (Judy) Jin, 2017. "Surrogate Measures for the Robust Scheduling of Stochastic Job Shop Scheduling Problems," Energies, MDPI, vol. 10(4), pages 1-26, April.
    13. Fang, Kan & Wang, Shijin & Pinedo, Michael L. & Chen, Lin & Chu, Feng, 2021. "A combinatorial Benders decomposition algorithm for parallel machine scheduling with working-time restrictions," European Journal of Operational Research, Elsevier, vol. 291(1), pages 128-146.
    14. Bing Wang & Xingbao Han & Xianxia Zhang & Shaohua Zhang, 2015. "Predictive-reactive scheduling for single surgical suite subject to random emergency surgery," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 949-966, November.
    15. Turhan, Aykut Melih & Bilgen, Bilge, 2022. "A mat-heuristic based solution approach for an extended nurse rostering problem with skills and units," Socio-Economic Planning Sciences, Elsevier, vol. 82(PB).
    16. Bruni, M.E. & Di Puglia Pugliese, L. & Beraldi, P. & Guerriero, F., 2017. "An adjustable robust optimization model for the resource-constrained project scheduling problem with uncertain activity durations," Omega, Elsevier, vol. 71(C), pages 66-84.
    17. 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.
    18. Farnaz Torabi Yeganeh & Seyed Hessameddin Zegordi, 2020. "A multi-objective optimization approach to project scheduling with resiliency criteria under uncertain activity duration," Annals of Operations Research, Springer, vol. 285(1), pages 161-196, February.
    19. Jonas Ingels & Broos Maenhout, 2017. "Employee substitutability as a tool to improve the robustness in personnel scheduling," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(3), pages 623-658, July.
    20. Öncü Hazir & Gündüz Ulusoy, 2020. "A classification and review of approaches and methods for modeling uncertainty in projects," Post-Print hal-02898162, HAL.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3070-:d:897732. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.