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Integrated training course planning and hierarchical multi-skilled employee scheduling in the workforce skill transformation context

Author

Listed:
  • Su, Guiping
  • Zhong, Huiling
  • Zhang, Jian

Abstract

The technological advances in many areas bring new skill requirements to the workforce, leading to a large number of workers facing the need of skill transformation and an increasing demand for workforce skill training. For many companies, to meet the complex and changing skill requirements of their tasks, their employees must be trained before being assigned to fulfill these tasks. As a result, when planning the training courses and scheduling the tasks of a company, a series of complex constraints related to the precedence of training and tasks, task-dependent skill requirements, course capacity, etc., should be taken into account, which poses a significant challenge for the management of the company. To solve this challenge, in this paper, we first formulate an integer programming model for the integrated training course and employee scheduling problem (ITCESP) to maximize the company’s total profits. Secondly, we develop a column-generation-based heuristic (CGBH) algorithm to obtain approximate solutions while achieving a high computational efficiency as well as a desirable solution accuracy. Thirdly, based on the context of home services, we simulate 18 sets of test instances and validate the advantages of the CGBH algorithm. Finally, through scenario comparisons and sensitivity analyses on key parameters, we provide practitioners with useful managerial insights.

Suggested Citation

  • Su, Guiping & Zhong, Huiling & Zhang, Jian, 2025. "Integrated training course planning and hierarchical multi-skilled employee scheduling in the workforce skill transformation context," International Journal of Production Economics, Elsevier, vol. 286(C).
  • Handle: RePEc:eee:proeco:v:286:y:2025:i:c:s0925527325001276
    DOI: 10.1016/j.ijpe.2025.109642
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    References listed on IDEAS

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    1. Korytkowski, Przemyslaw & Malachowski, Bartlomiej, 2019. "Competence-based estimation of activity duration in IT projects," European Journal of Operational Research, Elsevier, vol. 275(2), pages 708-720.
    2. Christiane Barz & Rainer Kolisch, 2014. "Hierarchical Multi-skill Resource Assignment in the Telecommunications Industry," Production and Operations Management, Production and Operations Management Society, vol. 23(3), pages 489-503, March.
    3. Lansing, Jens & Siegfried, Nils & Sunyaev, Ali & Benlian, Alexander, 2019. "Strategic signaling through cloud service certifications: Comparing the relative importance of certifications’ assurances to companies and consumers," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 117406, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    4. Daron Acemoglu & Jorn-Steffen Pischke, 1999. "The Structure of Wages and Investment in General Training," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 539-572, June.
    5. Akbarzadeh, Babak & Maenhout, Broos, 2021. "A decomposition-based heuristic procedure for the Medical Student Scheduling problem," European Journal of Operational Research, Elsevier, vol. 288(1), pages 63-79.
    6. Krishnamoorthy, M. & Ernst, A.T. & Baatar, D., 2012. "Algorithms for large scale Shift Minimisation Personnel Task Scheduling Problems," European Journal of Operational Research, Elsevier, vol. 219(1), pages 34-48.
    7. Wallace J. Hopp & Eylem Tekin & Mark P. Van Oyen, 2004. "Benefits of Skill Chaining in Serial Production Lines with Cross-Trained Workers," Management Science, INFORMS, vol. 50(1), pages 83-98, January.
    8. Ceschia, Sara & Di Gaspero, Luca & Schaerf, Andrea, 2023. "Educational timetabling: Problems, benchmarks, and state-of-the-art results," European Journal of Operational Research, Elsevier, vol. 308(1), pages 1-18.
    9. Seizinger, Markus & Brunner, Jens O., 2023. "Optimized planning of nursing curricula in dual vocational schools focusing on the German health care system," European Journal of Operational Research, Elsevier, vol. 304(3), pages 1223-1241.
    10. Chen, Xi & Li, Kaiwen & Lin, Sidian & Ding, Xiaosong, 2024. "Technician routing and scheduling with employees’ learning through implicit cross-training strategy," International Journal of Production Economics, Elsevier, vol. 271(C).
    11. Manu Sharma & Sunil Luthra & Sudhanshu Joshi & Anil Kumar, 2022. "Analysing the impact of sustainable human resource management practices and industry 4.0 technologies adoption on employability skills," International Journal of Manpower, Emerald Group Publishing Limited, vol. 43(2), pages 463-485, April.
    12. Yu, Jianjun & Fang, Yanli & Zhong, Yuanguang & Zhang, Xiong & Zhang, Ruijie, 2022. "Pricing and quality strategies for an on-demand housekeeping platform with customer-intensive services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    13. Gary S. Becker, 1962. "Investment in Human Capital: A Theoretical Analysis," Journal of Political Economy, University of Chicago Press, vol. 70(5), pages 1-9.
    14. Nikos Tsikriktsis, 2007. "The Effect of Operational Performance and Focus on Profitability: A Longitudinal Study of the U.S. Airline Industry," Manufacturing & Service Operations Management, INFORMS, vol. 9(4), pages 506-517, April.
    15. Cesar Augusto Henao & Juan Carlos Munoz & Juan Carlos Ferrer, 2015. "The impact of multi-skilling on personnel scheduling in the service sector: a retail industry case," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(12), pages 1949-1959, December.
    16. Henao, César Augusto & Ferrer, Juan Carlos & Muñoz, Juan Carlos & Vera, Jorge, 2016. "Multiskilling with closed chains in a service industry: A robust optimization approach," International Journal of Production Economics, Elsevier, vol. 179(C), pages 166-178.
    17. Li, Yanfeng & Xiang, Ting & Szeto, Wai Yuen, 2021. "Home health care routing and scheduling problem with the consideration of outpatient services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    18. K Hafeez & H Abdelmeguid, 2003. "Dynamics of human resource and knowledge management," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(2), pages 153-164, February.
    19. Castaño, Fabián & Velasco, Nubia, 2020. "Exact and heuristic approaches for the automated design of medical trainees rotation schedules," Omega, Elsevier, vol. 97(C).
    20. John M. Barron & Mark C. Berger & Dan A. Black, 1999. "Do Workers Pay for On-The-Job Training?," Journal of Human Resources, University of Wisconsin Press, vol. 34(2), pages 235-252.
    21. Brech, Claus-Henning & Ernst, Andreas & Kolisch, Rainer, 2019. "Scheduling medical residents’ training at university hospitals," European Journal of Operational Research, Elsevier, vol. 274(1), pages 253-266.
    22. Jacob Mincer, 1962. "On-the-Job Training: Costs, Returns, and Some Implications," NBER Chapters, in: Investment in Human Beings, pages 50-79, National Bureau of Economic Research, Inc.
    23. Henao, César Augusto & Mercado, Yessica Andrea & González, Virginia I. & Lüer-Villagra, Armin, 2023. "Multiskilled personnel assignment with k-chaining considering the learning-forgetting phenomena," International Journal of Production Economics, Elsevier, vol. 265(C).
    24. Battini, Daria & Berti, Nicola & Finco, Serena & Zennaro, Ilenia & Das, Ajay, 2022. "Towards industry 5.0: A multi-objective job rotation model for an inclusive workforce," International Journal of Production Economics, Elsevier, vol. 250(C).
    25. Joydeep Chatterjee, 2017. "Strategy, human capital investments, business‐domain capabilities, and performance: a study in the global software services industry," Strategic Management Journal, Wiley Blackwell, vol. 38(3), pages 588-608, March.
    26. 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.
    27. Ruslan Sadykov & François Vanderbeck & Artur Pessoa & Issam Tahiri & Eduardo Uchoa, 2019. "Primal Heuristics for Branch and Price: The Assets of Diving Methods," INFORMS Journal on Computing, INFORMS, vol. 31(2), pages 251-267, April.
    28. Christian Ruf & Jonathan F. Bard & Rainer Kolisch, 2022. "Workforce capacity planning with hierarchical skills, long-term training, and random resignations," International Journal of Production Research, Taylor & Francis Journals, vol. 60(2), pages 783-807, January.
    29. 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.
    30. Acemoglu, Daron & Pischke, Jorn-Steffen, 1999. "Beyond Becker: Training in Imperfect Labour Markets," Economic Journal, Royal Economic Society, vol. 109(453), pages 112-142, February.
    31. Muller, Renan Bergonsi & Rego, Erik Eduardo, 2021. "Privatization of electricity distribution in Brazil: Long-term effects on service quality and financial indicators," Energy Policy, Elsevier, vol. 159(C).
    32. Poulissen, Davey & De Grip, Andries & Fouarge, Didier & Künn-Nelen, Annemarie, 2023. "Employers’ willingness to invest in the training of temporary versus permanent workers: A discrete choice experiment," Labour Economics, Elsevier, vol. 84(C).
    33. Paraskevopoulos, Dimitris C. & Laporte, Gilbert & Repoussis, Panagiotis P. & Tarantilis, Christos D., 2017. "Resource constrained routing and scheduling: Review and research prospects," European Journal of Operational Research, Elsevier, vol. 263(3), pages 737-754.
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