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    Mathematical formulations for project scheduling problems with categorical and hierarchical skills

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    Publication type
    Journal article with impact factor
    Author
    Snauwaert, Jakob
    Vanhoucke, Mario
    Publication Year
    2022
    Journal
    Computers & Industrial Engineering
    Publication Volume
    169
    Publication Issue
    July
    
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    Abstract
    In this paper, we present six extensions to the multi-skilled resource-constrained project scheduling problem (MSRCPSP) by introducing hierarchical levels of skills. These hierarchical skills can impact the MSRCPSP in multiple different ways. This paper studies efficiency differences, cost differences, quality differences and more. For each of these problems we propose and analyse seven continuous and time-indexed (mixed-)integer linear programming formulations. A modular artificial dataset is generated that assembles instances of the presented problems as well as combinations of these problems. In the computational experiments, we solve these instances using the proposed mathematical formulations with the CPLEX solver. Finally, we compare the results of the different formulations for the resource-constrained project scheduling problems with hierarchical levels of skills in order to explain their inherent similarities and differences.
    Keyword
    Project Scheduling, Resource-constrained Scheduling, Skills, (Mixed-)integer Linear Programming
    Knowledge Domain/Industry
    Operations & Supply Chain Management
    DOI
    10.1016/j.cie.2022.108147
    URI
    http://hdl.handle.net/20.500.12127/7048
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.cie.2022.108147
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