Problèmes d'ordonnancement et de moyens de transport des systèmes de production : prise en compte de la qualité de service

Abstract : This manuscript addresses scheduling and transport problems where the transport is explicitly taken into account. Such problems are commonly modelled by graphs that are evaluated to obtain the starting times of operations.Classic graph evaluations are performed using longer path algorithms to obtain a semi-active solution, where all operations are left shifted. Nevertheless, these evaluations generally allow only time or distance criteria to be taken into account. The work presented in this thesis propose to take the quality of service criteria into account in the objective function. These considerations require new graph evaluation functions in order to obtain non-semi-active solutions that maximise the quality of service. Indeed, a semi-active solution rarely offers maximum quality of service. Three integrated problems are successively addressed. The first problem is a Job-shop Scheduling Problem with transport and quality of service, referred to as Job-shop Scheduling Problem with Routing (JSPR). Jobs, defined by a succession of operations, are to be performed on different machines, and between two operations, the job must be transported from a machine to another machine. The quality of service criterion in this problem depends on the delay between, on the one hand, the different operations belonging to the same job, and on the other hand, between the different transport operations. Machine-operations and transport-operations are dependent.The second problem is a Workforce Scheduling and Routing Problem (WSRP), which is similar to a problem of planning home services by a set of employees, and where transport is taken into account. For this problem, the quality of service criterion depends on the starting times of the visits. The trips of employees are independent.The third problem is the Generalised Workforce Scheduling and Routing Problem (GWSRP), which takes coordination constraints between employees into account. The trips are dependent on each other. The evaluation function of the starting times must consider simultaneously all trips in order to respect all coordination constraints and to maximise the service quality.For each problem, a new evaluation function is proposed. For the JSPR, this function is based on the algorithm of (Cordeau and Laporte, 2003) which is introduced first for the Dial-A-Ride Problem. The evaluation function, for the JSPR, is based on the insertion of time-lags in the disjunctive graph. This evaluation is included in a metaheuristic. For the WSRP, the evaluation function is based on the dynamic labelling algorithm used for an Elementary Shortest Path Problem With Resource Constraints. This function is generalised in order to be included in a column generation scheme. Finally, for the GWSRP, the evaluation is performed by a PPC model combined with a generation of columns and both define an overall optimisation scheme.
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Matthieu Gondran. Problèmes d'ordonnancement et de moyens de transport des systèmes de production : prise en compte de la qualité de service. Modélisation et simulation. Université Clermont Auvergne, 2019. Français. ⟨NNT : 2019CLFAC037⟩. ⟨tel-02460666⟩

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