Applications of Optimization III

TD-06: Applications of Optimization III
Stream: Applications of Optimization
Room: Moreau
Chair(s): Jordan Ninin

Network models for the human migration phenomenon
Giorgia Cappello
Large-scale migration flows are posing immense challenges for governments around the globe. In this work we introduce and analyze different multiclass human migration network models under both user-optimizing and system-optimizing approaches, using tools of VI and Game theory. Four scenarios are proposed: in one model we introduce policy intervention, in the form of subsidies; in another model the locations associated with migration are subject to capacities; in another one we introduce regulations inspired by the Covid-19 pandemic. Some numerical examples are provided.

An approach on efficiency measure for a fully fuzzy DEA
Manuel Arana-Jiménez
In this work, we deal with a model of Data Envelopment Analysis (DEA) poblem whose inputs and outputs data can be given by means of fuzzy numbers, what derives a fully fuzzy DEA. We propose a new radial, input-oriented approach, based on arithmetic operations with fuzzy numbers, as well as LU-fuzzy partial order. We propose a method with two phases to assess the relative efficiency of each Decision Making Unit (DMU), and classify each DMU. In each phase a fully fuzzy linear programming is formulated, which is transformed into a related multiobjective optimization problema.

Toolpath optimization for freeform surfaces machining
Mahfoud Herraz, Jean-Max Redonnet, Marcel Mongeau, Mohammed Sbihi
A two-step optimization procedure, specifically dedicated to toolpath planning for milling of free-form surfaces is presented. A full optimization model is built relying on state-of-the-art black-box optimizations methods. Because of specific industrial needs, this procedure has to include a clustering phase and a milling simulation phase. Furthermore, given the context, calculation time is very important. Therefore, a surrogate model, based on Principal Component Analysis is defined. The approach is benchmarked with several test case surfaces, and results are presented and discussed.

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