We study here a variant of the multimode Resource Constrained Project Scheduling problem (RCPSP), which involves continuous modes, and a notion of Safety Margin maximization. Our interest was motivated by a work package inside the GEOSAFE H2020 project, devoted to the design of evacuation plans in face of natural disasters, and more specifically wi...
Cílem této bakalářské práce je experimentálně ověřit, zda nekonečná hra o dvou hráčích s nulovým součtem [9, p.89] a s výplatními funkcemi, které jsou reprezentovány ve formě po částech afinních funkcí, má konečnou rovnováhu. Po částech afinní funkce definujeme přes doménu rozdělenou na sadu spojitých afinních funkcí. Tato doména je v experimentu o...
Dans cette thèse, nous étudions les problèmes d'optimisation des opérations de cross-docking dans le contexte de l'Internet Physique (PI). Ce nouveau concept a été introduit pour améliorer la flexibilité, la synchronisation et la durabilité des systèmes logistiques. Nous nous intéressons particulièrement à la planification des opérations dans plusi...
Published in Annals of science
At the beginning of the 13th century Fibonacci described the rules for making mixtures of all kinds, using the Hindu-Arabic system of arithmetic. His work was repeated in the early printed books of arithmetic, many of which contained chapters on 'alligation', as the subject became known. But the rules were expressed in words, so the subject often a...
In the Spy game played on a graph G, a single spy travels the vertices of G at speed s, while multiple slow guards strive to have, at all times, one of them within distance d of that spy. In order to determine the smallest number of guards necessary for this task, we analyze the game through a Linear Programming formulation and the fractional strat...
Motivated by the approximation of Martingale Optimal Transport problems, westudy sampling methods preserving the convex order for two probability measures$\mu$ and $\nu$ on $\mathbb{R}^d$, with $\nu$ dominating $\mu$. When$(X_i)_{1\le i\le I}$ (resp. $(Y_j)_{1\le j\le J}$) are i.i.d. according $\mu$(resp. $\nu$), the empirical measures $\mu_I$ and ...
Ce manuscrit aborde des problèmes d’ordonnancement et de transport avec une modélisation explicite du transport. De tels problèmes se modélisent communément sous forme de graphes qui sont évalués afin d’obtenir les dates de début des opérations.Les évaluations classiques des graphes sont effectuées au moyen d’algorithmes de plus long chemin permett...
This research helps a European retailer with its daily goods delivery operations. The challenge is the limited capacity of the transportation network in the Amsterdam area. This leads to very strict requirements for the delivery routing plans. In order to respond to this challenge both an analytical model and a numerical method are proposed. This m...
The Flight-to-Gate Assignment Problem (FGAP) covers the optimal assignment of flights, or rather the aircraft serving these flights, to the available aircraft stands. Existing FGAP models in literature do not consider airside and landside processes simultaneously. We propose a FGAP model with three specifications, where only airside constraints are...
