In general semimodules, we say that the image of a linear operator B and the kernel of a linear operator C are direct factors if every equivalence class modulo C crosses the image of B at a uniqueâ€¦ (More)

We consider the problem of toll setting that faces the operator of a privately owned transportation network in order to maximize its profit. As the users of the network rationally react to theâ€¦ (More)

In maxplus algebra, linear projectors on an image of a morphism B parallel to the kernel of another morphism C can be built under transversality conditions of the two morphisms. The existence of aâ€¦ (More)

The article describes a stochastic formal language adapted to the botanical concepts underlying the GreenLab organogenesis model. It is based on stochastic L-systems (parallel rewriting grammars) andâ€¦ (More)

We present a method for solving bilevel revenue management problem on networks. In this problem, a network manager seeks to set link prices optimally on a network so as to maximize revenue, where theâ€¦ (More)

The purpose of this paper is to present a simplified model of the current and temperature dynamics of tokamak plasma. It is focused on the diffusion behaviors and relates the profiles of physicalâ€¦ (More)

We show that car traffic on a town can be modeled using a Petri net extension where arcs have negative weights. The corresponding minplus dynamics is not linear but homogeneous of degree one.â€¦ (More)