Entity

Time filter

Source Type

Saint-Sauveur-en-Rue, France

Aubin J.-P.,Societe VIMADES Viabilite | Chen L.,Societe VIMADES Viabilite | Durand M.-H.,IRD Montpellier
Computational Management Science | Year: 2013

This study proposes a new framework to tackle the uncertainty that prevails in the exploitation of renewable resources. It deals with the question of how to guarantee both a minimum multi-species harvest and the renewal of resources when their evolutions are uncertain. The problem is twofold: to decentralize a global constraint (on a multi-species harvest) into local constraints (on the resources of the different species) and, then, to use a "tychastic" approach necessitating only the forecasts of the lowers bounds of the resource growth rates. This study, formulated as a "tychastic" regulated system with viability constraints, departs from stochastic approaches generally used to deal with uncertain situations. It provides the time dependent harvesting rule allowing to always comply with a minimum harvest objective and resources replenishment thresholds whatever happens and a tychastic measure of risk viability in terms of minimum resources initially required. To solve this problem involving global and local constraints a new method that decentralizes the constraints has been devised. An example is presented whose numerical results are obtained thanks to a dedicated software using mathematical and algorithmic tools of viability theory. © 2013 Springer-Verlag Berlin Heidelberg. Source


Aubin J.-P.,Societe VIMADES Viabilite | Chen L.,Societe VIMADES Viabilite | Durand M.-H.,IRD
Environmental Modeling and Assessment | Year: 2012

This study proposes a method of dynamic decentralization by constraints and its associated software. It can be used to allocate pollutant emissions rights among the different polluters such that they achieve both given global and local emission thresholds not to be transgressed. Knowing the maximum growth rates of polluting emissions of each polluter in the worst case, this method provides the rule of a dynamic allocation of pollutant emissions rights as well as the required initial emissions of each polluters assuring that, whatever the growth rates of the emissions below the maximum growth rates, the resulting emissions will be, both globally and locally, under their thresholds. These guaranteed initial emissions supply each polluter with a measure of risk insurance. This problem, formulated as a "tychastic" regulated system with viability constraints, is solved with mathematical and algorithmic tools of viability theory and numerical results obtained by a dedicated software are presented. © 2011 Springer Science+Business Media B.V. Source

Discover hidden collaborations