Simplex convexity with application to open-loop stochastic control in networks
Résumé
In this paper, we present the notion of multimodular triangulation under a new geometrical point of view. We also show the link with multimodular functions by a new proof of the convexity theorem. This is used to define a partial ordering compatible with multimodularity called the cone ordering. An application in admission control in queues is then presented.