Accesses to a data base with non uniform repartition: Generalisation of a probabilistic approach

The study of transactions processing systems providing access to a data base is based on the modelisation of the control policies for concurrent accesses. A hierarchical demarch was described by D. Potier and P. Leblanc. In a precedent paper, the authors proposed a probabilistic approach in case of one part of the data base is more frequently accessed than the other. This paper proposes a generalisation of the approach to more than two partitions and presents numerical results.