Philippe Chrétienne

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This paper considers the problem of aggregating several multicast sessions. A multicast session is defined as a subset of clients requiring the same information. Besides, each client can require several multicast sessions. A telecommunication network cannot manage many multicast sessions at the same time. It is hence necessary to group the sessions into a(More)
This paper deals with the problem of ,nding a minimum cost schedule for a set of dependent activities when a convex cost function is attached to the starting time of each activity. A ,rst optimality necessary and su/cient condition bearing on the head and tail blocks of a schedule is ,rst established. A second such condition that uses the spanning active(More)
The purpose of this paper is to study the latest schedule existence, calculation and properties of a basic cyclic scheduling problem with deadlines. First it is shown that, in the general case, a latest schedule exists but may be difficult to compute. Then we focus on a special case we call the optimal cyclic production problem. We derive an upper bound for(More)
This paper considers the problem of scheduling a tree-structured task system in a distributed environment with the goal of minimizing the makespan. Interprocessor communication delays are taken into account and task duplication is allowed. Furthermore, it is assumed that the number of processors is unlimited. It is shown that there is a polynomial-time(More)