Galois connections (or residuated mapping) are of growing interest in various domains related with or relevant from Classification. Among their many uses, we select some topics related with modelization and aggregation of dissimilarities and conceptual classification. We partially revist them in...

In this paper we present several "infeasible-start" path-following and potential-reduction primal-dual interior-point methods for non-linear conic problems. These methods try to find a recession direction of the feasible set of a self-dual homogeneous primal-dual problem.

A dual problem for convex generalized fractional programs with no duality gap is presented and it is shown how this dual program can be efficiently solved using a parametric approach. The resulting algorithm can be seen as "dual" to the Dinkelbach-type algorithm for generalized fractional...

This paper adapts to the case of impulse and hybrid control systems the results obtained bu Aubin, Bicchi and Pancanti on "detectability" of solutions of usual control systems.

For a discrete-time infinite-horizon linear-quadratic optimal control problem, under the assumption of the nonemptyness of the set of the asmissible process, we prove the existence and the uniqueness of an optimal process, we prove that the value-function is a quadratic function of the initial...

Parallel machine scheduling problems concern the scheduling of "n" jobs on "m" machines to minimize some function of the job completion time. If preemption is not allowed, then most problems are not only NP-hard, but also very hard from a practical point of view. In this paper, we show that...

We consider the problem of scheduling a set of n jobs on m identical parallel machines so as to minimize the weighted sum of job completion times.

We analyze the process of a two cut generation scheme in the analytic center cutting plane method. We propose an optimal restoration when the two cuts are central.

A new concept is proposed for linking algebraic modeling languages and the structure exploiting solver.