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Random perturbation of the variable metric method for unconstrained nonsmooth nonconvex optimization

Abdelkrim El Mouatasim, Rachid Ellaia, José Souza de Cursi (2006)

International Journal of Applied Mathematics and Computer Science

We consider the global optimization of a nonsmooth (nondifferentiable) nonconvex real function. We introduce a variable metric descent method adapted to nonsmooth situations, which is modified by the incorporation of suitable random perturbations. Convergence to a global minimum is established and a simple method for the generation of suitable perturbations is introduced. An algorithm is proposed and numerical results are presented, showing that the method is computationally effective and stable....

Rangements BBTOPSIS fondés sur des intervalles de proximités relatives avec qualification des préférences

Abdelwaheb Rebaï, Jean-Marc Martel (2010)

RAIRO - Operations Research

In this work we propose a ranking procedure. This procedure uses an ordinal information about the criterion weights and a non-cardinal or mixed information for the potential actions evaluation. The advantage of this procedure is that it uses the linear programming software packages to compute the intervals of relative proximities from where the rankings are obtained.

Reconfigurable control design with integration of a reference governor and reliability indicators

Philippe Weber, Boumedyen Boussaid, Ahmed Khelassi, Christophe Aubrun (2012)

International Journal of Applied Mathematics and Computer Science

A new approach to manage actuator redundancy in the presence of faults is proposed based on reliability indicators and a reference governor. The aim is to preserve the health of the actuators and the availability of the system both in the nominal behavior and in the presence of actuator faults. The use of reference governor control allocation is a solution to distribute the control efforts among a redundant set of actuators. In a degraded situation, a reconfigured control allocation strategy is...

Reconfigurable Dynamic Cellular Manufacturing System: A New Bi-Objective Mathematical Model

Masoud Rabbani, Mehran Samavati, Mohammad Sadegh Ziaee, Hamed Rafiei (2014)

RAIRO - Operations Research - Recherche Opérationnelle

Dynamic Cell Formation Problem (DCFP) seeks to cope with variation in part mix and demands using machine relocation, replication, and removing; whilst from practical point of view it is too hard to move machines between cells or invest on machine replication. To cope with this deficiency, this paper addresses Reconfigurable Dynamic Cell Formation Problem (RDCFP) in which machine modification is conducted instead of their relocation or replication in order to enhance machine capabilities to process...

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