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A polynomial algorithm for minDSC on a subclass of series Parallel graphs

Salim Achouri, Timothée Bossart, Alix Munier-Kordon (2009)

RAIRO - Operations Research

The aim of this paper is to show a polynomial algorithm for the problem minimum directed sumcut for a class of series parallel digraphs. The method uses the recursive structure of parallel compositions in order to define a dominating set of orders. Then, the optimal order is easily reached by minimizing the directed sumcut. It is also shown that this approach cannot be applied in two more general classes of series parallel digraphs.

A probabilistic method for certification of analytically redundant systems

Bin Hu, Peter Seiler (2015)

International Journal of Applied Mathematics and Computer Science

Analytical fault detection algorithms have the potential to reduce the size, power and weight of safety-critical aerospace systems. Analytical redundancy has been successfully applied in many non-safety critical applications. However, acceptance for aerospace applications will require new methods to rigorously certify the impact of such algorithms on the overall system reliability. This paper presents a theoretical method to assess the probabilistic performance for an analytically redundant system....

A production planning problem in FMS.

Laureano F. Escudero, Gloria Pérez Sáinz de Rozas (1987)

Qüestiió

We present in this work a hierarchical approach for generating alternatives for production planning in a generic floor shop problem within the environment of Flexible Manufacturing Systems (hereafter, FMS). Briefly, the problem can be stated as follows: Given the resources of a FMS and the characteristics of the parts to be produced along a planning horizon, obtain the loading ordering of the parts in the FMS, the execution ordering of the operations and the processing route of each part (i.e. the...

À propos de la signification des dépendances entre critères : quelle place et quels modes de prise en compte pour l'aide à la décision ?

Bernard Roy (2009)

RAIRO - Operations Research

Soit F une famille de critères conçue pour asseoir un modèle de préférences global sur un ensemble A d'actions potentielles (ou alternatives). On se place ici dans une perspective d'aide à la décision et dans l'hypothèse où des dépendances (encore appelées interactions) sont susceptibles d'exister entre certains des critères de F. On commence (cf. Sect. 2.1) par préciser ce que signifie l'affirmation "il existe des dépendances entre certains des critères de F" (Déf. 1). On s'intéresse ensuite...

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