In order to provide to his patients a quality medical service at lower cost, the General Administration Department of a University Hospital wants to maintain the number of the allocated nurses as low as possible while guaranteeing a satisfying level of health care. The nurses’ redeployment is an optimization problem that falls under the category of integer linear programming problems whose graphical model is a digraph. The mathematical model is composed of an objective function of several interdependent variables to be obtained and some equality and side constraints that the General Administration Department should not violate in order to achieve satisfaction. The solution of this kind of problems rests on the use of an iterative method known as the simplex algorithm.

La maîtrise des phénomènes physiques ayant lieu lors des processus transitoires dans les machines électriques, l’évaluation qualitative des variations des courants, des tensions, des couples, la prédiction de la conduite de la machine dans de tels régimes comme la perte ou l’augmentation brusque de charge, le fonctionnement en régime asynchrone des machines synchrones, etc…, sont nécessaires pour une conception rationnelle et fiable des machines électriques pouvant supporter des situations d’avarie quelque soit le régime de fonctionnement. 

This paper created a new research space in the faults modeling and detection area of the industrial systems, especially photovoltaic generators. It reserved for modeling and detection the hybrid defects, like the presence of cells open- and short-circuit within the same photovoltaic cells group. For a small investment, the new algorithm created a new platform. It exposed a display screen of the database, which presented the power of the PV module production in each period. The display screen allows real-time monitoring of the PV module production throughout the year, and detecting its anomalies.