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New Methods in Mathematical Management of Organization

Keywords: games theory , Savage , Simplex , assignation , minimization , Electre method

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Abstract:

In the first part, we shall unify the principal criterions (Wald, Hurwicz, Savage, Laplace) used in the process of choice the best alternative.After the general theory and few examples who illustrate the drawbacks of the existing criterions, we propose six new choices modalities from otherpoints of view. In the second part, we shall give a new solution for the optimal assignation of workers on jobs from the point of view of executiontotal time minimization using the Simplex algorithm which can solve the problem using computers instead the known Little’s solution. In the third,we shall give a new solution for the optimal assignation of workers on jobs from the point of view of minimization the maximal execution time usingthe simplex algorithm which can solve the problem using computers instead the known graphical solution. In part four, we shall give a new solutionfor the optimal assignation of workers on jobs using the Simplex algorithm which can solve the problem using computers instead the knowngraphical solution. In part five, we shall give a new algorithm instead of Johnson classical in the process of determination the sequence of piecesexecution on two installations without initial deliverance times.

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