The Alienor method has been elaborated at thebeginning of the 1980s by Yves Cherruault and Arthur Guillez (1983). The following people have also greatly contributedto the improvement of this new optimization method: Blaise Somé, Gaspar Mora,Balira Konfé, Jean Claude Mazza and Esther Claudine Bityé Mvondo. The basicidea consists in using a reducing transformation allowing us to simplify amultivariable optimization problem to a new optimization problem according to asingle variable. The rational gestion of enterprises leads generallyto the use of Operational Research, often called management science. The termOperational Research means a scientific approach to decision making, that seeksoptimization in a system. Consequently, it is better to take the rightdecisions. Otherwise, fatal consequences can occur instantaneously 1. Generally, we have to maximize the global profitmargin, taking into account some constraints. For instance, in an integerprogramming problem, some or all the variables are required to be nonnegativeintegers. In this paper, we present new reducing transformations for globaloptimization in integer, binary and mixed variables as well as the applicationsin Boolean algebra by solving a Boolean Equation of 21 variables. Theapplications in Operational Research are presented on various examples,resolved by using the tabulator Excel of Microsoft.
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