BUILDING A NON-TRIVIAL ECONOMIC AND MATHEMATICAL MODEL FOR MANAGEMENT OF PRODUCTION ORGANIZATIONS
In: Russian Economic Journal, Heft 1, S. 108-116
The author makes an attempt to generalize (combining, integrating) three linear programming problems known to the theory and practice of managing enterprises in the real sector of the economy. This refers to the «classic» production task, as well as the «organization of employment of means of production» and «placement of centers». The solution to the first problem is a vector of the number of final products produced, which is found taking into account resource constraints and the need to maximize profits. The second task is related to the placement of workers in pairs of different specialties on production lines, provided that none of the lines have duplicate profiles of workers. The third task is to select production points from a previously defined list of possible locations. An integrated goal setting that combines the three specified tasks (problems) into one complex production and transport task (problem) is relevant for any production organizations that intend to develop new markets and must optimize their production plans (for example, for enterprises of the timber processing industry that open new production facilities).
According to the author, the generalizing linear mixed-integer model can provide a solution to this complex problem and the optimization in question.