Mathematical models of production systems development based on optimal aggregation methodology

2017

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DOI 10.1117/12.2281222
Data confidence 70 medium
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Abstract

The theoretical fundamentals and principles of development models and methods of the production systems development processes optimization, based on optimal aggregation methodology are proposed. The new approach is a generalization and development of the methods of maximum and dynamic programming principle. The characteristic feature of the given approach from its analogues – decomposition of multidimensional optimization problem in one-dimensional tasks system. On the base of resource links graph analysis between the elements of production systems binary tree of optimal aggregation is built. As a result, the multidimensional nonlinear model of the production system is replaced with the equivalent by input-output one-dimensional element, for which variation problem of the optimal development with integral criterion of the first kind is solved.