Devising a model of optimal control over the logistics system under uncertainty
DOI:
https://doi.org/10.15587/1729-4061.2016.60838Keywords:
optimization criterion, parametric model, the normalized values of profit, terminal control, two-level optimal control, logistics system, uncertainty, multi-factorial assessment, optimistic criterion, mathematical identification modelsAbstract
An objective of the study is to improve the quality of decisions via formalizing each specific optimization problem in the analysis of the logistics system under uncertainty. In multi-criterion conditions, the most promising approach to the assessment problem is the formation of a generalized scalar multi-factor assessment of Р (х) on a set of particular criteria , which requires solving the problem of a structural and parametric identification of the models of formation – P1 (x).
The principal peculiarity of this problem stems from the fact that the assessment procedure is an intellectual process of the decision maker (DM) or experts, i. e. it is necessary to identify the model of intellectual activity. The baseline data of any task for optimization of the logistics system (OLS) consist of uncertain and determined values of various types. The study has determined optimization criteria, controlled variables, and their limitations, which allowed devising new mathematical identification models and optimization techniques. The devised algorithm allows determining the necessary conditions for optimal solutions. The formulated theorem specifies the conditions for obtaining an optimal solution to optimize the tracking mode of terminal control under uncertainty. Its peculiar feature is the choice of three initial prerequisites, namely: parametric models, an optimality criterion, and optimal solutions. The obtained results of a two-stage optimization can serve as a basis for constructing specific optimal control systems that use two modes, such as “a search for the optimum (reference) value of the controlled variable” and “tracking of the optimum value.” They also allow scientific justifying, posing and solving the problem of identification of a two-level model of optimal control over the volume and cost of the logistics system in accordance with the two most important criteria for practical application: the criterion of a maximum profit and the criterion of a minimum cost.
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Copyright (c) 2016 Александр Александрович Железняк, Инна Викторовна Антипенко, Владимир Алексеевич Доровской, Ольга Витальевна Бабина, Владислав Юрьевич Будник
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