Article citationsMore >>

Mashunin Yu. K. Control Theory. The mathematical apparatus of management of the economy. Logos. Moscow. 2013, 448 p. (in Russian).

has been cited by the following article:

Article

Simulation and Optimal Decision Making the Design of Technical Systems (2. The Decision with a Criterion Priority)

1Eastern Federal University, Vladivostok, Russia


American Journal of Modeling and Optimization. 2016, Vol. 4 No. 2, 51-66
DOI: 10.12691/ajmo-4-2-3
Copyright © 2016 Science and Education Publishing

Cite this paper:
Yury K. Mashunin, Konstantin Yu. Mashunin. Simulation and Optimal Decision Making the Design of Technical Systems (2. The Decision with a Criterion Priority). American Journal of Modeling and Optimization. 2016; 4(2):51-66. doi: 10.12691/ajmo-4-2-3.

Correspondence to: Konstantin  Yu. Mashunin, Eastern Federal University, Vladivostok, Russia. Email: Mashunin@mail.ru

Abstract

The paper presents a methodology for modeling and choice of optimum parameters of technical systems with a priority (characteristic) of criterion. It is further development of works of authors in which the problem of decision-making was solved with equivalent criteria. The model is created as a vector problem of mathematical programming. Criteria (characteristics) are formed in the conditions of definiteness (functional dependence of each characteristic and restrictions on parameters is known) and in the conditions of uncertainty (there is no sufficient information on functional dependence of each characteristic on parameters). In the constructed mathematical model of technical system criteria in the conditions of uncertainty will be transformed to definiteness conditions. We have submitted the theory and methods of vector optimization. The vector problem is solved on the basis of normalization of criteria and the principle of the guaranteed result at the set priority. The methodology of research, modeling and the system choice of optimum parameters at design of technical systems is illustrated on a numerical example of model of technical system, in the form of a vector problem of nonlinear programming with five criteria and the set priority of one of them.

Keywords