TY  - JOUR
T1  - Optimization of Manufacturing Processes and of Systems Under the
Conditions of Uncertainty
AU - G. Madera, Alexander 
JO  - Journal of Engineering and Applied Sciences
VL  - 15
IS  - 2
SP  - 548
EP  - 558
PY  - 2020
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2020.548.558
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2020.548.558
KW  - criterion
KW  -stochastic
KW  -interval
KW  -optimization
KW  -mathematical model
KW  -uncertainty
KW  -process
KW  -manufacturing system
KW  -Manufacturing process
KW  -constraints
KW  -opportunities
KW  -risks
AB  - This study is dedicated to optimization of manufacturing processes and manufacturing systems
wherein interrelated activities are conducted in order to achieve the united common goal of converting the input
flows of material, informational and financial resources into output ones valuable for the consumer. The process
outcomes are a priori unknown and are determined by uncertain factors such as the future demand, risks and
opportunities, the future states of the economy and finances, the market conjuncture, the prices of energy
carriers and many others. In order to design the processes and process systems adequately, their mathematical
optimization models must take into account the uncertainty of all the factors that exert influence on the course
and outcomes of the processes in future. For this purpose, the study has devised a mathematical probabilistic
optimization model of a process and process system with taking into account the uncertainty of the future values
of the factors and the states of the (competitive, political, economic, financial, conjunctural, etc.) environment.
A model in the form of an intervally stochastic random value with the arbitrary unimodal distribution of its
values within their change interval has been accepted as the mathematical model of the factor uncertainty. The
intervally stochastic model of the uncertainty is adequate for the real uncertainty and conforms to the agent’s
psychology when making the decision and quantitatively estimating the uncertainties. The mathematical model
devised by this study describes the processes conducted both in the separate manufacturing, ensuring, servicing
links and in the process system in whole. To ensure the possibility of numerically determining the optimal
parameter values for a process and process system, the probabilistic mathematical optimization model is
reduced to a determinate mathematical optimization model, the solution of which can be effortlessly obtained
by means of existing software intended for the solution of mathematical programming problems. The
application of the devised mathematical models has been exemplified by optimization of a particular production
process that includes ensuring and logistic processes, too. This study considers influence of the uncertain
factors, such as investments into the process, future prices of the production factors and energy carriers,
consumer’s demand, price of the end product, as well as future actualization of the possible opportunities and
risks. It has been shown that the results of modelling and optimizing the processes under the uncertainty
conditions are intervally stochastic and must be represented in the form of the intervals of their values
depending on the probabilities of actualization of the risks and opportunities.
ER  -