Compromise Solution of Conflict Situations in the Problem of Optimal Control in Decision Making under the Complex Situational Conditions

UDC 519.8(045) DOI:10.18372/1990-5548.60.13818
N. I. Aralova, O. M. Klyuchko, V. I. Mashkin, I. V. Mashkina. Compromise Solution of Conflict Situations in the Problem of Optimal Control in Decision Making under the Complex Situational Conditions, N 2(60) – Kyiv: NAU, 2019. – pp. 77–83.
One of the most important directions of the research in medicine of labor is the development of methodology and methods for the estimation and predicting of the functional reserves of organisms of decision-makers, whose professional activity takes place under the extreme conditions, in particular, with the joint action of hypoxic hypoxia and conditions of complex situational stress. In present article it was proposed to apply mathematical model of the functional system of respiration for the simulation conflict-controlled processes that appear during the self-organization of respiratory system under the conditions of complex situational stress in process of decisions’ making. The mathematical model of mass transfer and mass exchange of respiratory gases in human organism is represented as a system of ordinary differential equations, which in the dynamics of the respiratory cycle describe the changes in the stresses of oxygen and carbon dioxide at all stages of its path in human organism. The solution of this problem, taking into account both intra- systemic as well as inter systemic mechanisms, allows to predict the optimal values of active control parameters – ventilation, volume velocities of systemic and organ blood circuits. The results of numerical experiments were presented. Their purpose was to study the behavior of quality control functional for hypoxic and hypercapnic regulation stimuli in difficult situational conditions during decision making and to find optimal control parameters when seeking a compromise solution of conflict situation that appear between control elements and executive elements of self-regulation. Numerical simulation has demonstrated that during the load compensation in difficult situational conditions, during decision making the key role belongs to quality control functional of the hypercapnic stimulus and to behavior of quality functional, which is minimized; the change in the parameters of ventilation influences greatly. The optimum control influences were determined at the simulation of load compensation on the brain tissues for averaged person. Further developments can turn this model into a rather simple and reliable research tool and have both theoretical and practical value.
Index Terms—Decision-makers; difficult situational conditions; hypoxic regulation stimulus; hypercapnic regulation stimulus; cumulative effect of stimuli.
References: 12 names.