Розв’язання багатокритеріальної задачі оптимізації системи автосервісу на прикладі «АНТ-АВТО-СЕРВІС», м. Черкаси

Abstract

Досліджується проблема визначення раціональних режимів функціонування системи автосервісу на макрорівні. Здійснено математичну постановку задачі оптимізації для вирішення даної проблеми, що дозволило визначити показники соціально-економічної ефективності до та після оптимізації підприємства та розрахувати критерій доцільності її впровадження на прикладі «АНТ-АВТО-СЕРВІС», м. Черкаси. Результати дослідження пропонується застосовувати в процесі реорганізації систем автосервісу на макрорівні.

The paper investigates the problem of determining the rational modes of operation of the car service system at the macro level in the process of solving the multicriteria problem of optimizing the technological processes of the system to achieve the maximum level of socio-economic efficiency of the car service and minimum losses of customers taking into account the characteristics and limitations of its functional elements. Mathematical dependences have been developed to calculate the efficiency function of the car service system in general, which takes into account nineteen morphological features of the system and the annual costs of customers who are consumers of the offered car service. In order to solve this problem, a mathematical formulation and implementation of the problem of nonlinear programming, multicriteria model of which takes into account constraints imposed on the seven basic parameters. A method for determining the feasibility of implementing optimization measures has been developed and a block diagram of the algorithm according to its stages has been constructed. Indicators of socio-economic efficiency before and after optimization of technological processes are determined and the criterion of expediency of realization of optimization programs on the example of specialized system of car service "ANT-AUTO-SERVICE", Cherkasy is calculated. During the calculations of the predicted values of socio-economic efficiency, the values for the previous periods were used and the optimal values of the system parameters were calculated. The results of testing indicate the feasibility of optimizing the work of this enterprise. It is projected that the annual efficiency of the specialized car service system will increase by UAH 2,486,465. The results of the study can be used in the decision-making process on the feasibility of optimizing the car service system at the macro level. Further research will focus on the formulation and implementation of mathematical models for the optimization of car service systems at the micro and meta levels.