MATHEMATICAL MODELING OF CAR TUNING

The paper considers the issues and prospects of modernization of cars within the operation process, proves the necessity of car tuning process simulation. The relevance of the topic is determined by the importance of improvement of energy efficiency, resource economy and environment protection when operating vehicles. Car modernization during the tuning process is one of the solutions of task complex.

The authors give the review of key factors that should be taken into account when modeling the process of vehicles modernization based on the example of passenger car tuning. Tuning is described as one of the types of technological impact on a car during its operation. The authors proposed a concept of the car tuning mathematical model creation taking into account the issues of ecological properties and safety of a car. Car basic properties formalization is implemented using the qualimetry techniques based on a properties tree.

The paper analyzes various approaches to the selection of optimality principle for multicriterion problems. In the developed mathematical model, the car properties vector is assessed according to many criteria at the same time using the Pareto-optimality principle. To find the optimal set, the methods of its contraction are used: setting the criteria lower bounds, suboptimization, lexicographic optimization, and generalized criterion calculation. To assess tuning result, the authors propose applying a generalized criterion representing the subtests weighted sum.

The developed mathematical model shows the evaluation of car changes in the process of tuning according to various criteria and allows calculating tuning efficiency both in terms of consumer properties and the enhanced ecological properties, energy efficiency and safety of a car. The software developed on the base of proposed mathematical model will give an opportunity to make a preliminary analysis of possible activities on a car modernization.