Розроблено нелінійну математичну модель руху монорейкового вагона спеціальної конструкції. Швидкість руху вагона у поздовжньому напрямку прийнято постійною. Враховано два ступеня вільності, що описують збурений рух у вертикально-поперечній площині: бокове переміщення і крен. Знайдено вираз динамічної реакції рейки на опорні колеса. Одержано необхідні і достатні умови стійкості прямолінійного руху.

Purpose. The work is devoted to the relevant issue of choosing a technical operation strategy for modernized shunting locomotives. To achieve this goal, the existing indicators evaluating the technical operation components were considered and a new evaluation criterion was proposed. Methodology. Applying a comprehensive approach to assessing the technical operation effectiveness, a new indicator, a complex technical operation coefficient, was developed. A mathematical model for determining the complex technical operation coefficient was developed. Findings. The modeling of the change in the scope of unplanned repairs based on the existing requirements to the value of the percentage of faulty diesel locomotive locomotives. The complex technical exploitation coefficient for different strategies of scheduled technical maintenance and repairs is calculated. Originality. Dependences are obtained for unplanned repairs depending on the percentage of faulty locomotives in and the number of sections at the disposal of the locomotive depot. A new criterion of estimation of systems of technical operation of locomotives is proposed and efficiency of its application is proved. Practical value. Modeling was carried out for two types of work (shunting and removal) and four maintenance and repair systems. Calculations of the complex technical operation coefficient for modernized shunting locomotives of the ЧМЕ3М series showed that the change in its value is 3,7 - 4,25 UAH/kWh. Thus, it is preferable to apply the fourth strategy from the considered maintenance and repair strategies. Due to its application, a rational technical operation system for modernized shunting locomotives of the ЧМЕ3М series with diesel engines Cat 3508 was choosen.