A theory of cumulated fuel consumption in process ofvehicle operation is described. The method of creation the mathematical model and procedure of determination of model variables is shown. The mainfeatures of cumulated fuel consumption are painted attention. li is shown that the theory of cumulated fuel consumption can be use to description of the fuel consumption from beginning the exploitation of vehicles and also for the situation when the vehicle are in exploitation from any time and further fuel consumption are unknown. An example of utilisation of elaborated theory for assessment of operation of passenger car is also presented. It has been shown that applying the theory of cumulated fuel consumption, the course of such consumption can be accurately described also in this case. This proposal can be formulated in spite of making some simplifications. This is because the unknown value of the accumulated fuel before start the time of observation operation will be determined using the average (from the average) fuel consumption. This simplification greatly facilitates the flow of the calculations and it seems does not offend errors in the calculations. Method of determining the average is discussed in the article. It appears that such treatment may be justified by the fact that the mistake is, in principle, systematic error. Very high coefficients of mathematical model to fit the measured data are very interesting. Such regularity was observed during researches in buses transport [l], intercity buses, and the fleets of various vehicles (the results of researches are not yet published).The introduction of the theory of cumulated fuel consumption as one of the important parameters to assess the operation of the vehicle or vehicles may also be useful in exploitation researches. At present times the researches in which the vehicles are already in service and the engine control mops are tuned (chip tuning), are made. A good performance of these changes is often observed on chassis dyno but that is not properly sanctioned in natural exploitation. Experimentation with such issue is underway and will be the subject of future analysis (and publications).
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