A stochastic model of changes in the operational states of means of transport

In the article, application of a Markov process for modelling the process of transport means operational state changes whose duration times can be estimated by Erlang distribution is presented. The research object is a system of city bus transport operation, used in a selected agglomeration. A homogenous Markov process was assumed a mathematical model of the process of transport means operation. Transformation of a stochastic process, for which distributions of random variables denoting duration times of the states are Erlang distributions, into a stochastic process characterized by exponential distribution of the state duration times, was performed at the costs of the state space extension. The use of a homogeneous Markov process for mathematical modelling of the operation process was dictated by the fact that the process reflects adequately, from the point of view of the research goal, the real operation process. In order to illustrate the process, a hypothetical, simplified calculation example was provided. Reliability of technical objects needs to be maintained at appropriate level, which is the responsibility of the repair and maintenance subsystem ensuring. This subsystem consists of two subsystems. The main tasks of the mobile emergency teams include providing vehicles, that is, buses that are outside the depot with the serviceability state as quickly as possible or hauling damaged buses to technical service stations.