Abstract
The vehicle exploitation system, consisting of statistically identical objects that perform intervention tasks, not subject to systematic changes, can be modelled as a stationary stochastic process. Such a model allows to determine the probabilistic indicators of current and boundary readiness of the system. This article presents the use of the semi-Markov process, based on three operating states: operation, ready-to-be-used and repair, to study a transport system consisting of special vehicles. On the example of a sample consisting of police patrol cars, experimental studies of the intensity of fleet utilization, time of failure-free operation of vehicles were carried out, and it was demonstrated that the examined transport system is characterized by a satisfactory, stationary readiness coefficient. The developmental possibilities of the presented modelling method were emphasized.
Highlights
The process of commercial vehicle exploitation can be analysed both in road transport companies, which operate in market conditions, as well as in rescue services and other services responsible for national security, such as the fire brigade, army, police, ambulance service
The conclusion from the preliminary analyses was the lack of possibility to use the Markov model and the assumption to carry out analyses with the use of the semi-Markov model, for which the form of distributions may be arbitrary
The use of semi-Markov processes allows to determine the boundary readiness factor and to carry out the analysis of the duration times of distinguished operating states of special vehicles. It enables an objective assessment of the intensity of vehicle operation and the time of its failure-free operation
Summary
The process of commercial vehicle exploitation can be analysed both in road transport companies, which operate in market conditions, as well as in rescue services and other services responsible for national security, such as the fire brigade, army, police, ambulance service. The literature review shows that the Markov models are a good tool to assess the readiness of both whole systems and individual objects [5, 19] They have their own requirements and limitations. It is more difficult to estimate parameters in the case of semi-Markov models, which is why they are less popular They have less restrictive requirements concerning the form of distributions of studied variables (they can be arbitrary), they are proposed in this article as a tool for police car fleet assessment. The intention of the authors was to emphasize that the three-state exploitation model may be a useful and sufficient tool to assess the readiness of special vehicles The application of such a model does not require complicated calculations as it is the case with complex multi-state models and can be used in the current practice of fleet management
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