MARKOV MODELS IN THE ANALYSIS OF THE OPERATION PROCESS OF TRANSPORT MEANS

Operating systems of technical facilities require proper organization of logistic management processes and reliable logistics infrastructure, ensuring efficient and effective task implementation. Such systems are characterized by great diversity, but they correspond to a certain generalization, thus can be described by a mathematical model. This article proposes using Markov model to analyse the transport process. The study was conducted in a discrete time and in a continuous physical time. The analysis was based on data obtained from the company, regarding two different business periods. In the first stage, the choice of suppliers was chaotic and random. Next, an in-depth analysis was conducted and the best contractors were selected. The article presents how undertaken actions have translated into readiness of vehicles, and consequently, the system as a whole, using Markov processes. The aim was to present a method of describing system of technical facilities that effectively supports its diagnostics by forecasting logistic operational indicators. The proposed models are universal and allow for testing of any homogeneous and not-modernized operating systems. Most effectively they can be used in systems where readiness is the most important parameter, i.e. in military, police, health service, fire brigade and civil transport systems. The best results will be obtained for systems that allow accurate recording of the starting and completing tasks. Effective management of the operating processes is important for the management bodies and logistic component responsible for securing implemented activities. This ensures continuity of supply, its quality, reliability and systematic stock recovery. The model presented in this article has a great practical value, allowing identification and description of functioning systems, their evaluation and correction, and design of new operating systems.