Analysis of the military vehicles operating process by means of Markov processes

The article presents the method of analysing the operating process of Star military vehicles in their readiness aspect. The subject of research was the Military Economic Unit, recently created in the Polish Army. Markov processes were applied. A simple 5-state model was built, and the research was made in a discrete, as well as continuous time. The limit probabilities, both for the chain and the time, were estimated. Thanks to Chapman-Kołomogorov-Smoluchowski equations, the long-term projections could be estimated. To ensure of operating processes, correctly object’s permissible transitions from the previous state to the next one were chosen. It was defined based on technical documentation and owned operational knowledge on the considered operating process. The mathematical description of a set of permissible transitions includes a matrix of permissible Si → Sj transitions from the previous state Si (lines) to the next one. The five-state system has possible and forbidden transitions are presented. Graph of permissible transitions for the five-state operation model usage, standby, maintenance, repair, standstill in repair; correlogram for the average duration of the state; evolution of the probability of the Star cars’ staying in the state of usage, standby, maintenance, repair, standstill in repair are presented in the article.