MODELING SCENARIOS FOR RANDOM TIMES AVAILABILITY OF THE PRODUCTION SYSTEMS USING MARKOV CHAINS METHOD

Markov chains models are widely applied in industrial engineering. In this paper, Markov chains are used to achieve modeling scenarios for the maintenance parameters and performance evaluation of production systems. The Markov chains are built with the queuing theory and are well-known for their power of representation by given a small computing effort. This paper is focused on reveal some random behaviors with the help of modeling scenarios. Our contribution consists in the development of two modeling scenarios. In the first scenario, the availability of a system with the setup phase and scraps is calculated, then the machine behavior in a period of a month is evaluated using failure and repair rates generated by Linear Congruential Generator. In the second scenario, the availability of a system with the setup phase without scraps is designed and evaluated.