Fuzzy Markovian decision processes: Application to queueing systems

In this paper, we calculate the best policy to be implemented regarding publicity decisions in a queueing system by using Markovian decision processes with fuzzy states. To this end, first we have defined the theory linking Markov chains with non-fuzzy states with Markov chains with fuzzy states, and we have calculated the Markov chain probabilities with fuzzy states using the conditional probability of the fuzzy event ˜Aj given the fuzzy event ˜Ai. Next, we illustrate by an example the theoretical results previously obtained. In the example, we apply the linear programming solution to the Markovian decision processes.