The Compositional Construction of Markov Processes

We describe an algebra for composing automata in which the actions have probabilities. We illustrate by showing how to calculate the probability of reaching deadlock in k steps in a model of the classical Dining Philosopher problem, and show, using the Perron-Frobenius Theorem, that this probability tends to 1 as k tends to infinity.

• Type: Journal
• Year: 2011
• Where: ACS
• Authors: Luisa de Francesco Albasini, Nicoletta Sabadini, Robert F. C. Walters
• Keywords: ACS 2011, Dining Philosopher Problem, Distributed And Parallel Computing, Perron-Frobenius Theorem, Probabilities