Using Probabilistic Model Checking and Simulation for Designing Self-Organizing Systems

The attention to self-organization as a feasible metaphor for dealing with the growing complexity of today's software system is constantly growing. In particular, by adopting self-organization, systems can adapt to highly dynamic environments by local interaction among system's components. As a consequence, the global behavior of the system can be regarded as an emergent property since it appears by a process emerging from component local interactions. The corresponding system dynamics is usually non-linear and complex so that the adoption of simulation and verification techniques in the early design stage becomes essential to carry out an effective design. Accordingly, in this paper we discuss a hybrid approach relying on stochastic simulation and probabilistic model checking and show a possible application on a problem called collective sort taken as a case study. To this end, the PRISM probabilistic model checker is adopted as a concrete tool for analyzing emergent properties of collective sort. The obtained results are presented and discussed.