In: Cosnard, M.; et al.: Decentralized Systems. Proceedings of the IFIP WG 10.3 Working Conference, 1989, Lyon, France, pages 427-438. Amsterdam, Netherlands: North-Holland, 1990.
Abstract: Totally open systems of Markovian sequential processes are defined as a subclass of stochastic Petri nets. They can be viewed as a generalization of a subclass of queueing networks in which complex sequential servers can be synchronized according to some particular schemes. Structural analysis of these nets is considered for avoiding the state explosion problem of the embedded Markov chain. Some qualitative properties interesting from a performance point of view are presented. In particular, a potential ergodicity property is characterized by means of two structural properties: consistency and synchronic distance relation.
Keywords: steady-state performance; totally open system; Markovian sequential process; stochastic net; queueing network; Markov chain; (complex) sequential server; synchronic distance; ergodicity property.