Simulation output analysis for local area computer networks
Acta Informatica
Symmetric stochastic Petri nets
IBM Journal of Research and Development
Real-time hierarchically distributed processing network interaction simulation
ANSS '88 Proceedings of the 21st annual symposium on Simulation
Stochastic Petri Net Representation of Discrete Event Simulations
IEEE Transactions on Software Engineering
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Local area computer network simulations are inherently non-Markovian in that the underlying stochastic process cannot be modeled as a Markov chain with countable state space. We restrict attention to local network simulations whose underlying stochastic process can be represented as a generalized semi-Markov process (GSMP). Using "new better than used" distributional assumptions and sample path properties of the GSMP, we provide a "geometric trials" criterion for recurrence in this setting. We also provide conditions which ensure that a GSMP is a regenerative process and that the expected time between regeneration points is finite. Steady-state estimation procedures for ring and bus network simulations follow from these results.