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A framework for modelling performance of agent design patterns (ADPs) as Petri net (PN) models is presented. We explore the Meeting ADP in IBM's Aglets. The framework is extendable to other ADPs, and user specified control conditions. Development of the PN will allow a programmer/systems designer to calculate bounds on performance for the Meeting ADP, and enable better resource management in a distributed computing environment. Our PN model can cater for multiple mobile and stationary agents, and also for stochastic variables such as network latency and port contention at a host.