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Stochastic model of evolutionary and immunological multi-agent systems: parallel execution of local actions. (English) Zbl 1214.68410

Summary: The refined model for the biologically inspired agent-based computation systems EMAS and iEMAS conforming to the BDI standard is presented. Moreover, their evolution is expressed in the form of the stationary Markov chains. This paper generalizes the results obtained by A. Byrski and R. Schaefer [Fundam. Inform. 95, No. 2–3, 263–285 (2009; Zbl 1209.68557)] to a strongly desired case in which some agents’ actions can be executed in parallel. In order to find the Markov transition rule, the precise synchronization scheme was introduced, which allows to establish the stepwise stochastic evolution of the system. The crucial feature which allows to compute the probability transition function in case of parallel execution of local actions is the commutativity of their transition operators. Some abstract conditions expressing such a commutativity which allow to classify the agents’ actions as local or global are formulated and verified in a very simple way. The above-mentioned Markov model constitutes the basis of the asymptotic analysis of EMAS and iEMAS necessary to evaluate their search possibilities and efficiency.

MSC:

68T42 Agent technology and artificial intelligence

Citations:

Zbl 1209.68557
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