Abstract
A class of systems with several non–ordinary Poisson input flows is studied. It is assumed that the flows are conflicting which means they cannot be served simultaneously. A service device carries out control function also. A probabilistic model for the class of the systems is constructed. Easily verifiable conditions of stationarity are determined analytically for two control algorithms: a cyclic algorithm for the homogeneous flows and a feedback algorithm with threshold priority and prolongations for the flows that differs in priority and intensity. A computer simulation model is described. Some examples of determining the quasi-optimal values of the control system parameters are given.
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Rachinskaya, M., Fedotkin, M. (2017). Stationarity Conditions for the Control Systems that Provide Service to the Conflicting Batch Poisson Flows. In: Rykov, V., Singpurwalla, N., Zubkov, A. (eds) Analytical and Computational Methods in Probability Theory. ACMPT 2017. Lecture Notes in Computer Science(), vol 10684. Springer, Cham. https://doi.org/10.1007/978-3-319-71504-9_5
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DOI: https://doi.org/10.1007/978-3-319-71504-9_5
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