Open queuing network with finite number of nodes, infinite number of servers in nodes, exponential distributions of service times and Poisson input flow is considered. A presence of infinite number of servers in the network nodes together with the statement that the cardinality of counting set of counting sets is counting set also allows to transform initial queuing network into queuing network of multiphase type The authors were partially supported by the Far Eastern Branch of Russian Academy Sciences, grant ”Far East” (project 15-I-4-001 o, subproject 15-I-4-030). 304 G.Sh. Tsitsiashvili, M.A. Osipova, A.S. Losev, Yu.N. Kharchenko so that in each node a customer may be served no more than once. It is proved that all flows of so transformed network in stationary regime are Poisson. Synergetic effects in this network are analysed using a replacement of infinite number of servers by finite number of servers. Possible generalizations of Jackson network permitting suggested analysis are considered. Mathematics Subject Classification: 60K25, 90B22
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