Abstract
Modern telecommunication and data processing systems perform the processing of calls or data packages in several stages. These processes are simulated and investigated by using tandem queues or networks. The following case of two stages is considered in the paper. There exist N independent Poisson flows of elementary messages. The intensity of the i-th flow equals λi > 0. Based on the incoming elementary messages, a complex message is formed according to the following rules. (1) A complex message does not contain more than hi ≥ 1 elementary messages of the i-th flow. (2) The generation of a complex message ends if the number of elementary messages in some flow reaches the maximal value. The complex message that has been generated is sent to a one-line queueing system. Such a system has not been previously discussed in the literature. Different indices of the described process are calculated, such as the distribution of elementary message generation time, the distribution of the queue length for complex messages, etc. The obtained results conform to airport control systems.
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