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Direct method for calculating characteristics of queueing systems with “warming up” at the beginning of bulk service and Poisson input flow. (English. Ukrainian original) Zbl 0943.60095

Theory Probab. Math. Stat. 52, 141-145 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 132-136 (1995).
A new method of analysis of queueing system with Poisson input is proposed. This method is applied to the analysis of systems with “warming up” and group service. Recurrence relation for the generator function of probabilities of states are investigated.

MSC:

60K25 Queueing theory (aspects of probability theory)
90B22 Queues and service in operations research
68M20 Performance evaluation, queueing, and scheduling in the context of computer systems
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