Abstract

AbstractThe research of the queuing system with renewal arrival process, infinite number of n different types servers and arbitrary service time distribution is proposed. Expressions for the characteristic function of the number of busy servers for different types of customers in the system under the asymptotic condition that service time infinitely grows equivalently to each type of customers are derived.KeywordsQueuin systemRenewal arrival processDifferent types serversArbitrary service timeCharacteristic functionAsymptotic analysis

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