Solution of the Number of Servers Pivot on Batch Arrivals

ABSTRACT

In this paper, investigate the steady state behaviour of a queueing system by assuming that the numbers of server’s change depending on the certain queue length. In the system arrivals occurs in batches. In the case of two servers, it is assumed that the service abilities of additional servers are differ. Whenever the queue length in front of the first regular server reaches a specific length then additional server will be added instantly. The mean queue lengths of customers are derived explicitly.

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Updated: June 26, 2023 — 2:44 am