Abstract

ABSTRACTThis article concentrates on investigating decay properties of Markovian bulk-arriving queues with c-servers which stop immediately after hitting the state zero. The exact value of the decay parameter λC for the case B′c(1) > 0 is first given. Then, by using the generating functions of the corresponding q-matrix, a test function Fλ(s) is constructed. The exact value of the decay parameter λC for the case B′c(1) ⩽ 0 is then obtained according to the sign of .

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