Analysis of a bulk service queue with unreliable server, multiple vacation, overloading and stand-by server Online publication date: Mon, 27-Apr-2020
by G. Ayyappan; S. Karpagam
International Journal of Mathematics in Operational Research (IJMOR), Vol. 16, No. 3, 2020
Abstract: We studied the behaviour of an M[X]/G(a, b)/1 queueing system with unreliable server, multiple vacation, overloading and stand-by server in this paper. The stand-by server is utilised only during main server's repair period. The probability generating function (PGF) of queue size and some important performance measures are derived. An extensive numerical result is illustrated.
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