Mx [M1] QUEUE WITH WORKING VACATION
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Date
2010
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Abstract
In this paper a batch arrival Nf/M/I queue with
exponentially distributed multiple and single working
v jca tio n s is analyzed.The queuing system is modeled as
a two-dimensional Markov-chain to obtain the Chapman-
Ko.'mogrov equations. The probability generating function
(p!jf) of the steady state system size probabilities is derived
for the model and the expected system size probabilities
are presented in closed form. Further various performance
measures including the expected queue length and their
graohical representations are presented. Special cases are
also discussed.