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- W2017195677 abstract "Abstract This paper presents an analysis of overflow processes from a PH 1 + PH 2 /M/ S / K queue having two independent phase type renewal input streams. Both the superposed overflow process and individual overflow processes for the PH 1 - and PH 2 -streams are analyzed using first passage time distributions for the number of customers in the system. Each overflow process is characterized as a Markov renewal process. The n th moment of the number of customers in an infinite server group to which these overflows have been offered is derived using a theory for the MR/M/∞ queue with a Markov renewal input. The numerical examples for means and variance-to-mean ratios (peakednesses) of the individual overflow streams are given for an H 2 + H 2 / M / S / S queue with interrupted Poisson inputs, which is a vital model for telephone network planning. In addition, overflow traffic characteristics are discussed by using these examples." @default.
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- W2017195677 date "1988-08-01" @default.
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- W2017195677 title "On the overflow processes from the PH1 + PH2/M/S/K queue with two independent PH-renewal inputs" @default.
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- W2017195677 doi "https://doi.org/10.1016/0166-5316(88)90027-2" @default.
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