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Remaining loads in a PH/M/c queue with impatient customers
There are two contributions to the literature in this note. Firstly, we point
out that under some weak conditions the result in Swensen (1986) on the
remaining loads in a GI/M/ queue with impatient customers, derived under the
assumption that the distribution of inter-arrival times is Coxian, is also
valid for the more general phase type distribution. From this result the
distributions of the virtual and the actual waiting time can easily be
obtained. Secondly, the relation to an alternative expression for the
distribution of the virtual waiting time derived by Kawanishi and Takine (2015)
is also discussed