On aGI/M/cQueue with Bounded Waiting Times
Operations Research · 1986 · Volume 34 · Issue 6
Abstract
We derive the asymptotic distribution of the remaining load, virtual waiting time and actual waiting time for a multiserver queueing system with exponentially distributed service times and bounded waiting times. Interarrival distributions are Coxian, with m stages. This model has application to telephone exchange operations and to perishable inventory. The explicit derivation of the distributions involves determining the eigenvalues of m -dimensional matrices and solving linear equations in m unknowns. We give a few numerical illustrations.
Keywords
347 perishable items, 681 queues with bounded waiting times
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