In this paper we describe an elementary combinatorial approach for deriving the waiting and response time distributions in a few classical priority queueing models. By making use of lattice paths that are linked in a natural way to the stochastic processes analysed, the proposed method offers new insights and complements the results previously obtained by inverting the associated Laplace Transforms.

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Keywords Priority queues, Waiting times, Lattice paths
Persistent URL
Series Econometric Institute Research Papers
van Vianen, L.A, Gabor, A.F, & van Ommeren, J.C.W. (2016). Waiting times in classical priority queues via elementary lattice path counting (No. EI2016-17). Econometric Institute Research Papers. Retrieved from