Template-Type: ReDIF-Paper 1.0 Author-Name: van Vianen, L.A. Author-Name-Last: van Vianen Author-Name-First: Lars Author-Name: Gabor, A.F. Author-Name-Last: Gabor Author-Name-First: Adriana Author-Name: van Ommeren, J.C.W. Author-Name-Last: van Ommeren Author-Name-First: Jan-Kees Title: Waiting times in classical priority queues via elementary lattice path counting Abstract: 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. Length: 10 Creation-Date: 2016-05-10 File-URL: https://repub.eur.nl/pub/80103/EI2016-17.pdf File-Format: application/pdf Series: RePEc:ems:eureir Number: EI2016-17 Keywords: Priority queues, Waiting times, Lattice paths Handle: RePEc:ems:eureir:80103