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: A simple derivation of the waiting time distributions in a non-preemptive M/M/c queue with priorities Abstract: In this article we give a new derivation for the waiting time distributions in an M/M/c queue with multiple priorities and a common service rate by using elementary lattice paths counting. An advantage of the approach is that it does not require inversion of the Laplace-Stieltjes transform. Length: 12 Creation-Date: 2014-12-11 File-URL: https://repub.eur.nl/pub/77258/ERS-2014-016-LIS.pdf File-Format: application/pdf Series: RePEc:ems:eureri Number: ERS-2014-016-LIS Keywords: multi-server queue, non-preemptive priority, lattice-paths Handle: RePEc:ems:eureri:77258