TY - GEN A1 - Brandt, Andreas A1 - Brandt, Manfred T1 - On the Two-Class M/M/1 System under Preemptive Resume and Impatience of the Prioritized Customers N2 - The paper deals with the two-class priority M/M/1 system, where the prioritized class-1 customers are served under FCFS preemptive resume discipline and may become impatient during their waiting for service with generally distributed maximal waiting times but finite expectation. The class-2 customers have no impatience. The required mean service times may depend on the class of the customer. As the dynamics of class-1 customers are related to the well analyzed M/M/1+GI system, our aim is to derive characteristics for class-2 customers and for the whole system. The solution of the balance equations for the partial probability generating functions of the detailed system state process is given in terms of the weak solution of a family of boundary value problems for ordinary differential equations. By means of this solution formulae for the joint occupancy distribution and for the sojourn and waiting times of class-2 customers are derived generalizing results recently obtained by Choi et al. in case of deterministic maximal waiting times. For deterministic maximal waiting times partially new explicit formulae are given. T3 - ZIB-Report - 02-28 KW - two-class priority M/M/1 system KW - preemptive resume KW - impatient customers KW - occupancy distribution KW - waiting time KW - sojourn time Y1 - 2002 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/695 UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-6953 ER -