Format:
25 S.
Series Statement:
Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1997,19
Content:
Abstract: "The paper is concerned with the analysis of an s server queueing system in which the calls become impatient and leave the system if their waiting time exceeds their own patience. The individual patience times are assumed to be i.i.d. and arbitrary distributed. The arrival and service rate may depend on the number of calls in the system and in service, respectively. For this system, denoted by M(n)/M(m)/s + GI, where m = min(n, s) is the number of busy servers in the system, we derive a system of integral equations for the vector of the residual patience times of the waiting calls and their original maximal patience times. By solving these equations explicitly we get the stability condition and, for the steady state of the system, the occupancy distribution and various waiting time distributions. As an application of the M(n)/M(m)/s + GI system we give a performance analysis of an Automatic Call Distributor system (ACD system) of finite capacity with outbound calls and impatient inbound calls, especially in case of patience times being the minimum of constant and exponentially distributed times."
Language:
English
Subjects:
Computer Science
