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Note—Computing Time-Dependent Waiting Time Probabilities in M(t)/M/s(t) Queuing Systems

Graduate School of Business, Columbia University, 423 Uris Hall, 3022 Broadway, New York, New York 10027
Departamento de Matemática, Universidade de Coimbra, 3000 Coimbra, Portugal
lvg1{at}columbia.edu
jsoares{at}mat.uc.pt

In this note we present algorithms that compute, exactly or approximately, time-dependent waiting time tail probabilities and the time-dependent expected waiting time in M(t)/M/s(t) queuing systems.

Key Words: nonstationary; time dependent; multiserver queues; waiting time
History: Received: July 20, 2004; accepted: October 18, 2005.