Date of Award:
Master of Science (MS)
Mathematics and Statistics
Department name when degree awarded
Ronald V. Canfield
If either the arrival rate or the service rate in an M/M/S queue exhibit variability over time, then no steady state solution is available for examining the system behavior. The arrival and service rates can be represented through Fourier series approximations. This permits numerical approximation of the system characteristics over time.
An example of an M/M/S representation of the operations of emergency treatment at Logan Regional hospital is presented. It requires numerical integration of the differential equation for L(t), the expected number of customers in the system at time t.
Vajanaphanich, Pensri, "Parameter Estimation in Nonstationary M/M/S Queueing Models" (1982). All Graduate Theses and Dissertations. 6940.
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