The effect of learning on transient queues

The purpose of this investigation is the examination of the transient behavior of a single-channel queue wherein the service rate, µ, is subject to manufacturing improvement (learning). The system is analyzed through the state probabilities, P_n(t), n which describe the probability that there are n units in the system at time t. The state probabilities are computed as a function of time by numerical integration of the standard Birth-Death Equations on a digital computer in Fortran IV. To show the effects of learning on the system behavior, the problem is analyzed for various degrees of learning and the results compared with the same system in which no learning is present (µ=constant).

An application of the above technique to multi-channel queues is explored and presented.