One of the main lessons of queueing theory

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One of the main lessons of queueing theory (Chaps. 17 and 18) is that the amount of variability in the service times and interarrival times has a substantial impact on the measures of performance of the queueing system. Significantly decreasing variability helps considerably. This phenomenon is well illustrated by the M/G/1 queueing model presented at the beginning of Sec. 17.7. For this model, the four fundamental measures of performance (L, L_q, W, and W_q) are expressed directly in terms of the variance of service times (σ²) so we can see immediately what the impact of decreasing σ² would be. Consider an M/G/1 queueing system with mean arrival rate λ = 0.8 and mean service rate μ = 1, so the utilization factor is

Reference no: EM131104648

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