Question: I want to construct M/M/1 queueing model through Anylogic. The station has single machine, and its production rate is 6 jobs per hour. The effective
I want to construct M/M/1 queueing model through Anylogic.
The station has single machine, and its production rate is 6 jobs per hour. The effective CV = 1, just as the exponential distribution does. Assume that times between arrivals are exponentially distributed with 5.75 jobs per hour.
Theoretically, WIP, CT, TH must be
utilization(u) = 5.75/6
WIP = u/(1-u) = 23
TH = 5.75
CT = 23/5.75 = 4
However, the result of Anylogic simulation using 'service' function and 'queue' was as below.
TH = 5.75
CT = 0.1667
WIP = 0~2
It seems that congestion caused by queueing is not reflected in this model since cycle time was 0.1667, which is 1/6, the mean of production time.
How can I reflect this queueing model through Anylogic appropriately?
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