anerosad Posted December 10, 2018 Posted December 10, 2018 I have a model where three conveyors merge from individual sources. All three sources release entities at an inter-arrival rate of 4.5 s. At the merge there is a server which has a processing time of 1 s and a 0 buffer capacity. In the image below I have two models with the exact same properties, the only difference is the conveyor speed. The top model has a conveyor speed of 0.5 m/s and a queue forms reaching a length of infinity as time passes. The bottom model has a conveyor speed of 2 m/s and a queue never forms. Why is it that a queue forms in the top model? Can someone please explain? It does not make sense to me why such a long queue forms. Please explain using queuing theory or mathematics, or Simio logic if necessary. 1
gocken Posted December 10, 2018 Posted December 10, 2018 (edited) If arrival rates at sources and processing rates at servers are all same there should not be any difference between these two systems. Check 1) Are the processing times of all server objects are same? 2) Are the interarrival times of source objects all same? the conveyor speeds does not affect the queue length. It does affect only finishing time of processing parts. Edited December 10, 2018 by gocken
anerosad Posted December 11, 2018 Author Posted December 11, 2018 I figured out that the conveyor going out of the server is not fast enough to carry the entities away at a rate of 0.5 m/s. That is why the queue forms. But thanks for your response!
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