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The Little's laws simulation (Essay Sample)


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The Little’s laws simulation
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The little Law’s simulation
Several observations were made when running this simulation. When the simulation begins, the number of people in the room is at zero. If The CV of arrival rate and time of stay is held at zero, the number of the people in the room (I) slowly builds to, time of stay (T) multiplied by the rate of arrival (R) (I=TR). However, the average number of people in the room starts at a zero and builds up at a declining rate, and in the long run gets to the optimum of TR. This happens because at the onset there are no people in the room, thus the system is not stable, however, the system gets to stability in the long run and the average levels at I=TR, see fig 1. This situation is true for all rates of arrival, holding constant CV of rate of arrival and time of stay. The average RT at maximum of expected RT then drops to a minimum because although the arrival rate is constant, the average stay time starts at a minimum when the first person exit. This is because the simulation takes the cumulative total time spent in the room by all persons in the entire simulation and divides this with the expected I to get average T. This gives a minimum at the onset of the simulation as no person has been in the room. Average RT then increases at a constantly reducing rate to leve...
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