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Viewing a Vending Machine as a Stochastic,single-Channel,input-Output System with Poisson

Question 108

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Viewing a vending machine as a stochastic,single-channel,input-output system with Poisson arrivals and exponential service times,determine the values of Lq and Wq as well as W and L for l = 8 per minute and m = 10 per minute.These rates apply at lunch time when the school cafeteria is filled to capacity.Also,on a technical note: FIFO holds as well as all other assumptions required for the single-channel queuing model.

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r = 8/10 = 0.8
Lq = r²/(1-r) = (0.8)²/(1...

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