One customer enters the store every two minutes (Poisson)
Average wait time per customer is 90 seconds (exponentially distributed)
M = 1
Exponential Service Time, M/M/1, Single Server
We must ascertain. and initially (using hours):
30 consumers every hour is equal to 1 customer divided by 2 minutes, or?
? = 3600 minutes per hour / 90 seconds per customer, or 40 customers per hour.
a. Average customer wait time plus transaction time (hours) (Ws) at the machine:
W s=W q+1/?=0.075+1/40=0.075+0.025=0.100
b. The likelihood that a client won't have to wait (P0):
c. The typical quantity of customers holding up the machine (Lq):
Lq = 2.250 customers (see Part a above)
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