In a waiting line situation, arrivals occur around the clock at a rate of six per day, and the service occurs at one every three hours. Assume the Poisson and exponential distributions.
a. What is ??
b. What is ??
c. Find the probability of no units in the system.
d. Find the average number of units in the system.
e. Find the average time in the waiting line.
f. Find the average time in the system.
g. Find the probability that there is one person waiting.
h. Find the probability that an arrival will have to wait.
a. ? = 6
b. ? = 8
c. P0 = 0.25
d. L = 3
e. Wq = 0.375
f. W = 0.5
g. P(2) = 0.1406
h. Pw = 0.75
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