in a waiting line system, there is only one server. Customer arrivals follow Poi
ID: 389550 • Letter: I
Question
in a waiting line system, there is only one server. Customer arrivals follow Poisson distribution with mean inter-arrival time 5 minutes. Service time follow exponential distribution and a server can serve 15 customers per hour on average. What is the average waiting time?
Question 2 options:
a)
2 min
b)
none of the answer
c)
20 min
d)
30 min
e)
16 min
in a waiting line system, there is only one server. Customer arrivals follow Poisson distribution with mean inter-arrival time 5 minutes. Service time follow exponential distribution and a server can serve 15 customers per hour on average. What is the average waiting time? Question 2 options: a) 2 min b) none of the answer c) 20 min d) 30 min e) 16 min
a)
2 min
b)
none of the answer
c)
20 min
d)
30 min
e)
16 min
Explanation / Answer
Answer:-
a) 2 minutes.
Number of servers 1
Mean inter-arrival time 5 mins
customers served 15 per hour
Average waiting time=5 mins-60/15
=1 minute
The average waiting time should be 1 minute.
If the above working proves to be the interval for the mean-interval, then the exponential creates a lapse between the two activities and thus 2 minutes average wait time.
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