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

Respuesta :

Answer: The answer is d

Explanation:

Arrival rate = 5 minutes

Service rate = 15 customer per hour

ts = Arrival rate / service rate - Arrival rate

= 5/ 15 - 5

= 5/ 10

= 0.5

Since 60 minutes = 1 hour

= 0.5 × 60

= 30 minutes

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