A waiting line problem that cannot be modeled by standard distributions has been

Question

A waiting line problem that cannot be modeled by standard distributions has been simulated. The table below shows the result of a Monte Carlo simulation. (Assume that the simulation began at 8:00 a.m. and there is only one server. Do not round) Customer number Arrival Time Service Time Waiting time for clerk 8:00 AM 8:12 AM 8:17 AM 8:29 AM 8:46 AM a. average customer waiting in the systems is 0:22:00 0:06 0:12 0:17 0:21 0:13 0:07 0:00 0:00 0:00 0:00 2 4 5 b. total customer waiting time for service is not 0:46:00 c. average customer waiting time for service is 0:09:12 d. total customers' waiting time in the system is not 1:53:00

Explanation / Answer

Correct Answer = Option C = Average waiting time for service is 0:09:12

Pls refer the below working for calculating the average service waiting time as beow

Average Customer Service Waiting Time = Total customer waiting time / number of customers

= 46 minutes / 5

= 9.2 minutes

= 9 minutes and 12 seconds = 00:09:12

Customer Number Arrival Time Service Time (minutes) Clerk Waiting Time (minutes) Customer Service Waiting time (minutes) Service Start Time Srrvice Complete Time 1 8:00 6 7 7 8:07 8:13 2 8:12 12 0 1 8:13 8:25 3 8:17 17 0 8 8:25 8:42 4 8:29 21 0 13 8:42 9:03 5 8:46 13 0 17 9:03 9:16 Total 46

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