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A Waiting-Line Problem That Cannot Be Modeled by Standard Distributions

Question 65

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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.
 Customer Number  Arrival Time  Service Time  Service Ends 18:0628:0828:07108:1838:12108:2848:24118:3958:3058:44\begin{array} { | c | c | c | c | } \hline \text { Customer Number } & \text { Arrival Time } & \text { Service Time } & \text { Service Ends } \\\hline 1 & 8 : 06 & 2 & 8 : 08 \\\hline 2 & 8 : 07 & 10 & 8 : 18 \\\hline 3 & 8 : 12 & 10 & 8 : 28 \\\hline 4 & 8 : 24 & 11 & 8 : 39 \\\hline 5 & 8 : 30 & 5 & 8 : 44 \\\hline\end{array}
a. What is the average waiting time in line?
b. What is the average time in the system?

Correct Answer:

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(a) Waiting time is 0 + 1 + 6 ...

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