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

question 44

Essay

A waiting-line problem that cannot be modelled 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?

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Definitions:

Farm Subsidies

Financial assistance provided by the government to farmers, intended to supplement their income and stabilize food prices.

Agricultural Act of 2014

A United States federal law that established policies for agricultural and food programs, often referred to as the 2014 Farm Bill.

Crop Insurance

A risk management tool that protects agricultural producers against loss of their crops due to natural disasters, such as flood, hail, drought, or loss in revenue due to declines in the prices of agricultural commodities.

Price Support

A government intervention mechanism to maintain the price of a commodity at a certain level by buying excess supply or offering subsidies.

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