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

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Definitions:

Graph

A visual representation of data, functions, or equations on a coordinate plane, illustrating relationships between variables.

Linear Inequalities

Mathematical expressions that represent a range of values along a line where one side of the inequality has a variable term.

Solution

The numbers that fulfill the requirements of an equation, inequality, or a set of equations.

Linear Inequalities

Mathematical statements that relate linear expressions using inequality symbols.