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:

Horney

Refers to Karen Horney, a German psychoanalyst who contributed to the development of psychoanalytic social theory.

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Jung

Refers to Carl Jung, a Swiss psychiatrist who founded analytical psychology, emphasizing the importance of the individual psyche and the personal quest for wholeness.

Personality

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