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

question 65

Essay

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.) Why do you think this problem does not fit the standard distribution for waiting lines?
Explain briefly how a Monte Carlo simulation might work where analytical models cannot.
$$\begin{array} { | c | c | c | c | } \hline \text { Customer Number } & \text { Arrival Time } & \text { Service Time } & \text { Service Ends } \\\hline 1 & 8 : 05 & 2 & 8 : 07 \\\hline 2 & 8 : 06 & 10 & 8 : 17 \\\hline 3 & 8 : 10 & 15 & 8 : 32 \\\hline 4 & 8 : 20 & 12 & 8 : 44 \\\hline 5 & 8 : 30 & 4 & 8 : 48 \\\hline\end{array}$$

---

Definitions:

Main Effects

The direct impact of an independent variable on a dependent variable in an experiment, ignoring the effects of other variables.

Erotic Movies

Films with content designed to sexually arouse the audience, often focusing on sexual desires and fantasies.

Non-Erotic Movies

Films that do not contain sexually explicit content.

Sexual Arousal

A physiological and psychological state of being awakened to sexual desire and ready for sexual activity.