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?

---

Definitions:

Virtual Destruction

The act of causing significant damage or annihilation in a digital or simulated environment.

Western Conceptions

Ideas, beliefs, or values that originated or are predominantly held in Western societies.

Reasoning

The process of thinking about something in a logical, rational way to form a conclusion or judgment.

Sets Of Premises

Groups of statements or propositions that provide the basis for a conclusion in an argument.