The Sea View Resort Uses a Multiple-Channel Queue Registration System $\lambda$

question 25

Essay

The Sea View Resort uses a multiple-channel queue registration system. If the average service time is 8 minutes, there are three registration clerks, and guests arrive at the rate of one every 5 minutes, find
a. $\lambda$ and $\mu$ .
b.the probability all three clerks are idle.
c.the probability a guest will have to wait.
d.the average time a customer is in line.
e.the average number of customers in line.

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Definitions:

Accept

To agree to take or receive something offered.

Profitability Index

A financial tool used to evaluate the desirability of an investment, calculated by dividing the present value of future cash flows by the initial investment.

Positive NPV

A scenario in which the net present value of a project's cash inflows exceeds its cash outflows, indicating profitability.

Negative NPV

A situation where the net present value (NPV) of a project or investment is less than zero, indicating that the projected cash flows are insufficient to cover the initial investment.