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

question 33

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.λ and μ.
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:

Biological Clock

An innate mechanism that controls the physiological activities of an organism, such as sleep cycles, puberty, and aging.

Hypothalamus

A small but crucial part of the brain located below the thalamus, responsible for regulating many bodily functions including hunger, thirst, sleep, and emotions.

SAD

Seasonal Affective Disorder, a type of depression that occurs at a certain time of the year, usually in winter.

Depression

A common and serious medical illness that negatively affects how you feel, the way you think, and how you act, causing feelings of sadness or a loss of interest in activities once enjoyed.