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# Queuing Analysis

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(1) Briefly describe three situations in which the 'First In First Out' discipline rule is not applicable in queuing analysis.

(2) Provide examples of four situations in which there are limited, or finite population.

(3) Do you think the Poisson distribution, which assumes independent arrivals, is a good estimation of arrival rates in the following queuing systems? Defend your position in each case.

Barbershop
Hardware store
Dentist's office
College class
Movie theater

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#### Solution Preview

(1) Briefly describe three situations in which the First In First Out discipline rule is not applicable in queuing analysis.

There are several ways to organize queues:
1) FIFO (First In First Out) also called FCFS (First Come First Serve) - orderly queue.
2) LIFO (Last In First Out) also called LCFS (Last Come First Serve) - stack.
3) SIRO (Serve In Random Order).
4) Priority Queue that may be viewed as a number of queues for various priorities.

Here are some examples of non-FIFO queues:

* Hospital emergency room. The sickest people are seen first, even if they just got to the ER. This is an example of a priority queue.
* Any scenario where the order that you're seen is determined by a random lottery. This would be SIRO.
* LIFO is used in accounting sometimes (http://www.bellaonline.com/articles/art51668.asp).
* In ...

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