Cactus Baseball Stadium is trying to determine how many ticket scanners are need
ID: 371050 • Letter: C
Question
Cactus Baseball Stadium is trying to determine how many ticket scanners are needed to admit fans entrance. The stadium has 4 outfield bleacher sections: sections 1 and 3 in right field and sections 2 and 4 in left field. Fans use the backside of the stadium's entrance to get to these 4 sections. 40 people per minute show up to a game with their ticket (assume uniform distribution of location - that is each fan is equally likely to go to section 1, 2, 3, or 4). On average, it takes 5 seconds per person to process their ticket at a scanner and pass through the turnstiles. The backside stadium entrance is designed to hold up to 50 people waiting before getting to the ticket scanners.
Would this be an example of a finite or an infinite queue? And why?
Explanation / Answer
Would this be an example of a finite or an infinite queue? And why?
The difference between ``finite'' and ``infinite'' queue is based on the definition of arrival rate:
In an infinite queue the arrival is not affected by the number of customers waiting in the system.
In a finite queue the arrival rate at the server is affected by the number of people waiting in the system
From the description we can see that arrival is assume uniform distribution of location - that is each fan is equally likely to go to section 1, 2, 3, or 4. Hence the queue is Infinite queue.