Consider an airport where taxis and customers arrive (exponential interarrival times) with respective rates of one and

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Consider an airport where taxis and customers arrive

(exponential interarrival times) with respective rates of one and two per minute. No matter how many other taxis are present, a taxi will wait. If an arriving customer does not find a taxi, the customer immediately leaves.

a. Model this system as an MM1 queue. (Hint:

Think of the taxis as the “customers.”)

b. Find the average number of taxis that are waiting for a customer.

c. Suppose all customers who use a taxi pay a $10 fare. During a typical hour, how much revenue will the taxis receive?

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Practical Management Science

ISBN: 9781111531317

4th Edition

Authors: Wayne L. Winston, S. Christian Albright

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Question Posted: Oct 23, 2024 08:05 AM

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Consider an airport where taxis and customers arrive (exponential interarrival times) with respective rates of one and

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Practical Management Science

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