Operations and Supply Chain Management 9th edition
Operations and Supply Chain Management 9th edition
9th Edition
ISBN: 9781119320975
Author: Roberta S. Russell, Bernard W. Taylor III
Publisher: WILEY
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Chapter 5, Problem 6P

a)

Summary Introduction

To determine: The average number of planes that will queue up while waiting to land.

b)

Summary Introduction

To determine: What is the average waiting time for a plane before it can land?

c)

Summary Introduction

To determine: The average time a plane takes to clear the runway from the time it has notified the tower that it is close and wants to land.

d)

Summary Introduction

To determine: Does the airport have to hire an additional air traffic controller.

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The Peachtree Airport in Atlanta serves light aircraft. It hasa single runway and one air traffic controller to landplanes. It takes an airplane 8 minutes to land and clear therunway (exponentially distributed). Planes arrive at theairport at the rate of 5 per hour (Poisson distributed).a. Determine the average number of planes that will stackup waiting to land.b. Find the average time a plane must wait in line before itcan land.c. Calculate the average time it takes a plane to clear therunway once it has notified the airport that it is in thevicinity and wants to land.d. The FAA has a rule that an air traffic controller can, onthe average, land planes a maximum of 45 minutes outof every hour. There must be 15 minutes of idle timeavailable to relieve the tension. Will this airport have tohire an extra air traffic controller?
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12-17 Automobiles arrive at the drive-through window at a post office at the rate of four every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. a. What is the average time a car is in the system? b. What is the average number of cars in the system? c. What is the average time cars spend waiting to receive service? d. What is the average number of cars in line behind the customer receiving service? e. What is the probability that there are no cars at the window? f. What percentage of the time is the postal clerk busy? g. What is the probability that there are exactly two cars in the system?

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Operations and Supply Chain Management 9th edition

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