Operations Management
Operations Management
13th Edition
ISBN: 9781259667473
Author: William J Stevenson
Publisher: McGraw-Hill Education
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Chapter 18, Problem 6P

a)

Summary Introduction

To determine: The numbers of trucks that are expected to see at the weighing station, including inspected ones.

b)

Summary Introduction

To determine: Average waiting time at station.

c)

Summary Introduction

To determine: The probability that both inspectors would be busy at the same time.

d)

Summary Introduction

To determine: The average waiting time for a truck that is not immediately inspected.

e)

Summary Introduction

To determine: The condition that would exist if there was only one inspector.

f)

Summary Introduction

To determine: The maximum line length for a probability is 97.00%.

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Trucks are required to pass through a weighing station so that they can be checked for weight violations. Trucks arrive at the station at the rate of 45 an hour between 7:00 pm and 9:00 pm. Currently, three inspectors are on duty during those hours, each of whom can inspect 25 trucks an hour. Please show work.   Question: How many trucks would you expect to see at the weighing station, including those being inspected?
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Trucks are required to check in at a weigh station (scale) so that they can be inspected for weight violations. Trucks arrive at the station at the rate of 40 an hour in the mornings according to Poisson distribution. Currently two inspectors are on duty during those hours, each of whom can inspect 25 trucks an hour, according to Poisson distribution. a. If only 13 trucks fit in the system, what is the probability that a truck cannot enter the system?
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