OPERATIONS MANAGEMENT CUSTOM ACCESS
11th Edition
ISBN: 9780135622438
Author: KRAJEWSKI
Publisher: PEARSON EDUCATION (COLLEGE)
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Question
Chapter B, Problem 7P
A
Summary Introduction
Interpretation: Average utilization of the three teller service system should be calculated.
Concept Introduction: Utilization rate is average the time spend by a person in productivity activity. It is calculated as percentage.
B
Summary Introduction
Interpretation: The probability that no customers are waiting in line should be calculated.
Concept Introduction: Waiting line model is used to calculate the performance. The probability in a waiting line requires waiting for service.
C
Summary Introduction
Interpretation: The average number of customers should be calculated.
Concept Introduction: Waiting line model is used to calculate the performance. The probability in a waiting line requires waiting for service.
D
Summary Introduction
Interpretation: The average time for a customer waiting in line should be calculated.
Concept Introduction: Waiting line model is used to calculate the performance. The probability in a waiting line requires waiting for service.
E
Summary Introduction
Interpretation: The number of customers at station and in line should be calculated.
Concept Introduction: Waiting line model is used to calculate the performance. The probability in a waiting line requires waiting for service.
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given the following:
A typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to screeneach passenger that arrives at the security gate. During the day, a passenger arrives at the gate onaverage every 1.3 minutes. Both the service rate and arrival rate follow a Poisson distribution. Based onthis information and the assumption that only one screening line is open at the security gate, answer thefollowing questions with the given information:
a) average number of passengers waiting in line to be screened is 7
b) average amount of time (in minutes) passengers spend waiting in line is .147 minutes
c) average amount of time (in minutes) passengers spend in the screening system?.166 minutes
1. What is percent of the time does the typical TSA agent spend actively screening passengers?
2. Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45 minutes before a flight is expected to depart. If during this…
Given information:
A typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to screen each passenger that arrives at the security gate. During the day, a passenger arrives at the gate on average every 1.3 minutes. Both the service rate and arrival rate follow a Poisson distribution. Based on this information and the assumption that only one screening line is open at the security gate, answers the following questions. Round calculations to at least 3 decimal places. Note: Round each calculation to at least 3 decimal places.
Arrival time =60/1.3=46.153
Server Rate =60/1.15=52.174
L=expected number of passengers in queue =6.780
waiting time in queue =.1469
time spent screening=.1660
please answer the 2 foloowing questions
What is percent of the time does the typical TSA agent spend actively screening passengers?
Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45 minutes before a flight is…
You are the manager of a local bank where three tellers provide services to customers. On average, each teller takes
four minutes to serve a customer. Customers arrive, on average, at a rate of 40 per hour. Having recently received
complaints from some customers that they waited a long time before being served, your boss asks you to evaluate the
service system. Specifically, you must provide answers to the following questions:
a. The average utilization of the three-teller service system is p= 0.8889. (Enter your response rounded to four
decimal places.)
b. The probability that no customers are being served by a teller or are waiting in line is Po= 0.0280. (Enter your
response rounded to four decimal places.)
c. The average number of customers waiting in line is L₁ = customers. (Enter your response rounded to one decimal
place.)
Chapter B Solutions
OPERATIONS MANAGEMENT CUSTOM ACCESS
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