EBK OPERATIONS MANAGEMENT
11th Edition
ISBN: 8220103630726
Author: RENDER
Publisher: PEARSON
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Chapter F, Problem 6P
Summary Introduction
To determine: The number of people who arrive at the checkout of the store and the time it takes to check them out.
Introduction: Simulation is the model that can be used in operations, which would imitate the real world process. Simulation uses random sampling for the generation of realistic variability.
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QUESTION 5
Regional Airlines is establishing a new telephone system for handling flight reservations. During the 10:00 AM to 2:00 PM time period,
calls to the reservation agent occur randomly at an average rate of one call every 3.75 minutes. Historical service time data show that a
reservation agent spends an average of 3 minutes with each customer. The waiting line model assumptions of Poisson arrivals and
exponential service times appear reasonable for the telephone reservation system.
At a planning meeting, Regional's management team agreed that an acceptable customer service goal is to answer at least 75% of the
incoming calls immediately. During the planning meeting, Regional's vice president of administration pointed out that the data show that
the average service rate for an agent is faster than the average arrival rate of the telephone calls. The vice president's conclusion was
that personnel costs could be minimized by using one agent and that single agent must be able to…
Question:
What is the sample mean, sample standard deviation, minimum, and maximum of the total time in the system observed for the customers who arrived at, and departed from, the system during the time interval [100.0, 120.0]? Using Excel formulas.
What is the time-averaged (time-weighted) mean number waiting in the queue during the time interval [100.0, 120.0] using a hand simulation table.
Customer Arrives at Queue Departs from Queue Departs from Server Time in Queue Time in Service Total Time in System
83
100.4
102.3
108.3
84
101.5
108.3
109.5
85
105.1
110.6
86
106.8
112.9
87
108.1
114.2
88
113.5
116.3
89
117.9
119.2
90
118
91
119.9
109.5
110.6
112.9
114.2
117.9
119.2
After 120.0
After 120.0
After 120.0
Mean
SD
Min
Max
Just Finished Event
Variables Attributes (Arr Times)
Time t Event Type Q(t) B(t) (In Queue) In Service P
Entity #
N
Statistical Accumulators
Event Calendar
[WQ WQ* ETS TS* JQ(t) Q(t)* JB(t) Entity # Time Type
Question 8.1
The computer lab at State University has a help desk to assist students working on computer
spreadsheet assignments. The students patiently form a single line in front of the desk to wait for help.
Students are served based on a first-come, first-served priority rule. Students arrive at the help desk at
the rate of 4 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.
Chapter F Solutions
EBK OPERATIONS MANAGEMENT
Ch. F - Question: 1 State the seven steps, beginning with...Ch. F - Question: 2. List the advantages of simulation.Ch. F - Prob. 3DQCh. F - Question: 4. Explain the difference between...Ch. F - Question: 5. What is the role of random numbers in...Ch. F - Prob. 6DQCh. F - Question: 7. What is Monte Carlo simulation? What...Ch. F - Question: 8. List six ways that simulation can be...Ch. F - Question: 9. Why is simulation such a widely used...Ch. F - Prob. 10DQ
Ch. F - Prob. 11DQCh. F - Prob. 12DQCh. F - Prob. 13DQCh. F - Prob. 1PCh. F - Prob. 2PCh. F - Prob. 3PCh. F - Prob. 4PCh. F - Question F.5 Arnold Palmer Hospital is studying...Ch. F - Prob. 6PCh. F - Question: F.7 A warehouse manager at Mary Beth...Ch. F - Prob. 8PCh. F - Prob. 9PCh. F - Question: F.10 The number of cars arriving at...Ch. F - Prob. 11PCh. F - Prob. 12PCh. F - Prob. 13PCh. F - Question: F.14 Refer to the data in Solved...Ch. F - Question: F.15 Connecticut Tanning has two...Ch. F - Prob. 16PCh. F - Prob. 17PCh. F - Prob. 18PCh. F - Prob. 1CSCh. F - Prob. 2CS
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