1) What is the sample mean, sample standard deviation, minimum, and maximum of the waiting time in the queue observed for the customers who arrived at, and departed from, the queue during the time interval [100.0, 120.0]?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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Problem 2:
Suppose you observe the following arrivals and departures from a single-server queueing system.
Observations begin at time 100.0 (with no one in the queue) and end at 120.0.
Customer Time Customer
#
Arrives to Queue
83
84
85
86
87
88
89
90
91
100.4
101.5
105.1
106.8
108.1
113.5
117.9
118.0
119.9
Time Customer Departs
from Queue and Goes
Into Service
102.3
108.3
109.5
110.6
112.9
114.2
117.9
119.2
After 120.0
Time Customer
Departs From
Server
108.3
109.5
110.6
112.9
114.2
116.3
119.2
After 120.0
After 120.0
1) What is the sample mean, sample standard deviation, minimum, and maximum of the waiting
time in the queue observed for the customers who arrived at, and departed from, the queue
during the time interval [100.0, 120.0]?
Transcribed Image Text:Problem 2: Suppose you observe the following arrivals and departures from a single-server queueing system. Observations begin at time 100.0 (with no one in the queue) and end at 120.0. Customer Time Customer # Arrives to Queue 83 84 85 86 87 88 89 90 91 100.4 101.5 105.1 106.8 108.1 113.5 117.9 118.0 119.9 Time Customer Departs from Queue and Goes Into Service 102.3 108.3 109.5 110.6 112.9 114.2 117.9 119.2 After 120.0 Time Customer Departs From Server 108.3 109.5 110.6 112.9 114.2 116.3 119.2 After 120.0 After 120.0 1) What is the sample mean, sample standard deviation, minimum, and maximum of the waiting time in the queue observed for the customers who arrived at, and departed from, the queue during the time interval [100.0, 120.0]?
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