QUESTION 1 A multiple channel queuing system with a Poisson arrival rate, and an exponential service time distribution has an average arrival rate of 2.5 customers per hour and an average service time of eighty minutes per customer. A queuing system is described as unstable or overloaded if its utilization rate is greater than, or equal to one. For the system just described, what is the minimum number of servers required to retain stability i.e., to avoid overloading? A. 3 B.2 OC. 4 O D. 1 QUESTION 2 Customers arrive at the lone check-out desk of a certain convenience store at the average rate of 0.23 per minute. If it takes on average four minutes for the store manager to serve each customer, how many customers will on average find themselves waiting in the queue? A. 3.20 OB. 0.00351 OC. 0.00024 D. 10.58

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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QUESTION 1
A multiple channel queuing system with a Poisson arrival rate, and an exponential service time distribution has an average arrival rate of 2.5 customers per
hour and an average service time of eighty minutes per customer. A queuing system is described as unstable or overloaded if its utilization rate is greater
than, or equal to one. For the system just described, what is the minimum number of servers required to retain stability i.e., to avoid overloading?
A. 3
B. 2
C. 4
D. 1
QUESTION 2
Customers arrive at the lone check-out desk of a certain convenience store at the average rate of 0.23 per minute. If it takes on average four minutes for
the store manager to serve each customer, how many customers will on average find themselves waiting in the queue?
A. 3.20
B. 0.00351
C. 0.00024
D. 10.58
Transcribed Image Text:QUESTION 1 A multiple channel queuing system with a Poisson arrival rate, and an exponential service time distribution has an average arrival rate of 2.5 customers per hour and an average service time of eighty minutes per customer. A queuing system is described as unstable or overloaded if its utilization rate is greater than, or equal to one. For the system just described, what is the minimum number of servers required to retain stability i.e., to avoid overloading? A. 3 B. 2 C. 4 D. 1 QUESTION 2 Customers arrive at the lone check-out desk of a certain convenience store at the average rate of 0.23 per minute. If it takes on average four minutes for the store manager to serve each customer, how many customers will on average find themselves waiting in the queue? A. 3.20 B. 0.00351 C. 0.00024 D. 10.58
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