McNeese is determining the staffing level for their credit union located within the university, and has recently hired two tellers (servers). The beginning of the fall semester is their busiest time, with incoming freshmen and transfer students opening accounts. On average, it takes a teller E [T] = 10 minutes to successfully open an account (equivalent to a u = 6 per hour) and the average arrival rate has been X = 6 per hour. As always, we use the exponential distribution as a reasonable approximation for both the interarrival and service times. After meeting with McNeese's upper- administration, the manager of the credit union is considering two possible scenarios for the service layout: Scenario 1: two M/M/1 (dedicated) queues that each serve /2 arrivals • Scenario 2: one M/M/2 (pooled) queue that serves all A arrivals A queuing analysis was conducted on each scenario, and the results are as follows: Scenario 1 Scenario 2 Utilization factor p= 0.50 p= 0.50 Mean number in the queue | E[L] = 0.50 customersEL] = 0.37 customers Considering s*, what is the average number of customers in the system, E [L]? a. 1.07 customers b. 2.51 customers C. 1.37 customers d. 3.01 customers
McNeese is determining the staffing level for their credit union located within the university, and has recently hired two tellers (servers). The beginning of the fall semester is their busiest time, with incoming freshmen and transfer students opening accounts. On average, it takes a teller E [T] = 10 minutes to successfully open an account (equivalent to a u = 6 per hour) and the average arrival rate has been X = 6 per hour. As always, we use the exponential distribution as a reasonable approximation for both the interarrival and service times. After meeting with McNeese's upper- administration, the manager of the credit union is considering two possible scenarios for the service layout: Scenario 1: two M/M/1 (dedicated) queues that each serve /2 arrivals • Scenario 2: one M/M/2 (pooled) queue that serves all A arrivals A queuing analysis was conducted on each scenario, and the results are as follows: Scenario 1 Scenario 2 Utilization factor p= 0.50 p= 0.50 Mean number in the queue | E[L] = 0.50 customersEL] = 0.37 customers Considering s*, what is the average number of customers in the system, E [L]? a. 1.07 customers b. 2.51 customers C. 1.37 customers d. 3.01 customers
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![1
Staffing with the M/M/s Queue
McNeese is determining the staffing level for their credit union located within the university, and
has recently hired two tellers (servers). The beginning of the fall semester is their busiest time, with
incoming freshmen and transfer students opening accounts. On average, it takes a teller E [T] = 10
minutes to successfully open an account (equivalent to a µ = 6 per hour) and the average arrival
rate has been A = 6 per hour. As always, we use the exponential distribution as a reasonable
approximation for both the interarrival and service times. After meeting with McNeese's upper-
administration, the manager of the credit union is considering two possible scenarios for the service
layout:
• Scenario 1: two M/M/1 (dedicated) queues that each serve /2 arrivals
• Scenario 2: one M/M/2 (pooled) queue that serves all A arrivals
A queuing analysis was conducted on each scenario, and the results are as follows:
Scenario 1
Scenario 2
Utilization factor
p= 0.50
p= 0.50
Mean number in the queue | E[L] = 0.50 customers E[L] = 0.37 customers
Considering s*, what is the average number of customers in the system, E [L]?
O a.
1.07 customers
O b. 2.51 customers
O c.
1.37 customers
O d. 3.01 customers](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff348f17e-e34d-4178-ab5f-f91eb7326134%2Fc3a32523-0f32-499e-b2db-24192496ba14%2Fk295uq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1
Staffing with the M/M/s Queue
McNeese is determining the staffing level for their credit union located within the university, and
has recently hired two tellers (servers). The beginning of the fall semester is their busiest time, with
incoming freshmen and transfer students opening accounts. On average, it takes a teller E [T] = 10
minutes to successfully open an account (equivalent to a µ = 6 per hour) and the average arrival
rate has been A = 6 per hour. As always, we use the exponential distribution as a reasonable
approximation for both the interarrival and service times. After meeting with McNeese's upper-
administration, the manager of the credit union is considering two possible scenarios for the service
layout:
• Scenario 1: two M/M/1 (dedicated) queues that each serve /2 arrivals
• Scenario 2: one M/M/2 (pooled) queue that serves all A arrivals
A queuing analysis was conducted on each scenario, and the results are as follows:
Scenario 1
Scenario 2
Utilization factor
p= 0.50
p= 0.50
Mean number in the queue | E[L] = 0.50 customers E[L] = 0.37 customers
Considering s*, what is the average number of customers in the system, E [L]?
O a.
1.07 customers
O b. 2.51 customers
O c.
1.37 customers
O d. 3.01 customers
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman