Consider the following queueing network: 0.3 p A В with the parameters A, = 40, 12 = 70, p = 0.3 %3D (a) What is the arrival rate to server A (A)? Provide at least 3 decimals. (b) What is the arrival rate to server B (Ag)? Provide at least 3 decimals. (c) What is the minimum possible number of servers in node A with the service rate 53.65, that the system is not overloaded? (d) What is the minimum possible service rate for node B with 2 servers, so that the system is not overloaded? (e) Assuming that the total expected number of jobs in the system is 55. What is the expected time a job spends in the system?
Consider the following queueing network: 0.3 p A В with the parameters A, = 40, 12 = 70, p = 0.3 %3D (a) What is the arrival rate to server A (A)? Provide at least 3 decimals. (b) What is the arrival rate to server B (Ag)? Provide at least 3 decimals. (c) What is the minimum possible number of servers in node A with the service rate 53.65, that the system is not overloaded? (d) What is the minimum possible service rate for node B with 2 servers, so that the system is not overloaded? (e) Assuming that the total expected number of jobs in the system is 55. What is the expected time a job spends in the system?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Topic Video
Question
Ans all pls...
Transcribed Image Text:Consider the following queueing network:
0.3
В
with the parameters A, = 40, 2 = 70, p = 0.3
(a) What is the arrival rate to server A (X4)? Provide at least 3 decimals.
(b) What is the arrival rate to server B (Ag)? Provide at least 3 decimals.
(c) What is the minimum possible number of servers in node A with the service rate 53.65, that the system is not overloaded?
(d) What is the minimum possible service rate for node B with 2 servers, so that the system is not overloaded?
(e) Assuming that the total expected number of jobs in the system is 55. What is the expected time a job spends in the system?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
