For the closed interactive network in Figure 16.11, there are N = 3 users, think time is Z ~ Exp(A = 1), service time is S ~ probabilities are as shown. For this network compute Exp(u = 2), and routing N = 3 /2 12 Figure 16.11. Closed queueing network from Exercise 16.1. (a) the exact throughput, X. (b) the exact mean response time, E [R], not including think time. (c) the asymptotic throughput for high N using operational analysis from Chapter 7. 00

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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16.1 Practice with Finite-State Chains: Closed System Performance
For the closed interactive network in Figure 16.11, there are N
Exp(A = 1), service time is S
probabilities are as shown. For this network compute
3 users,
think time is Z
Exp(u = 2), and routing
N = 3
1/2
1/2
Figure 16.11. Closed queueing network from Exercise 16.1.
(a) the exact throughput, X.
(b) the exact mean response time, E [R], not including think time.
(c) the asymptotic throughput for high N using operational analysis from
Chapter 7.
000
Transcribed Image Text:16.1 Practice with Finite-State Chains: Closed System Performance For the closed interactive network in Figure 16.11, there are N Exp(A = 1), service time is S probabilities are as shown. For this network compute 3 users, think time is Z Exp(u = 2), and routing N = 3 1/2 1/2 Figure 16.11. Closed queueing network from Exercise 16.1. (a) the exact throughput, X. (b) the exact mean response time, E [R], not including think time. (c) the asymptotic throughput for high N using operational analysis from Chapter 7. 000
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