Example 12.7. What happens to the blocking probabilities in Figure 12.6a and b discussed in Example 12.6 when the traffic intensity increases by 50%? Solution. If the traffic intensity of each group increases from 2.2 to 3.3 erlangs, the blocking probability of the configuration of Figure 12.6a increases from 5% to almost 14%. In the configuration of Figure 12.6b a 50% increase in the traffic intensity causes a 400% increase in the blocking probability (from 5 to 20%). Example 12.6. Four clusters of data terminals are to be connected to a computer by way of leased circuits, as shown in Figure 12.6. In Figure 12.6a the traffic from the clusters uses separate groups of shared circuits. In Figure 12.6b the traffic from all clusters is concentrated onto one common group of circuits. Determine the total number of circuits required in both cases when the maximum desired blocking probability is 5%. Assume that 22 terminals are in each cluster and each terminal is active 10% of the time. (Use a blocked calls cleared analysis.) (a) CPU CPU 13 Channels 20 Channels (b) Figure 12.6 Data terminal network of Example 10.6: (a) four separate groups; (b) all traffic concentrated into one group.

Example 12.7. What happens to the blocking probabilities in Figure 12.6a and b discussed in Example 12.6 when the traffic intensity increases by 50%? Solution. If the traffic intensity of each group increases from 2.2 to 3.3 erlangs, the blocking probability of the configuration of Figure 12.6a increases from 5% to almost 14%. In the configuration of Figure 12.6b a 50% increase in the traffic intensity causes a 400% increase in the blocking probability (from 5 to 20%). Example 12.6. Four clusters of data terminals are to be connected to a computer by way of leased circuits, as shown in Figure 12.6. In Figure 12.6a the traffic from the clusters uses separate groups of shared circuits. In Figure 12.6b the traffic from all clusters is concentrated onto one common group of circuits. Determine the total number of circuits required in both cases when the maximum desired blocking probability is 5%. Assume that 22 terminals are in each cluster and each terminal is active 10% of the time. (Use a blocked calls cleared analysis.) (a) CPU CPU 13 Channels 20 Channels (b) Figure 12.6 Data terminal network of Example 10.6: (a) four separate groups; (b) all traffic concentrated into one group.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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