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12. A partially interconnected three-stage network as shown in Figure 5.14 consists of switches of size 10 x 10 and connects 1000 incoming trunks to 1000 outgoing trunks. The outgoing trunks serve ten routes, each having one trunk connected to each tertiary switch. (a) (i) Compare the number of crosspoints in the network with the number required by a three-stage fully interconnected network with the same number of incoming and outgoing trunks. (ii) What advantage would the fully interconnected network have over that shown in Figure 5.14? (b) (i) Assuming that the traffic is evenly distributed over the incoming and outgoing trunks, determine the grade of service when each incoming trunk originates 0.6 E of traffic. (ii) If the total traffic offered to the network is unchanged but the traffic offered to one primary switch increases by 20%, find the grade of service for these calls. (iii) If the total traffic offered to the network is unchanged but the traffic offered to one outgoing route increases by 20%, find the grade of service for calls offered to that route. N = n³ outgoing trunks n n primary switches NA-links n secondary switches NB-links ntertiary switches Х nxn Х nxn ✗ n nxn n Х nxn Х nxn n Х nx n Frame n Х nxn ✗ nx n Х nx n n n Х ✗ nx n nxn Frame 1 ✗ n nx n Figure 5.14 Partially interconnected three-stage network. n N = n³ incoming trunks

12. A partially interconnected three-stage network as shown in Figure 5.14 consists of switches of size 10 x 10 and connects 1000 incoming trunks to 1000 outgoing trunks. The outgoing trunks serve ten routes, each having one trunk connected to each tertiary switch. (a) (i) Compare the number of crosspoints in the network with the number required by a three-stage fully interconnected network with the same number of incoming and outgoing trunks. (ii) What advantage would the fully interconnected network have over that shown in Figure 5.14? (b) (i) Assuming that the traffic is evenly distributed over the incoming and outgoing trunks, determine the grade of service when each incoming trunk originates 0.6 E of traffic. (ii) If the total traffic offered to the network is unchanged but the traffic offered to one primary switch increases by 20%, find the grade of service for these calls. (iii) If the total traffic offered to the network is unchanged but the traffic offered to one outgoing route increases by 20%, find the grade of service for calls offered to that route. N = n³ outgoing trunks n n primary switches NA-links n secondary switches NB-links ntertiary switches Х nxn Х nxn ✗ n nxn n Х nxn Х nxn n Х nx n Frame n Х nxn ✗ nx n Х nx n n n Х ✗ nx n nxn Frame 1 ✗ n nx n Figure 5.14 Partially interconnected three-stage network. n N = n³ incoming trunks

Power System Analysis and Design (MindTap Course List)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter10: System Protection
Section: Chapter Questions
Problem 10.19P
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12. A partially interconnected three-stage network as shown in Figure 5.14 consists of switches of size 10 x 10 and connects 1000 incoming trunks to 1000 outgoing trunks. The outgoing trunks serve ten routes, each having one trunk connected to each tertiary switch. (a) (i) Compare the number of crosspoints in the network with the number required by a three-stage fully interconnected network with the same number of incoming and outgoing trunks. (ii) What advantage would the fully interconnected network have over that shown in Figure 5.14? (b) (i) Assuming that the traffic is evenly distributed over the incoming and outgoing trunks, determine the grade of service when each incoming trunk originates 0.6 E of traffic. (ii) If the total traffic offered to the network is unchanged but the traffic offered to one primary switch increases by 20%, find the grade of service for these calls. (iii) If the total traffic offered to the network is unchanged but the traffic offered to one outgoing route increases by 20%, find the grade of service for calls offered to that route.
Transcribed Image Text:12. A partially interconnected three-stage network as shown in Figure 5.14 consists of switches of size 10 x 10 and connects 1000 incoming trunks to 1000 outgoing trunks. The outgoing trunks serve ten routes, each having one trunk connected to each tertiary switch. (a) (i) Compare the number of crosspoints in the network with the number required by a three-stage fully interconnected network with the same number of incoming and outgoing trunks. (ii) What advantage would the fully interconnected network have over that shown in Figure 5.14? (b) (i) Assuming that the traffic is evenly distributed over the incoming and outgoing trunks, determine the grade of service when each incoming trunk originates 0.6 E of traffic. (ii) If the total traffic offered to the network is unchanged but the traffic offered to one primary switch increases by 20%, find the grade of service for these calls. (iii) If the total traffic offered to the network is unchanged but the traffic offered to one outgoing route increases by 20%, find the grade of service for calls offered to that route.
N = n³ outgoing trunks n n primary switches NA-links n secondary switches NB-links ntertiary switches Х nxn Х nxn ✗ n nxn n Х nxn Х nxn n Х nx n Frame n Х nxn ✗ nx n Х nx n n n Х ✗ nx n nxn Frame 1 ✗ n nx n Figure 5.14 Partially interconnected three-stage network. n N = n³ incoming trunks
Transcribed Image Text:N = n³ outgoing trunks n n primary switches NA-links n secondary switches NB-links ntertiary switches Х nxn Х nxn ✗ n nxn n Х nxn Х nxn n Х nx n Frame n Х nxn ✗ nx n Х nx n n n Х ✗ nx n nxn Frame 1 ✗ n nx n Figure 5.14 Partially interconnected three-stage network. n N = n³ incoming trunks
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