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Table 1 Simulation cases and results with (running time in seconds).

From: Power Allocation and Admission Control in Multiuser Relay Networks via Convex Programming: Centralized and Distributed Schemes

  Optimum allocation Proposed algorithm
SNR/rate 12 dB/4.0746 b/s/Hz 12 dB/4.0746 b/s/Hz
users served 9 9
Users served 1, 2, 3, 4, 6, 7, 8, 9, 10 1, 2, 3, 4, 6, 7, 8, 9, 10
Transmit power 20.3619 20.4446
Running time 18.72 5.39
/rate 13 dB/4.3891 b/s/Hz 13 dB/4.3891 b/s/Hz
users served 6 6
Users served 1, 2, 7, 8, 9, 10 1, 2, 7, 8, 9, 10
Transmit power 22.9531 23.0342
Users served 2, 3, 7, 8, 9, 10
Transmit power 23.7717
Running time 458.07 9.60
/rate 14 dB/4.7070 b/s/Hz 14 dB/4.7070 b/s/Hz
users served 4 4
Users served 7, 8, 9, 10 7, 8, 9, 10
Transmit power 25.6046 25.6195
Running time 850.28 11.78
SNR/rate 15 dB/5.0278 b/s/Hz 15 dB/5.0278 b/s/Hz
users served 2 2
Users served 8, 10 8, 10
Transmit power 7.5310 7.5320
Running time 930.11 12.92
SNR/rate 16 dB/5.3509 b/s/Hz 16 dB/5.3509 b/s/Hz
users served 1 1
Users served 8 8
Transmit power 9.8002 9.8025
Running time 931.11 13.15