Table 1.
Classification of OSNR before Defragmentation
| Modulation | Current OSNR (dB) | Decision |
|---|
| PM-BPSK | 9–10.5 | Low |
| 10.5–11.9 | High |
| PM-QPSK | 12–14 | Low |
| 14–15.9 | High |
| PM-8QAM | 16–17.3 | Low |
| 17.3–18.5 | High |
| PM-16QAM | 18.6–20.1 | Low |
| 20.1–21.5 | High |
| PM-32QAM | 21.6–23.1 | Low |
| 23.1–24.5 | High |
| PM-64QAM | 24.6–27.3 | Low |
| 27.3–30 | High |
Table 2.
Classification of OSNR Degradation
| Modulation | Degradation OSNR (dB) | Decision |
|---|
| PM-BPSK () | | Low |
| | High |
| PM-QPSK () | | Low |
| | High |
| PM-8QAM () | | Low |
| | High |
| PM-16QAM () | | Low |
| | High |
| PM-32QAM () | | Low |
| | High |
| PM-64QAM () | | Low |
| | High |
Table 3.
Classification of Number of Ongoing Demands into a Lightpath
| Modulation | 100 Gbps Demand | Decision |
|---|
| PM-BPSK | 0.5 | Low |
| PM-QPSK | 1 | Low |
| PM-8QAM | 1.5 | High |
| PM-16QAM | 2 | High |
| PM-32QAM | 2.5 | High |
| PM-64QAM | 3 | High |
Table 4.
Classification of Lightpaths
| Current OSNR | OSNR Degradation | Demand | Decision |
|---|
| Low | Low | Low | Risky |
| Low | Low | High | Risky |
| Low | High | Low | Risky |
| Low | High | High | Risky |
| High | Low | Low | Safe |
| High | Low | High | Safe |
| High | High | Low | Safe |
| High | High | High | Risky |
Table 5.
List of Notations Used in the Algorithms
| Notation | Description |
|---|
| Given Parameters: |
| Network topology; , set of nodes; , set of links. |
| Traffic matrix. |
| Launch power of each channel. |
| Defragmentation scheduling threshold. |
| Trained deep neural network model. |
| Lightpath selection policy. |
| Decision Variables: |
| Defragmented spectrum. |
| Blocking probability. |
| Number of total served demands. |
| Number of served demands before first blocking. |
| Number of served demands until 1% blocking. |
| Number of ongoing lightpaths. |
| Set of all ongoing lightpaths. |
| Set of ongoing safe lightpaths. |
| Operating frequency of the safe lightpath before hop retuning, where . |
| Operating frequency of the adjacent lightpath with respect to lightpath of interest . |
| Operating frequency of the safe lightpath after hop retuning, where . |
| Operating frequency of the lightpath before hop retuning, where . |
| Operating frequency of the lightpath after hop retuning, where . |
| OSNR of the ongoing safe lightpath. |
| OSNR of adjacent ongoing lightpath with operating frequency . |
| OSNR of the ongoing lightpath. |
| Fragmentation index of the network. |
| Cost of defragmentation. |
Algorithm 1.
NAD
| 1: Input: , , , , , ; |
| 2: Output: , , , , , ; |
| 3: for each demand request in sequentially do |
| 4: , , , , ; |
| 5: if ( mod ) then |
| 6: Pause RMSA and initiate defragmentation; |
| 7: , ; |
| 8: for each safe lightpath in sequentially do |
| 9: ; |
| 10: Spectral occupancy; |
| 11: Update ; |
| 12: Update ; |
| 13: Number of shifted lightpaths; |
| 14: (, ); |
| 15: (, ); |
| 16: Resume RMSA; |
| 17: else |
| 18: Continue; |
| 19: , ; |
Algorithm 2.
NUD
| 1: Input: , , ; |
| 2: Output: , , , , , ; |
| 3: for each demand request in sequentially do |
| 4: , , , , ; |
| 5: if ( mod ) then |
| 6: Pause RMSA and initiate defragmentation; |
| 7: for each lightpath in sequentially do |
| 8: ; |
| 9: Spectral occupancy; |
| 10: Update ; |
| 11: Update ; |
| 12: Number of shifted lightpaths; |
| 13: (, ); |
| 14: Update ; |
| 15: Resume RMSA; |
| 16: else |
| 17: Continue; |
| 18: , ; |
Table 6.
Number of Served Demands before First Blocking for the BT-UK Network
| Strategy | Launch Power (dBm) | Served Demands |
|---|
| NUD | −4 | 1191 |
| NAD | −4 | 1234 |
| NUD | −3 | 1069 |
| NAD | −3 | 1183 |
| NUD | −1.5 | 882 |
| NAD | −1.5 | 1003 |
Table 7.
Number of Served Demands at 1% Blocking for the BT-UK Network
| Strategy | Launch Power (dBm) | Served Demands |
|---|
| NUD | −4 | 1518 |
| NAD | −4 | 1615 |
| NUD | −3 | 1501 |
| NAD | −3 | 1673 |
| NUD | −1.5 | 1350 |
| NAD | −1.5 | 1552 |
Table 8.
Number of Served Demands before First Blocking for the USA Network
| Strategy | Launch Power (dBm) | Served Demands |
|---|
| NUD | −4 | 250 |
| NAD | −4 | 350 |
| NUD | −3 | 250 |
| NAD | −3 | 350 |
| NUD | −1.5 | 250 |
| NAD | −1.5 | 300 |
Table 9.
Number of Served Demands at 1% Blocking for the USA Network
| Strategy | Launch Power (dBm) | Served Demands |
|---|
| NUD | −4 | 376 |
| NAD | −4 | 421 |
| NUD | −3 | 365 |
| NAD | −3 | 450 |
| NUD | −1.5 | 322 |
| NAD | −1.5 | 383 |
Table 10.
Normalized Cost, FI, and CAASR for the BT-UK Network
| Strategy | Normalized Cost | FI | CAASR |
|---|
| NUD | 1 | 0.69 | 0.31 |
| NAD | 0.16 | 0.88 | 0.12 |
Table 11.
Normalized Cost, FI, and CAASR for the USA Network
| Strategy | Normalized Cost | FI | CAASR |
|---|
| NUD | 1 | 0.01 | 0.99 |
| NAD | 0.0 | 0.73 | 0.27 |