Figure 1:
![NSGA-II flowchart [13]. NSGA-II, non-dominated sorting genetic algorithm II.](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/678caf4e082aa65dea3d247b/j_ijssis-2025-0035_fig_001.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKMOBUT7WC%2F20260221%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260221T221920Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjEOn%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaDGV1LWNlbnRyYWwtMSJIMEYCIQDReu5H%2F9R5IRgDvC00%2BN5Z2fj9q38RVfw9d07466IRfAIhAPrJJqrlrDHaVuPvSIzW7j4qSoua77lSNBEBptfJbM6VKsUFCLL%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEQAhoMOTYzMTM0Mjg5OTQwIgzaGxxzJiNlEvUVx%2B4qmQXcm7QX3EMJRqUA8xxMxzVDEFelKYAcZ4s2SZZ35JY7XovlW2z7%2F1g91L2Y2LDIayDkSP9P3hHivHPYgYrg%2BXyHV6UwRCB1RDlrht2x1EKhHCZVu9V8Qo9oUPeIdwpMKFOd6BqSDJYigK1ClohBM4rXo%2FeRO4EZ1RmE1zJR45U0pi2wAMTnVNx3%2Fpj2HYcuugdRa4FJ2O59ybvba5h29NLzclgBDD0u68jlV%2BBRw4apWgjDqvpVRdIjViJ4RXfWMitRtTCMxk2VV1GM4BosFYJshFqbNCZZQASjTvaRNqj5SHEz7DL2ueJo6aZNRo75jd37omy5bH3arTMmrgL5%2BBlhggEN2zeG%2BuQP5LR9wJglKw8BPMbZlUH2n3mwPbNN58PncG5bSGpMMMLnb03YFaM%2BH%2FgQFIIt1hhIfslkcr8%2BTJ12HfQPJA%2F6WVqv1oYqvdFbjmGOK7qYsydZYFOOLxY3Fzn%2BXGUc8WS7kMCgZK%2BHF%2FFIDOvgMyV2TA9A8979KPhjVJz6uQHUVrLpQo7aPPF9Vqr2AyMmo6miQdXw8Ej0sx9cRoB%2F0nkBMTnr3Q3kZ1EWOI2JZTlLjE8F1N%2B%2BWvU1U9aI5K7YVs00BH4g6RvYAve0ycWhqBn5oMIXeppmiTHmpnxvRZW8CaTjcVuqb%2BI%2F2rZ%2BHOtP8cpSn6hJt6e5FydpZqj0SdqYKZ6BUW7TmFYCJnCWOv3JlguIy44feTqpt3f1XWDljyvn%2F2HpgsiBUO9RH5scUSYpGitO0%2BGc90jWnrOokrgWNjW%2FPdZ0cKiyNmAH3KoKWahJ853e5QMJPcPlc93PGGNwSrm%2FAmlQVqpLZiDPnwMulwR1m2P%2FVpfIfx8VlCXE%2B0Apu0Wa7cX2RiNTq15dlT8ofDDFw%2BfMBjqwAXGiVGHY0J5aSjMnmArZ8rbEgR04kZytM5ZhyhILYMqkL8qTQCWj5QlD7ApIw7txUcJ5dV1txvenkPZixRgkB5Gh0Zjs4gqCiwG3XFCvdLngrDtxG%2BvpcM1bumq1%2BjBacBCnPZp5gxDM2zkKlYTeXtMYKJQCVe2KhqJY4cBcnLPgVjKl%2F%2FjaJQGJKO6lcGyrrMzeGBOSMIflEHmUZd3kBELnd4RumrUOt7qvwNEwSlrQ&X-Amz-Signature=056dec72a51db6e3ed028576b66cec8e539eaa7f11d62b7ba79bd41902e67f71&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 2:
![Flowchart of the Q-learning and NSGA-II hybrid combination [21]. NSGA-II, non-dominated sorting genetic algorithm II.](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/678caf4e082aa65dea3d247b/j_ijssis-2025-0035_fig_002.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKMOBUT7WC%2F20260221%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260221T221920Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjEOn%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaDGV1LWNlbnRyYWwtMSJIMEYCIQDReu5H%2F9R5IRgDvC00%2BN5Z2fj9q38RVfw9d07466IRfAIhAPrJJqrlrDHaVuPvSIzW7j4qSoua77lSNBEBptfJbM6VKsUFCLL%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEQAhoMOTYzMTM0Mjg5OTQwIgzaGxxzJiNlEvUVx%2B4qmQXcm7QX3EMJRqUA8xxMxzVDEFelKYAcZ4s2SZZ35JY7XovlW2z7%2F1g91L2Y2LDIayDkSP9P3hHivHPYgYrg%2BXyHV6UwRCB1RDlrht2x1EKhHCZVu9V8Qo9oUPeIdwpMKFOd6BqSDJYigK1ClohBM4rXo%2FeRO4EZ1RmE1zJR45U0pi2wAMTnVNx3%2Fpj2HYcuugdRa4FJ2O59ybvba5h29NLzclgBDD0u68jlV%2BBRw4apWgjDqvpVRdIjViJ4RXfWMitRtTCMxk2VV1GM4BosFYJshFqbNCZZQASjTvaRNqj5SHEz7DL2ueJo6aZNRo75jd37omy5bH3arTMmrgL5%2BBlhggEN2zeG%2BuQP5LR9wJglKw8BPMbZlUH2n3mwPbNN58PncG5bSGpMMMLnb03YFaM%2BH%2FgQFIIt1hhIfslkcr8%2BTJ12HfQPJA%2F6WVqv1oYqvdFbjmGOK7qYsydZYFOOLxY3Fzn%2BXGUc8WS7kMCgZK%2BHF%2FFIDOvgMyV2TA9A8979KPhjVJz6uQHUVrLpQo7aPPF9Vqr2AyMmo6miQdXw8Ej0sx9cRoB%2F0nkBMTnr3Q3kZ1EWOI2JZTlLjE8F1N%2B%2BWvU1U9aI5K7YVs00BH4g6RvYAve0ycWhqBn5oMIXeppmiTHmpnxvRZW8CaTjcVuqb%2BI%2F2rZ%2BHOtP8cpSn6hJt6e5FydpZqj0SdqYKZ6BUW7TmFYCJnCWOv3JlguIy44feTqpt3f1XWDljyvn%2F2HpgsiBUO9RH5scUSYpGitO0%2BGc90jWnrOokrgWNjW%2FPdZ0cKiyNmAH3KoKWahJ853e5QMJPcPlc93PGGNwSrm%2FAmlQVqpLZiDPnwMulwR1m2P%2FVpfIfx8VlCXE%2B0Apu0Wa7cX2RiNTq15dlT8ofDDFw%2BfMBjqwAXGiVGHY0J5aSjMnmArZ8rbEgR04kZytM5ZhyhILYMqkL8qTQCWj5QlD7ApIw7txUcJ5dV1txvenkPZixRgkB5Gh0Zjs4gqCiwG3XFCvdLngrDtxG%2BvpcM1bumq1%2BjBacBCnPZp5gxDM2zkKlYTeXtMYKJQCVe2KhqJY4cBcnLPgVjKl%2F%2FjaJQGJKO6lcGyrrMzeGBOSMIflEHmUZd3kBELnd4RumrUOt7qvwNEwSlrQ&X-Amz-Signature=9db69a8695c69b747ce04555a56906b829509e0041ab984724aad7ceca37fbb7&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 3:

Figure 4:

Figure 5:
![Stair-stepping effect due to layer stacking on an inclined surface [8].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/678caf4e082aa65dea3d247b/j_ijssis-2025-0035_fig_005.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKMOBUT7WC%2F20260221%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260221T221920Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjEOn%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaDGV1LWNlbnRyYWwtMSJIMEYCIQDReu5H%2F9R5IRgDvC00%2BN5Z2fj9q38RVfw9d07466IRfAIhAPrJJqrlrDHaVuPvSIzW7j4qSoua77lSNBEBptfJbM6VKsUFCLL%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEQAhoMOTYzMTM0Mjg5OTQwIgzaGxxzJiNlEvUVx%2B4qmQXcm7QX3EMJRqUA8xxMxzVDEFelKYAcZ4s2SZZ35JY7XovlW2z7%2F1g91L2Y2LDIayDkSP9P3hHivHPYgYrg%2BXyHV6UwRCB1RDlrht2x1EKhHCZVu9V8Qo9oUPeIdwpMKFOd6BqSDJYigK1ClohBM4rXo%2FeRO4EZ1RmE1zJR45U0pi2wAMTnVNx3%2Fpj2HYcuugdRa4FJ2O59ybvba5h29NLzclgBDD0u68jlV%2BBRw4apWgjDqvpVRdIjViJ4RXfWMitRtTCMxk2VV1GM4BosFYJshFqbNCZZQASjTvaRNqj5SHEz7DL2ueJo6aZNRo75jd37omy5bH3arTMmrgL5%2BBlhggEN2zeG%2BuQP5LR9wJglKw8BPMbZlUH2n3mwPbNN58PncG5bSGpMMMLnb03YFaM%2BH%2FgQFIIt1hhIfslkcr8%2BTJ12HfQPJA%2F6WVqv1oYqvdFbjmGOK7qYsydZYFOOLxY3Fzn%2BXGUc8WS7kMCgZK%2BHF%2FFIDOvgMyV2TA9A8979KPhjVJz6uQHUVrLpQo7aPPF9Vqr2AyMmo6miQdXw8Ej0sx9cRoB%2F0nkBMTnr3Q3kZ1EWOI2JZTlLjE8F1N%2B%2BWvU1U9aI5K7YVs00BH4g6RvYAve0ycWhqBn5oMIXeppmiTHmpnxvRZW8CaTjcVuqb%2BI%2F2rZ%2BHOtP8cpSn6hJt6e5FydpZqj0SdqYKZ6BUW7TmFYCJnCWOv3JlguIy44feTqpt3f1XWDljyvn%2F2HpgsiBUO9RH5scUSYpGitO0%2BGc90jWnrOokrgWNjW%2FPdZ0cKiyNmAH3KoKWahJ853e5QMJPcPlc93PGGNwSrm%2FAmlQVqpLZiDPnwMulwR1m2P%2FVpfIfx8VlCXE%2B0Apu0Wa7cX2RiNTq15dlT8ofDDFw%2BfMBjqwAXGiVGHY0J5aSjMnmArZ8rbEgR04kZytM5ZhyhILYMqkL8qTQCWj5QlD7ApIw7txUcJ5dV1txvenkPZixRgkB5Gh0Zjs4gqCiwG3XFCvdLngrDtxG%2BvpcM1bumq1%2BjBacBCnPZp5gxDM2zkKlYTeXtMYKJQCVe2KhqJY4cBcnLPgVjKl%2F%2FjaJQGJKO6lcGyrrMzeGBOSMIflEHmUZd3kBELnd4RumrUOt7qvwNEwSlrQ&X-Amz-Signature=9e99134fac14f8f510d7a06e7c3df5b411d39a8add741376230c462be3be47ec&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
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Dataset of 3D model
| No. | 3D model | Dimensions (cm) | Facet | Support area | Print time | Surface roughness | ||
|---|---|---|---|---|---|---|---|---|
| X | Y | Z | ||||||
| 1 | bunny | 0 | 0 | 0 | 292 | 2,168.3 | 1,023 | 101 |
Comparison of NSGAII with NSGAII-Q learning
| 3D model | Objective | NSGA_II | NSGAII-Q learning | Efficiency improvement |
|---|---|---|---|---|
| Bunny | Material support | 212,970 | 208,570 | 2.1 |
| Print time | 1,1847 | 11,393 | 3.8 | |
| Surface roughness | 1.08 | 1.06 | 1.9 |