Research on Rural Logistics Terminal Distribution Efficiency Improvement in Rural Revitalization Strategy Assisted by Artificial Intelligence
Mar 19, 2025
About this article
Published Online: Mar 19, 2025
Received: Oct 31, 2024
Accepted: Feb 15, 2025
DOI: https://doi.org/10.2478/amns-2025-0432
Keywords
© 2025 Luping Song, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Figure 1.
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Numerical results of small instances
| Problem name | Problem size | AACO | ACO | ||||
|---|---|---|---|---|---|---|---|
| Z* | Enabled quantity | Error/% | Z* | Enabled quantity | Error/% | ||
| R101 | 3-10 | 36997 | 1-4 | 0.00 | 66263 | 2-7 | 0.02 |
| R102 | 3-10 | 35145 | 1-3 | 0.03 | 57981 | 2-7 | 0.29 |
| R103 | 3-10 | 35909 | 1-3 | 0.49 | 60625 | 2-8 | 0.30 |
| R104 | 3-10 | 30767 | 1-2 | 0.00 | 33135 | 1-5 | 0.01 |
| R105 | 3-10 | 33962 | 1-5 | 0.00 | 37681 | 1-10 | 1.23 |
| R106 | 3-10 | 32044 | 1-4 | 0.00 | 38927 | 1-8 | 0.30 |
| R107 | 3-10 | 31960 | 1-4 | 0.00 | 39681 | 1-8 | 1.03 |
| R108 | 3-10 | 31818 | 1-3 | 0.34 | 36388 | 1-6 | 0.58 |
| R109 | 3-10 | 32791 | 1-2 | 0.00 | 34148 | 1-5 | 0.27 |
| R110 | 3-10 | 31485 | 1-2 | 0.00 | 35882 | 1-6 | 0.00 |
| R112 | 3-10 | 31425 | 1-2 | 0.00 | 35493 | 1-5 | 0.32 |
| R105 | 3-25 | 55172 | 2-5 | 0.00 | 60608 | 2-8 | 0.83 |
| R106 | 3-25 | 55870 | 2-4 | 0.00 | 58718 | 2-8 | 0.21 |
| R107 | 3-40 | 82155 | 3-5 | 0.22 | 86005 | 3-7 | 0.37 |
| R108 | 3-40 | 83961 | 3-5 | 2.33 | 87197 | 3-8 | 3.31 |
| R110 | 3-40 | 83814 | 3-6 | 0.90 | 88944 | 3-9 | 1.20 |
| R112 | 3-40 | 82437 | 3-5 | 1.04 | 84390 | 3-9 | 1.99 |
| C101 | 3-25 | 58139 | 2-3 | 0.00 | 58977 | 2-6 | 0.24 |
| C102 | 3-25 | 57810 | 2-3 | 0.00 | 60318 | 2-6 | 0.07 |
| C103 | 3-25 | 57338 | 2-3 | 0.00 | 58974 | 2-7 | 0.37 |
| C104 | 3-25 | 58042 | 2-3 | 0.00 | 59697 | 2-6 | 0.21 |
| C105 | 3-25 | 58612 | 2-3 | 0.25 | 59619 | 2-8 | 0.00 |
| C106 | 3-25 | 58259 | 2-3 | 0.00 | 59410 | 2-8 | 0.28 |
| C107 | 3-25 | 59336 | 2-3 | 0.87 | 58724 | 2-7 | 0.26 |
| C108 | 3-25 | 57823 | 2-3 | 0.05 | 58363 | 2-6 | 0.37 |
| C109 | 3-25 | 57185 | 2-3 | 0.00 | 60336 | 2-8 | 0.07 |
Model suitability evaluation results
| Fitness indicator | Statistical measure | Recommended value | Actual fitting value | Adaptation evaluation results |
|---|---|---|---|---|
| Absolute fitting index | CHI/DF | (1,3) | 2.357 | Ideal |
| GFI | >0.9 | 0.889 | Passable | |
| RMSEA | <0.08 | 0.068 | Qualified | |
| Relative fitting index | IFI | >0.9 | 0.876 | Passable |
| CFI | >0.9 | 0.893 | Passable | |
| Simplicity adaptation index | PGFI | >0.5 | 0.561 | Qualified |
| PNFI | >0.5 | 0.574 | Qualified |
Model path coefficient estimation
| Model type | Variable relation | Normalized regression coefficient | The standard error of the estimation parameter | Critical ratio | Significance |
|---|---|---|---|---|---|
| Structural equation | QS←EB2 | 0.457 | 0.085 | 1.128 | ** |
| QS←IL | 0.958 | 0.129 | 11.205 | *** | |
| EB1←QS | 0.982 | 0.084 | 13.247 | *** | |
| EBI←OE | 0.264 | 0.213 | 1.436 | ** | |
| EBI←ID | 0.323 | 0.232 | 1.752 | ** | |
| Measurement equation | X1←QS | 0.661 | 0.061 | 8.414 | *** |
| X2←QS | 0.925 | 0.072 | 12.438 | *** | |
| X3←QS | 0.792 | - | - | - | |
| X4←QS | 0.851 | - | - | - | |
| X5←QS | 0.928 | 0.086 | 14.203 | *** | |
| X6←QS | 0.794 | 0.079 | 11.251 | *** | |
| X7←QS | 0.879 | 0.088 | 11.987 | *** | |
| X8←QS | 0.943 | 0.080 | 14.125 | *** | |
| X9←IL | 0.844 | - | - | - | |
| X10←IL | 0.796 | 0.097 | 11.127 | *** | |
| X11←IL | 0.883 | 0.142 | 12.340 | *** | |
| X12←EB2 | 0.589 | - | - | - | |
| X13←EB2 | 0.824 | 0.259 | 7.256 | *** | |
| X14←EB2 | 0.922 | 0.288 | 8.315 | *** | |
| X15←ID | 0.837 | - | - | - | |
| X16←ID | 0.928 | 0.087 | 14.023 | *** | |
| X17←ID | 0.795 | 0.103 | 11.208 | *** | |
| X18←OE | 0.902 | - | - | - | |
| X19←OE | 0.774 | 0.089 | 11.415 | *** | |
| X20←OE | 0.808 | 0.071 | 12.468 | *** |
Numerical results of large-scale instances
| Problem name | Problem size | AACO | ACO | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Z* | Enabled quantity | Error/% | Z* | Enabled quantity | Error/% | ||||
| R101 | 3-50 | 54471 | 2-11 | 0.02 | 55454 | 2-13 | 0.27 | ||
| R103 | 3-50 | 44567 | 2-8 | 0.03 | 50626 | 2-11 | 0.35 | ||
| R105 | 3-50 | 57161 | 2-8 | 3.57 | 63124 | 2-13 | 1.58 | ||
| R107 | 3-50 | 59978 | 2-6 | 0.04 | 63383 | 2-13 | 0.21 | ||
| R109 | 3-50 | 55578 | 2-7 | 0.02 | 60524 | 2-10 | 0.25 | ||
| R111 | 3-50 | 51209 | 2-6 | 0.23 | 53704 | 2-9 | 0.01 | ||
| R101 | 4-50 | 79985 | 3-11 | 0.01 | 80423 | 3-14 | 0.09 | ||
| R103 | 4-50 | 69772 | 3-8 | 0.00 | 72509 | 3-12 | 0.19 | ||
| R105 | 4-50 | 73655 | 3-8 | 0.2 | 74794 | 3-11 | 0.14 | ||
| R107 | 4-50 | 71807 | 3-6 | 0.00 | 75552 | 3-10 | 0.03 | ||
| R109 | 4-50 | 73031 | 3-7 | 0.00 | 74737 | 3-12 | 0.39 | ||
| R111 | 4-50 | 72617 | 3-6 | 0.02 | 73512 | 3-9 | 0.58 | ||
| R101 | 5-50 | 102625 | 4-11 | 0.01 | 116441 | 4-13 | 1.25 | ||
| R103 | 5-50 | 99020 | 4-8 | 0.02 | 104661 | 4-10 | 0.01 | ||
| R105 | 5-50 | 100330 | 4-8 | 0.47 | 107958 | 4-11 | 1.25 | ||
| R107 | 5-50 | 97618 | 4-6 | 0.56 | 104461 | 4-9 | 1 | ||
| R109 | 5-50 | 99952 | 4-7 | 0.82 | 104891 | 4-11 | 0.59 | ||
| R111 | 5-50 | 98772 | 4-6 | 0.58 | 102784 | 4-9 | 1.22 | ||
| C101 | 3-50 | 79301 | 3-5 | 0.03 | 80340 | 3-8 | 0.51 | ||
| C102 | 3-50 | 78063 | 3-5 | 0.05 | 81809 | 3-7 | 0.21 | ||
| C103 | 3-50 | 79639 | 3-6 | 0.03 | 80458 | 3-8 | 0.33 | ||
| C104 | 3-50 | 79459 | 3-5 | 0.02 | 79781 | 3-8 | 0.67 | ||
| C105 | 3-50 | 80344 | 3-7 | 0.01 | 82754 | 3-9 | 0.27 | ||
| C106 | 3-50 | 79538 | 3-8 | 0.00 | 81385 | 3-9 | 0.02 | ||
| C107 | 3-50 | 81384 | 3-10 | 0.01 | 83391 | 3-12 | 0.78 | ||
| C108 | 3-50 | 79543 | 3-7 | 0.00 | 81144 | 3-10 | 0.41 | ||
| C109 | 3-50 | 80238 | 3-8 | 0.01 | 81064 | 3-9 | 0.82 | ||
| C101 | 5-50 | 98822 | 4-6 | 0.01 | 101709 | 4-8 | 0.19 | ||
| C102 | 5-50 | 99237 | 4-6 | 0.02 | 110225 | 4-9 | 0.42 | ||
| C103 | 5-50 | 122854 | 5-6 | 9.97 | 138197 | 5-9 | 21.04 | ||
| C104 | 5-50 | 124010 | 5-7 | 10.68 | 135480 | 5-11 | 22.15 | ||
| C105 | 5-50 | 98611 | 4-6 | 0.01 | 102968 | 4-9 | 2.88 | ||
| C106 | 5-50 | 98117 | 4-6 | 0.02 | 100435 | 4-10 | 1.5 | ||
| C107 | 5-50 | 99178 | 4-6 | 0.03 | 100968 | 4-9 | 0.87 | ||
| C108 | 5-50 | 100515 | 4-8 | 0.03 | 101638 | 4-11 | 0.57 | ||
| C109 | 5-50 | 100958 | 4-9 | 2.26 | 101614 | 4-13 | 1.23 | ||
Reliability test results
| Latent variable | Measurable variable (Code) | Mean | Standard deviation | Factor load | Cronbach’s Alpha |
|---|---|---|---|---|---|
| Economic benefits | X1 | 3.42 | 0.758 | 0.792 | 0.826 |
| X2 | 3.94 | 1.164 | 0.743 | ||
| X3 | 3.97 | 1.325 | 0.825 | ||
| Quality of service | X4 | 3.81 | 1.417 | 0.763 | 0.948 |
| X5 | 3.92 | 1.453 | 0.849 | ||
| X6 | 3.95 | 1.215 | 0.726 | ||
| X7 | 3.93 | 1.402 | 0.794 | ||
| X8 | 3.95 | 1.379 | 0.858 | ||
| Informatization level | X9 | 3.11 | 1.024 | 0.737 | 0.862 |
| X10 | 3.10 | 0.976 | 0.728 | ||
| X11 | 3.83 | 1.421 | 0.794 | ||
| Ecological benefits | X12 | 3.98 | 0.957 | 0.735 | 0.837 |
| X13 | 3.93 | 1.203 | 0.783 | ||
| X14 | 3.84 | 1.215 | 0.821 | ||
| Industry development | X15 | 3.92 | 1.248 | 0.805 | 0.894 |
| X16 | 3.85 | 1.302 | 0.837 | ||
| X17 | 3.86 | 1.294 | 0.729 | ||
| Organizational efficiency | X18 | 3.77 | 1.259 | 0.796 | 0.861 |
| X19 | 3.54 | 1.326 | 0.747 | ||
| X20 | 3.71 | 1.137 | 0.772 | ||
| Total | 0.952 | ||||