Reliability Optimization of a Railway Network
Abstract
:1. Introduction
2. Related Works
3. Definitions of Reliability and Reliability Optimization Model of a Railway Network
3.1. Small Cases and the Concept of Reliability
3.1.1. Case 1
3.1.2. Case 2
3.1.3. Case 3
3.2. Definition of Connection Reliability
3.3. Reliability Network Optimization Model Based on Reliability
4. Computing Case
5. Results Analysis
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A
References
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Plan 1 | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
1 | - | 0.88192 | 0.82432 | 0.88192 | 0.82432 |
2 | - | 0.88192 | 0.82432 | 0.82432 | |
3 | - | 0.82432 | 0.88192 | ||
4 | - | 0.88192 | |||
5 | - |
Plan 2 | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
1 | - | 0.8 | 0.72192 | 0.72192 | 0.8704 |
2 | - | 0.9024 | 0.9024 | 0.8704 | |
3 | - | 0.8704 | 0.9024 | ||
4 | - | 0.9024 | |||
5 | - |
Plan 3 | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
1 | - | 0.928 | 0.7424 | 0.928 | 0.59392 |
2 | - | 0.8 | 0.928 | 0.64 | |
3 | - | 0.7424 | 0.8 | ||
4 | - | 0.59392 | |||
5 | - |
City | Abbreviation |
---|---|
Liaocheng | LC |
Heze | HZ |
Jining | JNI |
Dezhou | DZ |
Jinan | JNA |
Taian | TA |
Qufu | QF |
Zaozhuang | ZZ |
Laiwu | LW |
Linyi | LY |
Dongying | DY |
Zibo | ZB |
Rizhao | RZ |
Weifang | WF |
Qingdao | QD |
Taocun | TC |
Yantai | YT |
Weihai | WH |
LC | HZ | JNI | DZ | JNA | TA | QF | ZZ | LW | LY | DY | ZB | RZ | WF | QD | TC | YT | WH | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
LC | 145 | 128 | 113 | 103 | 103 | 133 | 219 | 153 | 260 | 261 | 189 | 335 | 284 | 393 | 464 | 490 | 557 | |
HZ | - | 255 | 215 | 178 | 141 | 172 | 226 | 259 | 375 | 287 | 364 | 366 | 450 | 553 | 588 | 644 | ||
JNI | 227 | 146 | 98 | - | 92 | 132 | 162 | 292 | 203 | 264 | 272 | 348 | 454 | 490 | 545 | |||
DZ | - | - | - | - | 179 | 313 | 202 | 165 | 361 | 259 | 389 | 422 | 447 | 507 | ||||
JNA | - | - | - | 67 | 203 | 161 | 83 | 255 | 180 | 298 | 361 | 392 | 452 | |||||
TA | - | - | 57 | 166 | 196 | 108 | 235 | 192 | 296 | 376 | 412 | 469 | ||||||
QF | - | 94 | - | 252 | 164 | 227 | 227 | 308 | 413 | 446 | 501 | |||||||
ZZ | 160 | 100 | 315 | 232 | 211 | 267 | 310 | 433 | 473 | 524 | ||||||||
LW | 135 | 160 | 72 | 186 | 139 | 239 | 323 | 360 | 417 | |||||||||
LY | 260 | 191 | - | 191 | 211 | 339 | 380 | 430 | ||||||||||
DY | 88 | 236 | 91 | 214 | 218 | 243 | 302 | |||||||||||
ZB | 203 | 99 | 224 | 275 | 308 | 367 | ||||||||||||
RZ | 147 | 105 | 244 | 285 | 328 | |||||||||||||
WF | 130 | 183 | 218 | 276 | ||||||||||||||
QD | 142 | 181 | 221 | |||||||||||||||
TC | 39 | 94 | ||||||||||||||||
YT | 57 | |||||||||||||||||
WH |
LC | HZ | JNI | DZ | JNA | TA | QF | ZZ | LW | LY | DY | ZB | RZ | WF | QD | TC | YT | WH | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
LC | 0.9150 | 0.9132 | 0.9089 | 0.9111 | 0.9116 | 0.9127 | 0.9117 | 0.8893 | 0.9096 | 0.8746 | 0.9110 | 0.9076 | 0.9094 | 0.9064 | 0.8217 | 0.7995 | 0.7917 | |
HZ | 0.9980 | 0.9173 | 0.9958 | 0.9963 | 0.9975 | 0.9964 | 0.9719 | 0.9941 | 0.9738 | 0.9957 | 0.9919 | 0.9939 | 0.9907 | 0.8981 | 0.8738 | 0.8654 | ||
JNI | 0.9954 | 0.9978 | 0.9983 | 0.9995 | 0.9984 | 0.9738 | 0.9961 | 0.9578 | 0.9977 | 0.9939 | 0.9959 | 0.9927 | 0.8999 | 0.8756 | 0.8671 | |||
DZ | 0.9981 | 0.9976 | 0.9959 | 0.9948 | 0.9969 | 0.993 | 0.9581 | 0.9980 | 0.9903 | 0.9947 | 0.9930 | 0.9002 | 0.8759 | 0.8673 | ||||
JNA | 0.9995 | 0.9983 | 0.9972 | 0.9988 | 0.9949 | 0.9599 | 0.9999 | 0.9927 | 0.9981 | 0.9949 | 0.9019 | 0.8775 | 0.8690 | |||||
TA | 0.9988 | 0.9977 | 0.9755 | 0.9954 | 0.9599 | 0.9999 | 0.9932 | 0.9981 | 0.9949 | 0.9019 | 0.8775 | 0.8690 | ||||||
QF | 0.9989 | 0.9743 | 0.9966 | 0.9589 | 0.9987 | 0.9944 | 0.9969 | 0.9937 | 0.9008 | 0.8765 | 0.8679 | |||||||
ZZ | 0.9732 | 0.9955 | 0.9578 | 0.9976 | 0.9933 | 0.9958 | 0.9926 | 0.8998 | 0.8755 | 0.8669 | ||||||||
LW | 0.9710 | 0.9168 | 0.9550 | 0.9689 | 0.9532 | 0.9502 | 0.8614 | 0.8381 | 0.8299 | |||||||||
LY | 0.9556 | 0.9953 | 0.9987 | 0.9935 | 0.9903 | 0.8977 | 0.8735 | 0.8650 | ||||||||||
DY | 0.9600 | 0.9534 | 0.9583 | 0.9552 | 0.8659 | 0.8425 | 0.8343 | |||||||||||
ZB | 0.9931 | 0.9982 | 0.9950 | 0.9020 | 0.8776 | 0.8691 | ||||||||||||
RZ | 0.9913 | 0.9881 | 0.8957 | 0.8716 | 0.8631 | |||||||||||||
WF | 0.9968 | 0.9036 | 0.8792 | 0.8706 | ||||||||||||||
QD | 0.9065 | 0.8820 | 0.8734 | |||||||||||||||
TC | 0.9730 | 0.9635 | ||||||||||||||||
YT | 0.9375 | |||||||||||||||||
WH |
Connection Reliability before Optimization | Connection Reliability after Optimization | Difference | |
---|---|---|---|
LC | 0.8885 | 0.9870 | 0.0985 |
HZ | 0.9627 | 0.9803 | 0.0176 |
JNI | 0.9677 | 0.9911 | 0.0234 |
DZ | 0.9633 | 0.9867 | 0.0234 |
JNA | 0.9697 | 0.9927 | 0.0230 |
TA | 0.9685 | 0.9914 | 0.0229 |
QF | 0.9683 | 0.9911 | 0.0228 |
ZZ | 0.9672 | 0.9902 | 0.0230 |
LW | 0.9411 | 0.9651 | 0.0240 |
LY | 0.9656 | 0.9745 | 0.0089 |
DY | 0.9319 | 0.9690 | 0.0371 |
ZB | 0.9673 | 0.9886 | 0.0213 |
RZ | 0.9636 | 0.9794 | 0.0158 |
WF | 0.9663 | 0.9894 | 0.0231 |
QD | 0.9645 | 0.9750 | 0.0105 |
TC | 0.8996 | 0.9653 | 0.0657 |
YT | 0.8769 | 0.9408 | 0.0639 |
WH | 0.8689 | 0.9380 | 0.0691 |
LC | HZ | JNI | DZ | JNA | TA | QF | ZZ | LW | LY | DY | ZB | RZ | WF | QD | TC | YT | WH | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
LC | 0.9150 | 0.9997 | 0.9986 | 0.9986 | 0.9998 | 0.9997 | 0.9986 | 0.9974 | 0.9963 | 0.9957 | 0.9985 | 0.9941 | 0.994 | 0.9963 | 0.9865 | 0.9599 | 0.9506 | |
HZ | 0.9980 | 0.9137 | 0.9995 | 0.9996 | 0.9975 | 0.9964 | 0.9751 | 0.9941 | 0.9966 | 0.9994 | 0.9919 | 0.9963 | 0.9941 | 0.9866 | 0.9600 | 0.9506 | ||
JNI | 0.9978 | 0.9997 | 0.9983 | 0.9995 | 0.9984 | 0.9738 | 0.9961 | 0.9968 | 0.9982 | 0.9939 | 0.9963 | 0.9986 | 0.9888 | 0.9621 | 0.9527 | |||
DZ | 0.9981 | 0.9976 | 0.9964 | 0.9953 | 0.9969 | 0.9930 | 0.9971 | 0.9996 | 0.9908 | 0.9962 | 0.9986 | 0.9888 | 0.9621 | 0.9527 | ||||
JNA | 0.9995 | 0.9983 | 0.9972 | 0.9988 | 0.9949 | 0.9971 | 0.9999 | 0.9927 | 0.9981 | 0.9989 | 0.9891 | 0.9624 | 0.9530 | |||||
TA | 0.9988 | 0.9977 | 0.9755 | 0.9954 | 0.9966 | 0.9999 | 0.9932 | 0.9981 | 0.9989 | 0.9891 | 0.9624 | 0.9530 | ||||||
QF | 0.9989 | 0.9743 | 0.9966 | 0.9954 | 0.9987 | 0.9944 | 0.9998 | 0.9966 | 0.9891 | 0.9624 | 0.9530 | |||||||
ZZ | 0.9732 | 0.9955 | 0.9943 | 0.9988 | 0.9933 | 0.9987 | 0.9955 | 0.988 | 0.9613 | 0.9520 | ||||||||
LW | 0.9969 | 0.9168 | 0.9550 | 0.9947 | 0.9533 | 0.9502 | 0.9447 | 0.9192 | 0.9102 | |||||||||
LY | 0.9597 | 0.9997 | 0.9987 | 0.9974 | 0.9975 | 0.9042 | 0.8798 | 0.8712 | ||||||||||
DY | 0.9600 | 0.9581 | 0.9932 | 0.9929 | 0.9273 | 0.9023 | 0.8935 | |||||||||||
ZB | 0.9957 | 0.9982 | 0.999 | 0.9892 | 0.9625 | 0.9531 | ||||||||||||
RZ | 0.9975 | 0.9999 | 0.9064 | 0.8819 | 0.9733 | |||||||||||||
WF | 0.9968 | 0.9893 | 0.9626 | 0.9532 | ||||||||||||||
QD | 0.9065 | 0.8820 | 0.8734 | |||||||||||||||
TC | 0.9730 | 0.9635 | ||||||||||||||||
YT | 0.9375 | |||||||||||||||||
WH |
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Meng, X.; Wang, Y.; Jia, L.; Li, L. Reliability Optimization of a Railway Network. Sustainability 2020, 12, 9805. https://doi.org/10.3390/su12239805
Meng X, Wang Y, Jia L, Li L. Reliability Optimization of a Railway Network. Sustainability. 2020; 12(23):9805. https://doi.org/10.3390/su12239805
Chicago/Turabian StyleMeng, Xuelei, Yahui Wang, Limin Jia, and Lei Li. 2020. "Reliability Optimization of a Railway Network" Sustainability 12, no. 23: 9805. https://doi.org/10.3390/su12239805