1 Introduction
2 Literature review
3 Model development
3.1 Notation
3.2 Energy and emission cost considering locomotive assignment
3.3 Total passenger-time
3.4 Constraints with locomotive assignment and segment emission
3.5 Multi-objective model
4 Model solution
5 Numerical example
5.1 Example description
Parameter | Value | Parameter | Value |
---|---|---|---|
\( N_{11} \)
| 100 |
\( k_{0}^{l1} \)
| 2.28 |
\( N_{21} \)
| 100 |
\( k_{1}^{l1} \)
| 0.0293 |
\( N_{31} \)
| 200 |
\( k_{2}^{l1} \)
| 0.000178 |
\( Y_{12} \)
| 50 |
\( k_{0}^{l2} \)
| 2.40 |
\( Y_{22} \)
| 50 |
\( k_{1}^{l2} \)
| 0.0022 |
\( Y_{32} \)
| 50 |
\( k_{2}^{l1} \)
| 0.000391 |
\( Z_{12} \)
| 50 |
\( k_{0}^{l3} \)
| 0.86 |
\( Z_{22} \)
| 50 |
\( k_{1}^{l3} \)
| 0.0054 |
\( Z_{32} \)
| 50 |
\( k_{2}^{l3} \)
| 0.000218 |
\( u\_v_{iq} \)
| 140 |
\( l\_v_{iq} \)
| 0 |
\( \theta_{q} \)
| 0 |
\( \lambda_{{\rm co}_{2}} \)
| 80 |
\( Z_{22} \)
| 50 |
\( k_{2}^{2} \)
| 0.000145 |
\( Z_{32} \)
| 50 |
\( k_{0}^{3} \)
| 1.61 |
\( u\_v_{iq} \)
| 140 |
\( k_{1}^{3} \)
| 0.0040 |
\( \theta_{q} \)
| 0 |
\( k_{2}^{3} \)
| 0.000187 |
\( Z_{22} \)
| 50 |
\( X_{i}^{{O_{i} }} \)
| 0 |
\( M_{l1} \)
| 135 |
\( \eta_{{\rm co}_{2} ,l3} \)
| 0.0008 |
\( M_{l2} \)
| 138 |
\( \eta_{{\rm NO}_{x},l1} \)
| 0.000012 |
\( M_{l3} \)
| 141 |
\( \eta_{{\rm NO}_{x},l2} \)
| 0.000014 |
\( M_{1} \)
| 500 |
\( \eta_{{\rm NO}_{x},l3} \)
| 0.000016 |
\( M_{2} \)
| 430 |
\( \eta_{{\rm PM},l1} \)
| 0.0000012 |
\( M_{3} \)
| 460 |
\( \eta_{{\rm PM},l2} \)
| 0.0000014 |
\( r_{1} ,r_{2} ,r_{3} \)
| 2 × 107 |
\( \eta_{{\rm PM},l3} \)
| 0.0000016 |
\( \eta_{{\rm co}_{2} ,l1} \)
| 0.0006 |
\( h_{q} \)
| 300 |
\( \eta_{{\rm co}_{2} ,l2} \)
| 0.0007 |
\( \Updelta_{{\rm co}_{2}} \)
| 1 |
\( X_{i}^{{D_{i} }} \)
| 7,200 |
\( w_{i2} \)
| 200 |
\(\text{ big}M \)
| 100,000 |
\( g \)
| 9.81 |
\( c \)
| 1 |