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| Set of origins between the OD pairs |
| Set of destinations between the OD pairs |
| Set of links tolled on the road network |
| Set of noncyclic paths connecting the OD pair on the road network |
| The set of noncyclic paths connecting the OD pair on the rail network |
| perceived path travel cost on path on the road network |
| Actual path travel cost on path on the road network |
| Random error term on path on the road network, and |
| Expected perceived travel cost between OD pair on the road network |
| Constant travel cost between OD pair on the rail network |
| Commonality factor on path |
| Path choice probability of path on the road network |
| Flow on path |
| Flow on link |
| Travel cost on link |
| Demand between OD pair on the road network |
| Demand between OD pair on the rail network |
| Total demand between OD pair on the bimodal network, |
| Link-path matrix, if path uses link , and 0 otherwise |
| OD pair-path matrix, if path connects the OD pair , and 0 otherwise |
| Perception parameter, describe the degree of dispersion of the network, |
| Scaling parameter, describe the characteristics of the traveler’s behavior regarding mode split, |
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