Table 4 Notations in the carpooling order-matching model

From: Estimating emissions reductions with carpooling and vehicle dispatching in ridesourcing mobility

Parameters

 

\({t}_{i}^{p}\)

Expected departure time of trip i

\({t}_{j}^{p}\)

Expected departure time of trip j

\({t}_{i}^{a}\)

Expected arrival time of the trip i

\({t}_{j}^{a}\)

Expected arrival time of the trip j

\({O}_{i}\)

Shared vehicle pick-up location of trip i

\({D}_{i}\)

Shared vehicle drop-off location of trip i

\(T\left({O}_{i},{O}_{j}\right)\)

Travel time between pick-up location of trip i and pick-up location of trip j

\(T\left({O}_{j},{D}_{i}\right)\)

Travel time between pick-up location of trip j and drop-off location of trip i

\(T\left({D}_{i},{D}_{j}\right)\)

Travel time between drop-off location of trip i and drop-off location of trip j

\(\varGamma \left({O}_{i},{D}_{i}\right)\)

Travel distance between pick-up location of trip i and drop-off location of trip i

\(\varGamma \left({O}_{i},{O}_{j}\right)\)

Travel distance between pick-up location of trip i and pick-up location of trip j

\(\varGamma \left({D}_{i},{D}_{j}\right)\)

Travel distance between drop-off location of trip i and drop-off location of trip j

\(\delta\)

Maximum waiting time between two consecutive trips

\(\varDelta\)

Maximum allowable delay for passengers

\({t}_{i}^{{a}^{{\prime} }}\)

Actual arrival time of the trip i

\({t}_{j}^{{a}^{{\prime} }}\)

Actual arrival time of the trip j