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Trip distribution gravity model (related to populations)

Description

Trip distribution (or destination choice or zonal interchange analysis) is the second component (after trip generation, but before mode choice and route assignment) in the traditional four-step transportation forecasting model. This step matches tripmakers’ origins and destinations to develop a “trip table”, a matrix that displays the number of trips going from each origin to each destination. Historically, this component has been the least developed component of the transportation planning model.

Related formulas

Variables

Tijtrips from i to j (dimensionless)
aparameter a (dimensionless)
Pipopulation of i (dimensionless)
Pjpopulation of j (dimensionless)
Cijtravel cost from i to j (dimensionless)
bparameter b (dimensionless)