Modeling shared parking services at spatially correlated locations through a weibit-based combined destination and parking choice equilibrium model

This paper proposes a weibit-based equilibrium choice model for investigating the effect of the emerging shared parking services, which have recently received increasing interest, on combined destination location and parking choice behaviors. The model considers the features of shared parking services, including the avoidance of cruising to search for a parking space and limited supply of shared parking spaces. The spatial similarity issues of destination and parking choices, i.e., the correlations among spatially adjacent destination locations and the parking spaces around them, are separately considered through the advanced spatially correlated weibit (SCW) model and parking-size weibit (PSW) model, respectively. Subsequently, an equivalent mathematical programming (MP) formulation of the equilibrium SCW-PSW model is developed, which guarantees the existence and uniqueness of the solutions. Based on the MP formulation, a partial linearization algorithm embedded with the iterative balancing direction-finding scheme and self-regulated averaging line search scheme is developed to solve the proposed equilibrium model. Numerical examples are presented to illustrate the properties of the proposed model and its applicability to analyzing planning scenarios with different shared parking supplies.