In response to the unprecedented challenges facing today’s transportation system, curb space has become a critical interface between infrastructure and diverse transportation users. Over the past decade, demand for curb space has surged in both diversity and intensity, driven by various technological advancements. Effectively managing this demand is essential for integrating emerging mobility options into urban environments, ensuring equitable access, and maintaining proximity to key urban activities.
My doctoral dissertation focuses on developing mathematical frameworks to analyze the dynamics of curb space. Through my research projects, I explore various components of curb space operations, including constructing network and infrastructure models, designing efficient operational policies, analyzing user behaviors using data, and developing solution algorithms and software tools. These mathematical approaches aim to identify socially optimal solutions and facilitate user adaptation to emerging curb space strategies.
I propose a foundational work that allows curb space as a shared resource in urban environments, where its utilization is maximized under dynamic usage allocation and pricing schemes.
Dynamic policy
Infrastructure management
Stackelberg game
Bi-level optimization
Benders decomposition
I suggest how spatial heterogeneity and time-varying preferences of decentralized users can be integrated into curb pricing strategies to enhance the utilities of both the curb space operator and the users.
Spatiotemporal pricing
Subsidy program
Mathematical programs with complementarity constraints (MPCC)
Lagrangian relaxation
I design resilient curb space development planning under fluctuating paces of technological development, changing budget availability, and increasing demand uncertainty.
Infrastructure planning
Electrification
Stochastic optimization
Sample average approximation (SAA)
Column generation
I develop a microsimulation model that examines the dynamic interactions among users of multiple curb space usages while jointly responding to curb space operational policies, individual characteristics, and actions of other users.
Microscopic simulation
Simulation of Urban MObility (SUMO)
Behavioral analysis
Illegal behaviors
I dissect the impacts of selfish curb user behaviors on system utility and examine how to remedy them through appropriate regulatory measures.
Regulatory level
Selfish behavior modeling
Multi-leader multi-follower game
Multi-objective optimization
Equilibrium modeling
I formulate a mixed-integer linear program to extend bicycle networks within a budget, aiming to maximize potential cyclists, minimize route deviations, and increase bicycle mode share on the curb.
The Bicycle Network Improvement Problem (BNIP)
Cycling
Protected infrastructure
Benders decomposition
Myopic planning