Date of Award

Fall 2019

Degree Type

Open Access Dissertation

Degree Name

Mathematics, PhD


Institute of Mathematical Sciences

Advisor/Supervisor/Committee Chair

Henry Schellhorn

Dissertation or Thesis Committee Member

Marina Chugunova

Dissertation or Thesis Committee Member

Ali Nadim

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Rights Information

© 2019 Yuan Cheng


Financial; Self-driving; Traffic

Subject Categories



Self-driving cars have the potential to decrease congestion and will probably become the future of efficient transportation. This dissertation presents a unique approach to implement sharing lanes on a freeway using the idea of option pricing. A macroscopic physical model (LWR) is implemented by adding noise to the speed which accounts for unexpected events. We then proceed to provide a fair price for lanes in real time.

Included in

Mathematics Commons