Transit network design with stochastic demand

Kun An, Hong K Lo

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Researchpeer-review


This chapter studies transit network design with stochastic demand by considering two types of services—rapid transit services, such as rail, and flexible services, such as dial-a-ride shuttles. Rapid transit services operate on fixed routes and dedicated lanes, and with fixed schedules, whereas dial-a-ride services can make use of the existing road network; hence are much more economical to implement. We integrate these two service networks into one
multi-modal network and then determine the optimal combination of these two service types under user equilibrium (UE) flows. Two approaches are used to address the issue of stochastic demand: one is robust optimization; the other is stochastic programming. The robust optimization approach assumes that the stochastic demand is captured in a polyhedral uncertainty set. The UE principle is
represented by a set of variational inequality (VI) constraints.
Original languageEnglish
Title of host publicationModelling Intelligent Multi-Modal Transit Systems
EditorsAgostino Nuzzolo, William H. K. Lam
Place of PublicationBoca Raton FL USA
PublisherCRC Press
Number of pages35
ISBN (Electronic)9781498743549
ISBN (Print)9781498743532
Publication statusPublished - 2016


  • Congestion
  • Robust
  • Service reliability
  • Stochastic demand
  • Stochastic programming
  • Transit network design
  • User equilibrium

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