Route Design Problem of Customized Buses: Mixed Integer Programming Model and Case Study

Rongge Guo, Wei Guan, Wenyi Zhang

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)


In recent years, the customized bus (CB) has been introduced and popularized in China to improve the attraction and service level of public transportation. A key point of the CB system, the route design problem, is always formulated as a vehicle routing problem with pickup and delivery (VRPPD). However, VRPPD cannot sufficiently describe the in-vehicle passengers of multiple vehicles involved. In this paper, a mixed integer programming model is developed to formulate a multivehicle routing problem, with suggestions for bus stop locations and routes. Meanwhile, the model can determine passenger-to-vehicle assignment based on a series of constraints, like operation standard and number of stations. In solving the problem, a numerical example is used to compare a genetic algorithm (GA) and branch-andcut algorithm. The comparison results illustrate that GA is more efficient with lower complexity. Finally, in order to apply and evaluate the proposed model, a real-world case study using smartcard data is conducted to compare the approach with the current CB route design method in Beijing.

Original languageEnglish
Article number04018069
JournalJournal of Transportation Engineering Part A: Systems
Issue number11
Early online date28 Aug 2018
Publication statusPublished - 1 Nov 2018
Externally publishedYes


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