This paper considers the minimum toll booth problem (MINTB) for determining a tolling strategy in a transportation network that requires the least number of toll locations, and simultaneously causes the most efficient use of the network. The paper develops a methodology for using the genetic algorithm to solve MINTB and presents the algorithm GAMINTB. The proposed method is tested and validated through a computational study with six example networks. Additional numerical test discovers some interesting properties for the proposed method, and provides guidelines for further application of the GAMINTB.
Bai, Lihui; Stamps, Matthew T.; Harwood, R. Corban; and Kollmann, Christopher J., "An Evolutionary Method for the Minimum Toll Booth Problem: the Methodology" (2008). Faculty Publications - Department of Mathematics. 14.