We consider the problem of designing the public bus transit network of a medium size city. The goal is to produce bus routes so that the overall travelling time of the passengers is minimized. Our approach consists in breaking down the original problem into two smaller subproblems or phases. In the first phase we generate a large set of good candidate routes. We describe and implement five different route generation heuristics and compare their performance. In the second phase we take the candidate routes as input and use an integer programming model to choose the final set of routes. For the second phase we compare the commercial solver CPLEX with a Lagrangian relaxation approach. It turns out that this second method is much faster to produce solutions of similar quality.
By: Francisco Barahona, João P. M. Gonçalves, Richard Santiago, Chai Wah Wu
Published in: RC25639 in 2016
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