A mathematical formulation for a school bus routing problemA mathematical formulation for a school bus routing problem
Faculty of Applied Economics

Engineering Management

Mathematics, Statistics and Actuarial Sciences

conferenceObject

Los Alamitos, Calif. :IEEE, 2006[*]2006

Economics

Mathematics

Engineering sciences. Technology

International Conference on Service Systems and Service Management, October 25-27, 2006, Troyes, France

1-4244-0450-9

000242559100266

E

English (eng)

University of Antwerp

The school bus routing problem discussed in this paper, is similar to the standard vehicle routing problem, but has several interesting additional features. In the standard VRP all stops to visit are given. In our school bus routing problem, we assume that a set of potential stops is given, as well as a set of students that can walk to one or more of these potential stops. The school buses used to pick up the students and transport them to their schools have a finite capacity. The goal of this routing problem is to select a subset of stops that will actually be visited by the buses, determine which stop each student should walk to and develop a set of tours that minimize the total distance travelled by all buses. We develop an integer programming formulation for this problem, as well as a problem instance generator. We then show how the problem can be solved using a commercial integer programming solver and discuss some of our results on small instances.

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