Cristin-resultat-ID: 1049045
Sist endret: 18. september 2013, 14:50
NVI-rapporteringsår: 2013
Resultat
Vitenskapelig artikkel
2013

A metaheuristic for the school bus routing problem with bus stop selection

Bidragsytere:
  • Patrick Schittekat
  • Joris Kinable
  • Kenneth Sørensen
  • Marc Sevaux
  • Frits Spieksma og
  • Johan Springael

Tidsskrift

European Journal of Operational Research
ISSN 0377-2217
e-ISSN 1872-6860
NVI-nivå 2

Om resultatet

Vitenskapelig artikkel
Publiseringsår: 2013
Volum: 229
Hefte: 2
Sider: 518 - 528

Importkilder

Isi-ID: 000319307600023

Beskrivelse Beskrivelse

Tittel

A metaheuristic for the school bus routing problem with bus stop selection

Sammendrag

Existing literature on routing of school buses has focused mainly on building intricate models that attempt to capture as many real-life constraints and objectives as possible. In contrast, the focus of this paper is on understanding the joint problem of bus route generation and bus stop selection – two important sub-problems – in its most basic form. To this end, this paper defines the school bus routing problem (SBRP) as a variant of the vehicle routing problem in which three simultaneous decisions have to be made: (1) determine the set of stops to visit, (2) determine for each student which stop (s)he should walk to, and (3) determine routes that lie along the chosen stops, so that the total traveled distance is minimized. An MIP model of this basic problem is developed. To increase the practical usefulness and to solve large instances of the SBRP, an efficient parameter-free GRASP + VND metaheuristic is developed. This method is a matheuristic since it uses an exact algorithm to optimally solve the sub-problem of assigning students to stops when routes are given. The results of this matheuristic approach on 112 artificially generated instances are compared to solutions found by a sequential method, to solutions obtained by implementing a MIP model in a commercial solver, and to a lower bound obtained by a dedicated column generation approach. Using appropriate statistical techniques, a neighborhood analysis is performed to test the design of the metaheuristic. Similarly, the characteristics of the problem instance that determine the computing time of the metaheuristic are discovered using statistical analysis. Finally, the importance of integrating all decisions in a single model is shown experimentally by comparing the metaheuristic to a sequential method. Experiments show that the matheuristic exhibits excellent performance and finds optimal or close-to-optimal solutions of large instances of the SBRP in very limited computing times.

Bidragsytere

Patrick Schittekat

  • Tilknyttet:
    Forfatter
    ved Mathematics and Cybernetics ved SINTEF AS
  • Tilknyttet:
    Forfatter
    ved Universiteit Antwerpen

Joris Kinable

  • Tilknyttet:
    Forfatter
    ved UC Leuven-Limburg

Kenneth Sørensen

  • Tilknyttet:
    Forfatter
    ved Universiteit Antwerpen

Marc Sevaux

  • Tilknyttet:
    Forfatter
    ved Université Bretagne Sud

Frits Spieksma

  • Tilknyttet:
    Forfatter
    ved UC Leuven-Limburg
1 - 5 av 6 | Neste | Siste »