Solving school bus routing problems through integer programming
Solving school bus routing problems through integer programming
In this paper, an exact solution approach is described for solving a real-life school bus routing problem (SBRP) for transporting the students of an elementary school throughout central Ankara, Turkey. The problem is modelled as a capacitated and distance constrained open vehicle routing problem and an associated integer linear program is presented. The integer program borrows some well-known inequalities from the vehicle routing problem, which are also shown to be valid for the SBRP under consideration. The optimal solution of the problem is computed using the proposed formulation, resulting in a saving of up to 28.6% in total travelling cost as compared to the current implementation.
school bus routing, integer programming, exact solution, open vehicle routing problem, capacity constraints, distance constraints
1599-1604
Bektas, T.
0db10084-e51c-41e5-a3c6-417e0d08dac9
Elmastas, S.
3da078ac-5bab-4266-a901-a36acf713bd0
6 December 2007
Bektas, T.
0db10084-e51c-41e5-a3c6-417e0d08dac9
Elmastas, S.
3da078ac-5bab-4266-a901-a36acf713bd0
Bektas, T. and Elmastas, S.
(2007)
Solving school bus routing problems through integer programming.
Journal of the Operational Research Society, 58 (12), .
(doi:10.1057/palgrave.jors.2602305).
Abstract
In this paper, an exact solution approach is described for solving a real-life school bus routing problem (SBRP) for transporting the students of an elementary school throughout central Ankara, Turkey. The problem is modelled as a capacitated and distance constrained open vehicle routing problem and an associated integer linear program is presented. The integer program borrows some well-known inequalities from the vehicle routing problem, which are also shown to be valid for the SBRP under consideration. The optimal solution of the problem is computed using the proposed formulation, resulting in a saving of up to 28.6% in total travelling cost as compared to the current implementation.
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Published date: 6 December 2007
Keywords:
school bus routing, integer programming, exact solution, open vehicle routing problem, capacity constraints, distance constraints
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Local EPrints ID: 47178
URI: http://eprints.soton.ac.uk/id/eprint/47178
ISSN: 0160-5682
PURE UUID: 54397d79-ec25-483e-b73b-d30e62d98e20
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Date deposited: 03 Aug 2007
Last modified: 15 Mar 2024 09:32
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Author:
T. Bektas
Author:
S. Elmastas
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