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ATMOS
2010

The Team Orienteering Problem: Formulations and Branch-Cut and Price

13 years 1 months ago
The Team Orienteering Problem: Formulations and Branch-Cut and Price
The Team Orienteering Problem is a routing problem on a graph with durations associated to the arcs and profits assigned to visiting the vertices. A fixed number of identical vehicles, with a limited total duration for their routes, is given. The total profit gathered by all routes is to be maximized. We devise an extended formulation where edges are indexed by the time they are placed in the route. A new class of inequalities, min cut, and the triangle clique cuts of Pessoa et. al., 2007 are added. The resulting formulation is solved by column generation. Branching is done following the work of Boussier et al. 2007, to which the branch-cut-and-price algorithm here proposed is compared. A few new upper bounds were obtained. Overall the presented approach has shown to be very competitive.
Marcus Poggi de Aragão, Henrique Viana, Edu
Added 12 Jan 2011
Updated 12 Jan 2011
Type Journal
Year 2010
Where ATMOS
Authors Marcus Poggi de Aragão, Henrique Viana, Eduardo Uchoa
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