A branch-and-price algorithm for the team orienteering problem with sets
Abstract
Orienteering problems consist in the maximization of profits collected in a given route, restricted by a time limit. A branch-and-price algorithm is proposed for the set team orienteering problem, a generalization of the initial problem with the presence of multiple vehicles and the association of the profits with the service of client clusters.References
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Baldacci, R., Mingozzi, A., and Roberti, R. (2011). New route relaxation and pricing strategies for the vehicle routing problem. OPERATIONS RESEARCH, pages 1269–1283.
Bianchessi, N., Mansini, R., and Speranza, M. G. (2018). A branch-and-cut algorithm for the team orienteering problem. International Transactions in Operational Research, 25(2):627–635.
Boussier, S., Feillet, D., and Gendreau, M. (2007). An exact algorithm for team orienteering problems. 4or, 5:211–230.
Chao, I.-M., Golden, B. L., and Wasil, E. A. (1996). The team orienteering problem. European journal of operational research, 88(3):464–474.
Costa, L., Contardo, C., and Desaulniers, G. (2019). Exact branch-price-and-cut algorithms for vehicle routing. Transportation Science, 53(4):946–985.
Dang, D.-C., El-Hajj, R., and Moukrim, A. (2013). A branch-and-cut algorithm for solving the team orienteering problem. In Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems: 10th International Conference, CPAIOR 2013, Yorktown Heights, NY, USA, May 18-22, 2013. Proceedings 10, pages 332–339. Springer.
Dror, M. (1994). Note on the complexity of the shortest path models for column generation in vrptw. Operations Research, 42(5):977–978.
Feo, T. A. and Resende, M. G. (1995). Greedy randomized adaptive search procedures. Journal of global optimization, 6:109–133.
Keshtkaran, M., Ziarati, K., Bettinelli, A., and Vigo, D. (2016). Enhanced exact solution methods for the team orienteering problem. International Journal of Production Research, 54(2):591–601.
Laporte, G. and Martello, S. (1990). The selective travelling salesman problem. Discrete Applied Mathematics, 26(2):193–207.
Pessoa, A., Sadykov, R., Uchoa, E., and Vanderbeck, F. (2020). A generic exact solver for vehicle routing and related problems. Mathematical Programming, 183(1):483–523.
Vansteenwegen, P. and Gunawan, A. (2019). Orienteering problems. EURO Advanced Tutorials on Operational Research.
Yu, V. F., Salsabila, N. Y., Lin, S.-W., and Gunawan, A. (2023). Simulated annealing with reinforcement learning for the set team orienteering problem with time windows. Expert Systems with Applications, page 121996.
Published
2024-07-21
How to Cite
LIMA NETO, Francisco Ferreira; ZANELATO, Pedro dos Santos; SILVA, Pedro Paulo A. de Paula e; HOSHINO, Edna A..
A branch-and-price algorithm for the team orienteering problem with sets. In: PROCEEDINGS OF THE THEORY OF COMPUTATION MEETING (ETC), 9. , 2024, Brasília/DF.
Anais [...].
Porto Alegre: Sociedade Brasileira de Computação,
2024
.
p. 43-47.
ISSN 2595-6116.
DOI: https://doi.org/10.5753/etc.2024.2367.
