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2017 | OriginalPaper | Buchkapitel

Hybrid Best-First Greedy Search for Orienteering with Category Constraints

verfasst von : Paolo Bolzoni, Sven Helmer

Erschienen in: Advances in Spatial and Temporal Databases

Verlag: Springer International Publishing

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Abstract

We develop an approach for solving rooted orienteering problems with category constraints as found in tourist trip planning and logistics. It is based on expanding partial solutions in a systematic way, prioritizing promising ones, which reduces the search space we have to traverse during the search. The category constraints help in reducing the space we have to explore even further. We implement an algorithm that computes the optimal solution and also illustrate how our approach can be turned into an anytime approximation algorithm, yielding much faster run times and guaranteeing lower bounds on the quality of the solution found. We demonstrate the effectiveness of our algorithms by comparing them to the state-of-the-art approach and an optimal algorithm based on dynamic programming, showing that our technique clearly outperforms these methods.

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Fußnoten
1
The icons are from icons8.​com, used under Creative Commons License CC BY-ND 3.0. To view a copy, visit https://​creativecommons.​org/​licenses/​by-nd/​3.​0/​.
 
2
Due to the cut ratio, we did not run this experiment for the real-world data sets, as it would have taken too much time.
 
Literatur
1.
Zurück zum Zitat Blum, A., Chawla, S., Karger, D.R., Lane, T., Meyerson, A., Minkoff, M.: Approximation algorithms for orienteering and discounted-reward TSP. SIAM J. Comput. 37(2), 653–670 (2007)MathSciNetCrossRefMATH Blum, A., Chawla, S., Karger, D.R., Lane, T., Meyerson, A., Minkoff, M.: Approximation algorithms for orienteering and discounted-reward TSP. SIAM J. Comput. 37(2), 653–670 (2007)MathSciNetCrossRefMATH
2.
Zurück zum Zitat Bolzoni, P., Helmer, S., Wellenzohn, K., Gamper, J., Andritsos, P.: Efficient itinerary planning with category constraints. In: SIGSPATIAL/GIS 2014, Dallas, Texas, pp. 203–212 (2014) Bolzoni, P., Helmer, S., Wellenzohn, K., Gamper, J., Andritsos, P.: Efficient itinerary planning with category constraints. In: SIGSPATIAL/GIS 2014, Dallas, Texas, pp. 203–212 (2014)
3.
Zurück zum Zitat Chekuri, C., Korula, N., Pál, M.: Improved algorithms for orienteering and related problems. In: SODA 2008, pp. 661–670 (2008) Chekuri, C., Korula, N., Pál, M.: Improved algorithms for orienteering and related problems. In: SODA 2008, pp. 661–670 (2008)
4.
Zurück zum Zitat Chekuri, C., Pál, M.: A recursive greedy algorithm for walks in directed graphs. In: FOCS 2005, pp. 245–253 (2005) Chekuri, C., Pál, M.: A recursive greedy algorithm for walks in directed graphs. In: FOCS 2005, pp. 245–253 (2005)
5.
Zurück zum Zitat Gavalas, D., Konstantopoulos, C., Mastakas, K., Pantziou, G.: A survey on algorithmic approaches for solving tourist trip design problems. J. Heuristics 20(3), 291–328 (2014)CrossRef Gavalas, D., Konstantopoulos, C., Mastakas, K., Pantziou, G.: A survey on algorithmic approaches for solving tourist trip design problems. J. Heuristics 20(3), 291–328 (2014)CrossRef
6.
Zurück zum Zitat Gendreau, M., Laporte, G., Semet, F.: A branch-and-cut algorithm for the undirected selective traveling salesman problem. Networks 32(4), 263–273 (1998)MathSciNetCrossRefMATH Gendreau, M., Laporte, G., Semet, F.: A branch-and-cut algorithm for the undirected selective traveling salesman problem. Networks 32(4), 263–273 (1998)MathSciNetCrossRefMATH
7.
Zurück zum Zitat Keller, C.: Algorithms to solve the orienteering problem: a comparison. Eur. J. OR 41, 224–231 (1989)MATH Keller, C.: Algorithms to solve the orienteering problem: a comparison. Eur. J. OR 41, 224–231 (1989)MATH
8.
Zurück zum Zitat Liang, Y.-C., Kulturel-Konak, S., Smith, A.: Meta heuristics for the orienteering problem. In: CEC 2002, pp. 384–389 (2002) Liang, Y.-C., Kulturel-Konak, S., Smith, A.: Meta heuristics for the orienteering problem. In: CEC 2002, pp. 384–389 (2002)
9.
Zurück zum Zitat Lu, E.H.-C., Lin, C.-Y., Tseng, V.S.: Trip-mine: an efficient trip planning approach with travel time constraints. In: MDM 2011, pp. 152–161 (2011) Lu, E.H.-C., Lin, C.-Y., Tseng, V.S.: Trip-mine: an efficient trip planning approach with travel time constraints. In: MDM 2011, pp. 152–161 (2011)
10.
Zurück zum Zitat Ramesh, R., Yoon, Y.-S., Karwan, M.H.: An optimal algorithm for the orienteering tour problem. Inf. J. Comput. 4(2), 155–165 (1992)CrossRefMATH Ramesh, R., Yoon, Y.-S., Karwan, M.H.: An optimal algorithm for the orienteering tour problem. Inf. J. Comput. 4(2), 155–165 (1992)CrossRefMATH
11.
Zurück zum Zitat Rice, M.N., Tsotras, V.J.: Parameterized algorithms for generalized traveling salesman problems in road networks. In: SIGSPATIAL/GIS 2013, Orlando, Florida, pp. 114–123 (2013) Rice, M.N., Tsotras, V.J.: Parameterized algorithms for generalized traveling salesman problems in road networks. In: SIGSPATIAL/GIS 2013, Orlando, Florida, pp. 114–123 (2013)
12.
Zurück zum Zitat Righini, G., Salani, M.: Decremental state space relaxation strategies and initialization heuristics for solving the orienteering problem with time windows with dynamic programming. Comput. OR 36(4), 1191–1203 (2009)CrossRefMATH Righini, G., Salani, M.: Decremental state space relaxation strategies and initialization heuristics for solving the orienteering problem with time windows with dynamic programming. Comput. OR 36(4), 1191–1203 (2009)CrossRefMATH
13.
Zurück zum Zitat Sevkli, Z., Sevilgen, F.E.: Variable neighborhood search for the orienteering problem. In: Levi, A., Savaş, E., Yenigün, H., Balcısoy, S., Saygın, Y. (eds.) ISCIS 2006. LNCS, vol. 4263, pp. 134–143. Springer, Heidelberg (2006). doi:10.1007/11902140_16 CrossRef Sevkli, Z., Sevilgen, F.E.: Variable neighborhood search for the orienteering problem. In: Levi, A., Savaş, E., Yenigün, H., Balcısoy, S., Saygın, Y. (eds.) ISCIS 2006. LNCS, vol. 4263, pp. 134–143. Springer, Heidelberg (2006). doi:10.​1007/​11902140_​16 CrossRef
14.
Zurück zum Zitat Singh, A., Krause, A., Guestrin, C., Kaiser, W.J., Batalin, M.A.: Efficient planning of informative paths for multiple robots. In: IJCAI 2007, pp. 2204–2211 (2007) Singh, A., Krause, A., Guestrin, C., Kaiser, W.J., Batalin, M.A.: Efficient planning of informative paths for multiple robots. In: IJCAI 2007, pp. 2204–2211 (2007)
15.
Zurück zum Zitat Tasgetiren, F., Smith, A.: A genetic algorithm for the orienteering problem. In: IEEE Congress on Evolutionary Computation (2000) Tasgetiren, F., Smith, A.: A genetic algorithm for the orienteering problem. In: IEEE Congress on Evolutionary Computation (2000)
16.
Zurück zum Zitat Tsiligrides, T.A.: Heuristic methods applied to orienteering. J. Oper. Res. Soc. 35(9), 797–809 (1984)CrossRef Tsiligrides, T.A.: Heuristic methods applied to orienteering. J. Oper. Res. Soc. 35(9), 797–809 (1984)CrossRef
17.
Zurück zum Zitat Wang, Q., Sun, X., Golden, B.L., Jia, J.: Using artificial neural networks to solve the orienteering problem. Ann. OR 61, 111–120 (1995)CrossRefMATH Wang, Q., Sun, X., Golden, B.L., Jia, J.: Using artificial neural networks to solve the orienteering problem. Ann. OR 61, 111–120 (1995)CrossRefMATH
Metadaten
Titel
Hybrid Best-First Greedy Search for Orienteering with Category Constraints
verfasst von
Paolo Bolzoni
Sven Helmer
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-64367-0_2