Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
research-article

Multiobjective A* search with consistent heuristics

Published: 25 June 2008 Publication History

Abstract

The article describes and analyzes NAMOA*, an algorithm for multiobjective heuristic graph search problems. The algorithm is presented as an extension of A*, an admissible scalar shortest path algorithm. Under consistent heuristics A* is known to improve its efficiency with more informed heuristics, and to be optimal over the class of admissible algorithms in terms of the set of expanded nodes and the number of node expansions. Equivalent beneficial properties are shown to prevail in the new algorithm.

References

[1]
Alechina, N., and Logan, B. 2001. State space search with prioritised soft constraints. Appl. Intell. 14, 3, 263--278.
[2]
Bentley, J., Kung, H., Schkolnick, M., and Thomson, C. 1978. On the average number of maxima in a set of vectors and applications. J. ACM 25, 4 (Oct.), 536--543.
[3]
Dasgupta, P., Chakrabarti, P., and DeSarkar, S. 1995. Utility of pathmax in partial order heuristic search. Inf. Proc. Lett. 55, 317--322.
[4]
Dasgupta, P., Chakrabarti, P., and DeSarkar, S. 1999. Multiobjective Heuristic Search. Vieweg, Braunschweig/Wiesbaden.
[5]
Dechter, R., and Pearl, J. 1985. Generalized best-first search strategies and the optimality of A*. J. ACM 32, 3 (July), 505--536.
[6]
Dijkstra, E. W. 1959. A note on two problems in connexion with graphs. Numer. Math. 1, 269--271.
[7]
Gabrel, V., and Vanderpooten, D. 2002. Enumeration and interactive selection of efficient paths in a multiple criteria graph for scheduling an earth observing satellite. Europ. J. Operat. Res. 139, 533--542.
[8]
Hansen, P. 1979. Bicriterion path problems. In LNEMS 177. Springer, 109--127.
[9]
Hart, P., Nilsson, N., and Raphael, B. 1968. A formal basis for the heuristic determination of minimum cost paths. IEEE Trans. Syst. Sci. Cybernet. 2, 100--107.
[10]
Loui, R. P. 1983. Optimal paths in graphs with stochastic or multidimensional weights. Comm. ACM 26, 9 (Sept.), 670--676.
[11]
Mahanti, A., and Ray, K. 1988. Network search algorithms with modifiable heuristics. In Search in Artificial Intelligence. Springer-Verlag, Berlin, Germany, 200--222.
[12]
Mandow, L., and Pérez de la Cruz, J. L. 2003. Multicriteria heuristic search. Europ. J. Operat. Res. 150, 253--280.
[13]
Mandow, L., and Pérez de la Cruz, J. L. 2005. A new approach to multiobjective A* search. In Proceedings of the XIX International Joint Conference on Artificial Intelligence (IJCAI'05). 218--223.
[14]
Mandow, L., and Pérez de la Cruz, J. L. 2006. Comparison of heuristics in multiobjective A* search. In CAEPIA'05. Lecture Notes in Artificial Intelligence, vol. 4177. Springer-Verlag, Berlin, Germany, 180--189.
[15]
Mandow, L., and Pérez de la Cruz, J. L. 2009. A memory-efficient search strategy for multiobjective shortest path problems. In KI'2009: Advances in Artificial Intelligence. Lecture Notes in Artificial Intelligence, vol. 5803. Springer-Verlag, Berlin, Germany, 25--32.
[16]
Mérõ, L. 1984. A heuristic search algorithm with modifiable estimate. Artif. Intell. 23, 1, 13--27.
[17]
Pearl, J. 1984. Heuristics. Addison-Wesley, Reading, MA.
[18]
Perny, P., and Spanjaard, O. 2002. On preference-based search in state space graphs. In Proceedings of the 18th National Conference on Artificial Intelligence. AAAI Press, 751--756.
[19]
Perny, P., and Spanjaard, O. 2005. A preference-based approach to spanning trees and shortest paths problems. Europ. J. Operat. Res. 162, 584--601.
[20]
Refanidis, I., and Vlahavas, I. 2003. Multiobjective heuristic state-space search. Artif. Intell. 145, 1--32.
[21]
Stewart, B. S., and White, C. C. 1991. Multiobjective A*. J. ACM 38, 4, 775--814.

Cited By

View all
  • (2025)EMOA*Artificial Intelligence10.1016/j.artint.2024.104260339:COnline publication date: 1-Feb-2025
  • (2025)Proactive Bi-objective Multi-path Planning for Wireless Sensor NetworksComputing and Combinatorics10.1007/978-981-96-1093-8_20(238-251)Online publication date: 20-Feb-2025
  • (2024)Theoretical study on multi-objective heuristic searchProceedings of the Thirty-Third International Joint Conference on Artificial Intelligence10.24963/ijcai.2024/776(7021-7028)Online publication date: 3-Aug-2024
  • Show More Cited By

Recommendations

Comments

Information & Contributors

Information

Published In

cover image Journal of the ACM
Journal of the ACM  Volume 57, Issue 5
June 2010
126 pages
ISSN:0004-5411
EISSN:1557-735X
DOI:10.1145/1754399
Issue’s Table of Contents
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Accepted: 01 February 2010
Revised: 01 February 2010
Published: 25 June 2008
Received: 01 March 2006
Published in JACM Volume 57, Issue 5

Permissions

Request permissions for this article.

Check for updates

Author Tags

  1. Consistent heuristics
  2. multiobjective search
  3. optimality

Qualifiers

  • Research-article
  • Research
  • Refereed

Funding Sources

  • Junta de Andalucía (España)

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)87
  • Downloads (Last 6 weeks)18
Reflects downloads up to 19 Feb 2025

Other Metrics

Citations

Cited By

View all
  • (2025)EMOA*Artificial Intelligence10.1016/j.artint.2024.104260339:COnline publication date: 1-Feb-2025
  • (2025)Proactive Bi-objective Multi-path Planning for Wireless Sensor NetworksComputing and Combinatorics10.1007/978-981-96-1093-8_20(238-251)Online publication date: 20-Feb-2025
  • (2024)Theoretical study on multi-objective heuristic searchProceedings of the Thirty-Third International Joint Conference on Artificial Intelligence10.24963/ijcai.2024/776(7021-7028)Online publication date: 3-Aug-2024
  • (2024) A New Multiobjective A ∗ Algorithm With Time Window Applied to Large Airports Journal of Advanced Transportation10.1155/atr/75362172024:1Online publication date: 26-Nov-2024
  • (2024)A hierarchical model with hexagon grids for multi-objective route planning in large-scale off-road environmentsInternational Journal of Geographical Information Science10.1080/13658816.2024.234731938:7(1388-1413)Online publication date: 6-May-2024
  • (2023)Multi-Objective Decision-Making Meets Dynamic Shortest Path: Challenges and ProspectsAlgorithms10.3390/a1603016216:3(162)Online publication date: 16-Mar-2023
  • (2023)Multi-objective search via lazy and efficient dominance checksProceedings of the Thirty-Second International Joint Conference on Artificial Intelligence10.24963/ijcai.2023/850(7223-7230)Online publication date: 19-Aug-2023
  • (2023)Heuristic-search approaches for the multi-objective shortest-path problemProceedings of the Thirty-Second International Joint Conference on Artificial Intelligence10.24963/ijcai.2023/757(6759-6768)Online publication date: 19-Aug-2023
  • (2023)Heuristic search for multi-objective probabilistic planningProceedings of the Thirty-Seventh AAAI Conference on Artificial Intelligence and Thirty-Fifth Conference on Innovative Applications of Artificial Intelligence and Thirteenth Symposium on Educational Advances in Artificial Intelligence10.1609/aaai.v37i10.26409(11945-11954)Online publication date: 7-Feb-2023
  • (2023)A Parallel Algorithm for Updating a Multi-objective Shortest Path in Large Dynamic NetworksProceedings of the SC '23 Workshops of the International Conference on High Performance Computing, Network, Storage, and Analysis10.1145/3624062.3625134(739-746)Online publication date: 12-Nov-2023
  • Show More Cited By

View Options

Login options

Full Access

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Figures

Tables

Media

Share

Share

Share this Publication link

Share on social media