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Multiobjective A*

Published: 01 October 1991 Publication History
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References

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Don Goelman

The A* algorithm is a classical heuristic search procedure that is especially important to the artificial intelligence (AI) community. A* assumes a scalar metric for evaluating paths to its goal states, however, while many real-world problems involve multiple and even conflicting or unrelated objectives. Previous work in this area has concentrated largely on producing such scalar-valued metrics from the set of individual criteria for the different objectives. By contrast, the authors of this paper maintain a vector of objectives and the costs of reaching them. The goal of their algorithm, multiobjective A* (MOA*), is to find the set of nondominated alternatives . An alternative a is said to dominate an alternative b if a is at least as good as b with respect to all objectives and better with respect to at least one. Besides the opening and closing sections, this paper has three parts: an intuitive overview and trace of MOA*, a formal formulation of the problem and algorithm, and a section of formal proofs, in which the issues of termination, completeness, and admissibility are treated. This paper is therefore excellent for readers with a range of theoretical abilities and experience. The paper closes with a good bibliography, including many papers that have appeared in the European Journal of Operations Research .

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Published In

cover image Journal of the ACM
Journal of the ACM  Volume 38, Issue 4
Oct. 1991
272 pages
ISSN:0004-5411
EISSN:1557-735X
DOI:10.1145/115234
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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 October 1991
Published in JACM Volume 38, Issue 4

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Cited By

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  • (2024)Multi-Objective Global Path Planning for Lunar Exploration With a Quadruped Robot2024 International Conference on Space Robotics (iSpaRo)10.1109/iSpaRo60631.2024.10688158(48-55)Online publication date: 24-Jun-2024
  • (2024)Route and charging planning for electric vehicles: a multi-objective approachTransportation Letters10.1080/19427867.2024.2315359(1-21)Online publication date: 14-Apr-2024
  • (2024)Multi-Objective Loosely Synchronized Search for Multi-Objective Multi-Agent Path Finding with Asynchronous Actions基于多目标松散同步搜索的多目标多智能体异步路径规划Journal of Shanghai Jiaotong University (Science)10.1007/s12204-024-2744-x29:4(667-677)Online publication date: 24-Jun-2024
  • (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)Multi-Agent Path Finding for Non-Conflicting Paths: An Infinite Speed Conflict-Based Search Approach2023 42nd Chinese Control Conference (CCC)10.23919/CCC58697.2023.10241096(5500-5505)Online publication date: 24-Jul-2023
  • (2023)ERCA*: A New Approach for the Resource Constrained Shortest Path ProblemIEEE Transactions on Intelligent Transportation Systems10.1109/TITS.2023.329303924:12(14994-15005)Online publication date: 1-Dec-2023
  • (2023)Fast One-to-Many Multicriteria Shortest Path SearchIEEE Transactions on Intelligent Transportation Systems10.1109/TITS.2023.328206924:10(10410-10419)Online publication date: 1-Oct-2023
  • (2023)A Conflict-Based Search Framework for Multiobjective Multiagent Path FindingIEEE Transactions on Automation Science and Engineering10.1109/TASE.2022.318318320:2(1262-1274)Online publication date: Apr-2023
  • (2023)Belief Propagation of Pareto Front in Multi-Objective MDP Graphs2023 IEEE 33rd International Workshop on Machine Learning for Signal Processing (MLSP)10.1109/MLSP55844.2023.10286009(1-6)Online publication date: 17-Sep-2023
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