Anytime algorithms for biobjective heuristic search

  • Authors:
  • Priyankar Ghosh;Partha Pratim Chakrabarti;Pallab Dasgupta

  • Affiliations:
  • Indian Institute of Technology Kharagpur, West Bengal, India;Indian Institute of Technology Kharagpur, West Bengal, India;Indian Institute of Technology Kharagpur, West Bengal, India

  • Venue:
  • AI'12 Proceedings of the 25th Australasian joint conference on Advances in Artificial Intelligence
  • Year:
  • 2012

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Abstract

Heuristic search algorithms (MOA*, NAMOA* etc) for multiobjective optimization problems, when run with admissible heuristics, typically spend a lot of time and require huge amount of memory for generating the Pareto optimal solution frontier due to the fact that these algorithms expand all nodes/paths whose cost is not dominated by any other optimal solution. In this paper, we present an anytime heuristic search framework for biobjective optimization problems named "Anytime Biobjective Search (ABS)" which quickly finds a set of nondominated solutions and keeps on improving the solution frontier with time. The proposed framework uses the upper and lower limit estimates on one of the objectives to split the search space into a given number of segments and independently runs a particular search algorithm (branch-and-bound, beam search etc.) within each of the segments. In this paper, we present how existing search strategies, branch-and-bound, beam, and beam-stack, can be used within the proposed framework. Experimental results reveal that our proposed framework achieves good anytime performance.