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Iterative Deepening Dynamically Improved Bounds Bidirectional Search

Author

Listed:
  • John A. Pavlik

    (Department of Computer Science, University of Illinois, Urbana, Illinois 61801)

  • Edward C. Sewell

    (Department of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, Illinois 62026)

  • Sheldon H. Jacobson

    (Department of Computer Science, University of Illinois, Urbana, Illinois 61801)

Abstract

This paper presents a new bidirectional search algorithm to solve the shortest path problem. The new algorithm uses an iterative deepening technique with a consistent heuristic to improve lower bounds on path costs. The new algorithm contains a novel technique of filtering nodes to significantly reduce the memory requirements. Computational experiments on the pancake problem, sliding tile problem, and Rubik’s cube show that the new algorithm uses significantly less memory and executes faster than A* and other state-of-the-art bidirectional algorithms. Summary of Contribution: Quickly solving single-source shortest path problems on graphs is important for pathfinding applications and is a core problem in both artificial intelligence and operations research. This paper attempts to solve large problems that do not easily fit into the available memory of a desktop computer, such as finding the optimal shortest set of moves to solve a Rubik’s cube, and solve them faster than existing algorithms.

Suggested Citation

  • John A. Pavlik & Edward C. Sewell & Sheldon H. Jacobson, 2022. "Iterative Deepening Dynamically Improved Bounds Bidirectional Search," INFORMS Journal on Computing, INFORMS, vol. 34(2), pages 974-989, March.
  • Handle: RePEc:inm:orijoc:v:34:y:2022:i:2:p:974-989
    DOI: 10.1287/ijoc.2021.1116
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