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Yet another bidirectional algorithm for shortest paths

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  • Pijls, W.H.L.M.
  • Post, H.

Abstract

For finding a shortest path in a network the bidirectional~A* algorithm is a widely known algorithm. An A* instance requires a heuristic estimate, a real-valued function on the set of nodes. %This algorithm distinguishes between the main phase and the postprocessing phase. %As long as the search processes of the two sides do not meet, we are in the main phase. %As soon as a meeting point is obtained, the post-phase is in progress. \\\\ The version of bidirectional~A* that is considered the most appropriate in literature hitherto, uses so-called balanced heuristic estimates. This means that the two estimates of the two directions are in balance, i.e., their sum is a constant value. In this paper, we do not restrict ourselves any longer to balanced heuristics. A generalized version of bidirectional A* is proposed, where the heuristic estimate does not need to be balanced. This new version turns out to be faster than the one with the balanced heuristic.

Suggested Citation

  • Pijls, W.H.L.M. & Post, H., 2009. "Yet another bidirectional algorithm for shortest paths," Econometric Institute Research Papers EI 2009-10, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:16100
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    References listed on IDEAS

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    1. Pijls, Wim & Post, Henk, 2009. "A new bidirectional search algorithm with shortened postprocessing," European Journal of Operational Research, Elsevier, vol. 198(2), pages 363-369, October.
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