Definition: Find the longest path from any source to any sinks in a directed acyclic graph which has weights, or numeric values, on vertices.
Note: This can be solved with a variant of the DAG shortest paths algorithm by assigning an initial distance of negative infinity (-∞), updating the distance and predecessor if dist(v) + weight(u) > dist(u), and recording the greatest distance found so far.
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Entry modified 19 April 2004.
HTML page formatted Fri Mar 25 16:20:34 2011.
Cite this as:
Paul E. Black, "critical path problem", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology. 19 April 2004. (accessed TODAY) Available from: http://www.nist.gov/dads/HTML/criticalPath.html