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\brief Algorithms for finding minimum mean cycles. |
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This group contains the algorithms for finding minimum mean cycles |
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This group contains the algorithms for finding minimum mean cycles |
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\ref clrs01algorithms, \ref amo93networkflows. |
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The \e minimum \e mean \e cycle \e problem is to find a directed cycle |
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LEMON contains three algorithms for solving the minimum mean cycle problem: |
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- \ref Karp "Karp"'s original algorithm |
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- \ref Karp "Karp"'s original algorithm \ref amo93networkflows, |
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\ref dasdan98minmeancycle. |
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- \ref HartmannOrlin "Hartmann-Orlin"'s algorithm, which is an improved |
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version of Karp's algorithm. |
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- \ref Howard "Howard"'s policy iteration algorithm. |
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version of Karp's algorithm \ref dasdan98minmeancycle. |
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- \ref Howard "Howard"'s policy iteration algorithm |
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\ref dasdan98minmeancycle. |
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In practice, the Howard algorithm proved to be by far the most efficient |
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/// |
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/// This class implements the Hartmann-Orlin algorithm for finding |
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/// a directed cycle of minimum mean length (cost) in a digraph |
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/// a directed cycle of minimum mean length (cost) in a digraph |
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/// \ref amo93networkflows, \ref dasdan98minmeancycle. |
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/// It is an improved version of \ref Karp "Karp"'s original algorithm, |
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/// it applies an efficient early termination scheme. |
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/// |
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/// This class implements Howard's policy iteration algorithm for finding |
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/// a directed cycle of minimum mean length (cost) in a digraph |
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/// a directed cycle of minimum mean length (cost) in a digraph |
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/// \ref amo93networkflows, \ref dasdan98minmeancycle. |
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/// This class provides the most efficient algorithm for the |
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/// minimum mean cycle problem, though the best known theoretical |
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/// |
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/// This class implements Karp's algorithm for finding a directed |
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/// cycle of minimum mean length (cost) in a digraph |
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/// cycle of minimum mean length (cost) in a digraph |
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/// \ref amo93networkflows, \ref dasdan98minmeancycle. |
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/// It runs in time O(ne) and uses space O(n<sup>2</sup>+e). |
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/// |
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