Algorithm for Minimum Cost Ratio Cycle
Let G be a directed graph, let cost and profit
be two cost function on the edges of G . Edge costs and profits
may be positive or negative, but there must not exist cycles of non-positive
cost with respect to both cost and profit .
A minimum cost ratio cycle C is a cycle in G such that the ratio
cost(C)/profit(C) is minimum among all cycles in G .
MINIMUM_RATIO_CYCLE() computes a minimum cost ratio
cycle C (if there are no cycles of cost zero or less in G).
Example of How to Use MINIMUM_RATIO_CYCLE()
Tip
This algorithm is mainly of theoretical interest.
|