A note on the Flow Extended 0-1 Knapsack Cover Inequalities for the Elementary Shortest Path Problem with a Capacity Constraint
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چکیده
This note introduces an extension to the 0-1 knapsack cover inequalities to be used in a branchand-cut algorithm for the elementary shortest path problem with a capacity constraint. The extension leads to a set of valid inequalities that takes both the fractional usage of the edges and the capacity into account and are denoted the flow extended 0-1 knapsack cover inequalities. Computational experiments indicate that although these new inequalities improve the lower bound they also results in more fractional LP solutions which results in a larger number of branch nodes and eventually slower running times.
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