Probabilistic Analysis of the 1-Tree Relaxation for the Euclidean Traveling Salesman Problem (Classic Reprint) - Hardcover
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Excerpt from Probabilistic Analysis of the 1-Tree Relaxation for the Euclidean Traveling Salesman Problem
Christofides [3] and Johnson the relative gap is often less or much less than l%. On a theoretical ground, a result due to Wolsey [21] states that the Held Karp lower bound is never less than of the length of the optimal tour when the triangle inequality is satisfied. However, this worst - case analysis does not capture the efficiency of the bound in practice. The probabilistic analysis developed in this paper is aimed at shedding new light on the behavior of the held-karp lower bound.
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