An approximation algorithm for a symmetric Generalized Multiple Depot, Multiple Travelling Salesman Problem

An approximation algorithm for a symmetric Generalized Multiple Depot, Multiple Travelling Salesman Problem

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Article ID: iaor20084166
Country: Netherlands
Volume: 35
Issue: 6
Start Page Number: 747
End Page Number: 753
Publication Date: Nov 2007
Journal: Operations Research Letters
Authors: , ,
Abstract:

In this paper, we present an algorithm with an approximation factor of 2 for a Generalized, Multiple Depot, Multiple Travelling Salesman Problem (GMTSP) when the costs are symmetric and satisfy the triangle inequality. The algorithm requires finding a degree constrained minimum spanning tree which we compute using a Lagrangian relaxation.

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