An approximation algorithm for a symmetric generalized multiple depot, multiple travelling salesman problem
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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. 2007 Elsevier B.V. All rights reserved.