Approximation Algorithms for the Traveling Purchaser Problem and its Variants in Network Design (1999)
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BibTeX
@MISC{Ravi99approximationalgorithms,
author = {R. Ravi and F. S. Salman},
title = {Approximation Algorithms for the Traveling Purchaser Problem and its Variants in Network Design},
year = {1999}
}
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Abstract
. The traveling purchaser problem is a generalization of the traveling salesman problem with applications in a wide range of areas including network design and scheduling. The input consists of a set of markets and a set of products. Each market offers a price for each product and there is a cost associated with traveling from one market to another. The problem is to purchase all products by visiting a subset of the markets in a tour such that the total travel and purchase costs are minimized. This problem includes many well-known NP-hard problems such as uncapacitated facility location, set cover and group Steiner tree problems as its special cases. We give an approximation algorithm with a poly-logarithmic worst-case ratio for the traveling purchaser problem with metric travel costs. For a special case of the problem that models the ring-star network design problem, we give a constant-factor approximation algorithm. Our algorithms are based on rounding LP relaxation sol...
