Date of Original Version

6-1999

Type

Conference Proceeding

Abstract or Description

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 solutions.

DOI

10.1007/3-540-48481-7_4

Comments

Presented at 7th Annual European Symposium Prague, Czech Republic, July 16–18, 1999

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Published In

J. Nesetril (Ed.): ESA’99, LNCS 1643, 29-40.