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Approximate optimization for facility location on two-dimensional internetwork topology

Facility location is one of the important issues in the operations research, which has been studied in a wide field. We present an extended facility location issue built on particular two-dimensional internetwork topology. Compared with the classical facility location problem, the extended facility location issue has two extra constraints, which is more difficult to be solved directly. By exploiting the embedding scheme, an efficient approximate optimization approach of the proposed issue is developed. Furthermore, the approximation factor of the extended issue has been ingeniously analyzed.