Titlebook: Advances in Global Optimization; David Gao,Ning Ruan,Wenxun Xing Conference proceedings 2015 Springer International Publishing Switzerland

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978-3-319-34519-2Springer International Publishing Switzerland 2015

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Springer Proceedings in Mathematics & Statisticshttp://image.papertrans.cn/a/image/148143.jpg

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Advances in Global Optimization978-3-319-08377-3Series ISSN 2194-1009 Series E-ISSN 2194-1017

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Out and About in Global Cities,lgorithm, the lower bound is found by solving a separable relaxation programming problem. A convex quadratic programming problem is constructed so as to improve the ability to set the upper bound. The convergence of the algorithm is proved. Numerical experiments are reported to show the feasibility and effectiveness of the proposed algorithm.

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https://doi.org/10.1057/9781137292537how, via duality theory of moment problems, that the linear relaxation of the DRFLP is equivalent to that of the standard uncapacitated facility location problem (UFLP). Consequently, any LP-based approximation algorithm for the UFLP implies an approximation algorithm for the DRFLP with the same approximation ratio.