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∑i ∈ F, j ∈ C c(i,j)x(i,j) + ∑i ∈ F f(i)y(i) ≤ ∑i ∈ F, j ∈ C c(i,j)x(i,j) + 3∑i ∈ F f(i)y(i) ≤ ∑i,j: j = φ(i) c(i,j) + 3 ∑i ∈ I f(i) ≤ 3 ∑i,j: j = φ(i) αej + 3 ∑j ∈ C αfj ≤ 3 ∑j αj |
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∑i ∈ F, j ∈ C c(i,j)x(i,j) + ∑i ∈ F f(i)y(i) ≤ ∑i ∈ F, j ∈ C c(i,j)x(i,j) + 3∑i ∈ F f(i)y(i) ≤ ∑i,j: j = φ(i) c(i,j) + 3 ∑i ∈ I f(i) ≤ 3 ∑i,j: j = φ(i) αej + 3 ∑j ∈ C αfj ≤ 3 ∑j αj References: * Primal-Dual Approximation Algorithms for Metric Facility Location and k-Median Problems. http://citeseer.nj.nec.com/3752.html |