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On the Factor Revealing LP Approach for Facility Location with Penalties | | Xian Qiu
; Walter Kern
; | | Date: |
31 Jan 2016 | | Abstract: | We consider the uncapacitated facility location problem with (linear) penalty
function and show that a modified JMS algorithm, combined with a randomized LP
rounding technique due to Byrka-Aardal[1], Li[14] and Li et al.[16] yields
1.488 approximation, improving the factor 1.5148 due to Li et al.[16]. This
closes the current gap between the classical facility location problem and this
penalized variant. Main ingredient is a straightforward adaptation of the JMS
algorithm to the penalty setting plus a consistent use of the upper bounding
technique for factor revealing LPs due to Fernandes et al.[7]. In contrast to
the bounds in [12], our factor revealing LP is monotone. | | Source: | arXiv, 1602.0192 | | Services: | Forum | Review | PDF | Favorites | |
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