An 0.828-approximation algorithm for the uncapacitated facility location problem
نویسندگان
چکیده
منابع مشابه
An 0.828-approximation Algorithm for the Uncapacitated Facility Location Problem
The uncapacitated facility location problem in the following formulation is considered: max S⊆I Z(S) = ∑
متن کاملA 1.488 Approximation Algorithm for the Uncapacitated Facility Location Problem
We present a 1.488 approximation algorithm for the metric uncapacitated facility location (UFL) problem. The previous best algorithm was due to Byrka [1]. By linearly combining two algorithms A1(γf ) for γf = 1.6774 and the (1.11,1.78)-approximation algorithm A2 proposed by Jain, Mahdian and Saberi [8], Byrka gave a 1.5 approximation algorithm for the UFL problem. We show that if γf is randomly...
متن کاملAn incremental algorithm for the uncapacitated facility location problem
We study the incremental facility location problem, wherein we are given an instance of the uncapacitated facility location problem and seek an incremental sequence of opening facilities and an incremental sequence of serving customers along with their fixed assignments to facilities open in the partial sequence. We say that a sequence has a competitive ratio of k, if the cost of serving the fi...
متن کاملAn Optimal Bifactor Approximation Algorithm for the Metric Uncapacitated Facility Location Problem
We consider the metric uncapacitated facility location problem(UFL). In this paper we modify the (1+2=e)-approximation algorithm of Chudak and Shmoys to obtain a new (1.6774,1.3738)approximation algorithm for the UFL problem. Our linear programing rounding algorithm is the rst one that touches the approximability limit curve ( f ; 1 + 2e f ) established by Jain et al. As a consequence, we obtai...
متن کاملAn Approximation Algorithm for the -level Uncapacitated Facility Location Problem with Penalties
The -level Uncapacitated Facility Location (UFL) problem is a generalization of the UFL and the -median problems. A significant shortcoming of the classical UFL problem is that often a few very distant customers, known as outliers, can leave an undesirable effect on the final solution. This deficiency is considered in a new variant called UFL with outliers, in which, in contrast to the other pr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1999
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(99)00103-1