Facility Leasing with Penalties
Murilo S. de Lima, M\'ario C. San Felice, Orlando Lee
TL;DR
This paper introduces a primal-dual approximation algorithm for the facility leasing problem with penalties, extending previous algorithms for related problems to improve solution quality.
Contribution
It presents a novel 3-approximation primal-dual algorithm specifically designed for the facility leasing problem with penalties, building on prior work.
Findings
The algorithm achieves a 3-approximation ratio.
It extends existing algorithms for facility leasing and location problems.
The approach improves solution bounds for the problem.
Abstract
In this paper we study the facility leasing problem with penalties. We present a primal-dual algorithm which is a 3-approximation, based on the algorithm by Nagarajan and Williamson for the facility leasing problem and on the algorithm by Charikar et al. for the facility location problem with penalties.
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Taxonomy
TopicsFacility Location and Emergency Management · Optimization and Search Problems · Complexity and Algorithms in Graphs