Approximation algorithm for dynamic facility location problem

In this paper, we consider dynamic facility location problem with unit demand (DFLPUD). We propose a 1.52-approximation algorithm that skillfully integrates dual-fitting and greedy augmentation schemes. Our algorithmic framework begins by formulating DFLPUD as a set covering linear integer programmi...

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Bibliographic Details
Published in:Journal of combinatorial optimization Vol. 49; no. 3; p. 48
Main Authors: Zhang, Li, Li, Qiaoliang
Format: Journal Article
Language:English
Published: New York Springer US 01.04.2025
Springer Nature B.V
Subjects:
Algorithms
Approximation
Combinatorics
Convex and Discrete Geometry
Integer programming
Linear programming
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Site selection
Theory of Computation
Dual-fitting
Greedy augmentation
90C10
Dynamic facility location
90C27
Approximation algorithm
ISSN:1382-6905, 1573-2886
Online Access:Get full text
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Summary:In this paper, we consider dynamic facility location problem with unit demand (DFLPUD). We propose a 1.52-approximation algorithm that skillfully integrates dual-fitting and greedy augmentation schemes. Our algorithmic framework begins by formulating DFLPUD as a set covering linear integer programming problem. Then we scale the opening cost of all facilities and use the solution of dual-fitting algorithm to seed a local search to yield an improved performance guarantee 1.52. To the best of our knowledge, this is the best known approximation ratio for DFLPUD.
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ISSN:1382-6905
1573-2886
DOI:10.1007/s10878-025-01282-7