e-approximations with minimum packing constraint violation (extended abstract)
STOC '92 Proceedings of the twenty-fourth annual ACM symposium on Theory of computing
Approximation algorithms for facility location problems (extended abstract)
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Greedy strikes back: improved facility location algorithms
Journal of Algorithms
Improved algorithms for fault tolerant facility location
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
Approximation algorithms
A new greedy approach for facility location problems
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
An Improved Approximation Algorithm for the Metric Uncapacitated Facility Location Problem
Proceedings of the 9th International IPCO Conference on Integer Programming and Combinatorial Optimization
An approximation algorithm for the fault tolerant metric facility location problem
APPROX '00 Proceedings of the Third International Workshop on Approximation Algorithms for Combinatorial Optimization
Improved Approximation Algorithms for Metric Facility Location Problems
APPROX '02 Proceedings of the 5th International Workshop on Approximation Algorithms for Combinatorial Optimization
A Greedy Facility Location Algorithm Analyzed Using Dual Fitting
APPROX '01/RANDOM '01 Proceedings of the 4th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems and 5th International Workshop on Randomization and Approximation Techniques in Computer Science: Approximation, Randomization and Combinatorial Optimization
Primal-Dual Approximation Algorithms for Metric Facility Location and k-Median Problems
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Greedy facility location algorithms analyzed using dual fitting with factor-revealing LP
Journal of the ACM (JACM)
Improved Approximation Algorithms for the Uncapacitated Facility Location Problem
SIAM Journal on Computing
Improved Combinatorial Algorithms for Facility Location Problems
SIAM Journal on Computing
Fault-tolerant facility location
ACM Transactions on Algorithms (TALG)
An Optimal Bifactor Approximation Algorithm for the Metric Uncapacitated Facility Location Problem
APPROX '07/RANDOM '07 Proceedings of the 10th International Workshop on Approximation and the 11th International Workshop on Randomization, and Combinatorial Optimization. Algorithms and Techniques
Approximation algorithms for the Fault-Tolerant Facility Placement problem
Information Processing Letters
Unconstrained and constrained fault-tolerant resource allocation
COCOON'11 Proceedings of the 17th annual international conference on Computing and combinatorics
Approximating the reliable resource allocation problem using inverse dual fitting
CATS '12 Proceedings of the Eighteenth Computing: The Australasian Theory Symposium - Volume 128
Improved approximation algorithms for constrained fault-tolerant resource allocation
FCT'13 Proceedings of the 19th international conference on Fundamentals of Computation Theory
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We study the problem of Fault-Tolerant Facility Allocation (FTFA) which is a relaxation of the classical Fault-Tolerant Facility Location (FTFL) problem [1]. Given a set of sites, a set of cities, and corresponding facility operating cost at each site as well as connection cost for each site-city pair, FTFA requires to allocate each site a proper number of facilities and further each city a prespecified number of facilities to access. The objective is to find such an allocation that minimizes the total combined cost for facility operating and service accessing. In comparison with the FTFL problem which restricts each site to at most one facility, the FTFA problem is less constrained and therefore incurs less cost which is desirable in application. In this paper, we consider the metric FTFA problem where the given connection costs satisfy triangle inequality and we present a polynomial-time algorithm with approximation factor 1.861 which is better than the best known approximation factor 2.076 for the metric FTFL problem [2].