On better heuristic for euclidean Steiner minimum trees (extended abstract)
SFCS '91 Proceedings of the 32nd annual symposium on Foundations of computer science
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Journal of the ACM (JACM)
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An efficient approximation scheme for the one-dimensional bin-packing problem
SFCS '82 Proceedings of the 23rd Annual Symposium on Foundations of Computer Science
Combinatorial Optimization: Theory and Algorithms
Combinatorial Optimization: Theory and Algorithms
Approximation algorithms for network design and facility location with service capacities
APPROX'05/RANDOM'05 Proceedings of the 8th international workshop on Approximation, Randomization and Combinatorial Optimization Problems, and Proceedings of the 9th international conference on Randamization and Computation: algorithms and techniques
Minimum buffered routing with bounded capacitive load for slew rate and reliability control
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Operations Research Letters
Proceedings of the 2009 international symposium on Physical design
Impact of local interconnects on timing and power in a high performance microprocessor
Proceedings of the 19th international symposium on Physical design
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We present the first constant-factor approximation algorithms for the following problem. Given a metric space (V, c), a finite set D ⊆ V of terminals/customers with demands d : D → R+, a facility opening cost f ∈ R+ and a capacity u ∈R+, find a partition D = D1⊍…⊍Dk and Steiner trees Ti for Di (i = 1, …,k) with c(E(Ti)) + d(Di) ≤ u for i = 1,…,k such that &sumi = 1k c(E(Ti)) + kf is minimum. This problem arises in VLSI design. It generalizes the bin-packing problem and the Steiner tree problem. In contrast to other network design and facility location problems, it has the additional feature of upper bounds on the service cost that each facility can handle. Among other results, we obtain a 4.1-approximation in polynomial time, a 4.5-approximation in cubic time, and a 5-approximation as fast as computing a minimum spanning tree on (D, c).