Approximation schemes for the restricted shortest path problem
Mathematics of Operations Research
QoS routing in networks with inaccurate information: theory and algorithms
IEEE/ACM Transactions on Networking (TON)
Fast Approximation Algorithms for the Knapsack and Sum of Subset Problems
Journal of the ACM (JACM)
The Directed Steiner Network Problem is Tractable for a Constant Number of Terminals
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Quality-of-service routing for supporting multimedia applications
IEEE Journal on Selected Areas in Communications
An FPTAS for Weight-Constrained Steiner Trees in Series-Parallel Graphs
COCOON '01 Proceedings of the 7th Annual International Conference on Computing and Combinatorics
A PTAS for weight constrained Steiner trees in series-parallel graphs
Theoretical Computer Science
Small Approximate Pareto Sets for Bi-objective Shortest Paths and Other Problems
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
Small Approximate Pareto Sets for Biobjective Shortest Paths and Other Problems
SIAM Journal on Computing
Cost-Constrained minimum-delay multicasting
SOFSEM'05 Proceedings of the 31st international conference on Theory and Practice of Computer Science
The subdivision-constrained routing requests problem
Journal of Combinatorial Optimization
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We study a problem related to QoS routing in an undirected network where each edge has a delay and a cost. Given a k-pair routing request {(si, ti, di)¦i = l,…,k} where si is ith source node, ti is ith destination node, and di, is the ith delay tolerance, we want to compute a minimum cost network which contains an si-ti path whose delay is at most di for every i. We present an FPTAS for this problem when k is a constant.