Faster approximation algorithms for packing and covering problems
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Summary
An algorithm is obtained that computes an -optimal flow by solving shortest path problems – the number of shortest paths computed grows as O( −1 log( )) in , and polynomially in the size of the problem.
- Type
- article
- Published
- 2004-01-01
- Cited by
- 17
- References
- 27
- OpenAlex
- https://openalex.org/W9771761
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:14400255
Keywords
Mathematics, Maximum flow problem, Separable space, Quadratic equation, Shortest path problem
References
- Approximate minimum-cost multicommodity flows in O (ɛ−2KNM) timetime
- Potential Function Methods for Approximately Solving Linear Programming Problems: Theory and Practice
- Approximating fractional multicommodity flow independent of the number of commodities
- Fast algorithms for convex quadratic programming and multicommodity flows
- Network Flows: Theory, Algorithms, and Applications
- A polynomial algorithm for minimum quadratic cost flow problems
- Fast Approximation Schemes for Convex Programs with Many Blocks and Coupling Constraints
- Adding multiple cost constraints to combinatorial optimization problems, with applications to multicommodity flows
- Faster Approximation Algorithms for the Unit Capacity Concurrent Flow Problem with Applications to Routing and Finding Sparse Cuts
- The flow deviation method: An approach to store-and-forward communication network design
- Fast deterministic approximation for the multicommodity flow problem
- Asymptotic analysis of the flow deviation method for the maximum concurrent flow problem
- Speeding-up linear programming using fast matrix multiplication
- The maximum concurrent flow problem
- A new algorithm for minimizing convex functions over convex sets
- Geometric Algorithms and Combinatorial Optimization
- Fast approximation algorithms for fractional packing and covering problems
- Fast approximation algorithms for multicommodity flow problems
- Faster and simpler algorithms for multicommodity flow and other fractional packing problems
- A simple local-control approximation algorithm for multicommodity flow
Cited by
- Using Optimization to Obtain a Width-Independent, Parallel, Simpler, and Faster Positive SDP Solver
- Distributed storage allocations for neighborhood-based data access
- Nearly-Linear Time Packing and Covering LP Solver with Faster Convergence Rate Than O(1/ε^2)
- Nearly-Linear Time Positive LP Solver with Faster Convergence Rate
- Towards generic relation extraction
- Multi-Document Summarisation Using Generic Relation Extraction
- Using Optimization to Solve Positive LPs Faster in Parallel
- Novel frameworks for auctions and optimization
- Nearly linear-time packing and covering LP solvers
- Solving Packing and Covering LPs in O(1ε^2) Distributed Iterations with a Single Algorithm and Simpler Analysis
- Fast Approximation Algorithms for Positive Linear Programs
- Nearly-Linear Time Packing and Covering LP Solver with Faster Convergence Rate Than O(1/" 2 )
- Dewey a Scaling Algorithm for Multicommodity Flow Problems a Scaling Algorithm for Multicommodity Flow Problems
- Approximation algorithms for linear programs and geometrically constrained packing roblems
- Nearly-Linear Time Packing and Covering LP Solvers ( Achieving Width-Independence and O ( 1 / ε )-Convergence )
- Multi-Document Summarisation Using Generic Relation Extraction Ben Hachey Centre for Languate Tecnology Macquarie
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