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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Koufogiannakis, C. Young, N.E. |
| Copyright Year | 2007 |
| Description | Author affiliation: Univ. of California at Riverside, Riverside (Koufogiannakis, C.; Young, N.E.) |
| Abstract | We give an approximation algorithm for packing and covering linear programs (linear programs with non-negative coefficients). Given a constraint matrix with n non-zeros, r rows, and c columns, the algorithm (with high probability) computes feasible primal and dual solutions whose costs are within a factor of I +epsiv of OPT l+ epsiv of OPT (the optimal cost) in time O(n + (r +c) log(n) / $epsiv^{2}).$ For dense problems (with r,c = O(-radicn)) the time is Omega (n log(n) / $epsiv^{2})-linear$ even as epsiv rarr 0. In comparison, previous Lagrangian-relaxation algorithms generally take at least Omega(n $log(n)/epsiv^{2})$ time, while (for small epsiv) the Simplex algorithm typically takes at least Omega(n min(r, c)) time. |
| Starting Page | 494 |
| Ending Page | 504 |
| File Size | 338972 |
| Page Count | 11 |
| File Format | |
| ISBN | 9780769530109 |
| ISSN | 02725428 |
| DOI | 10.1109/FOCS.2007.62 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2007-10-21 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Lagrangian functions Linear programming Cost function Optimized production technology Computer science Approximation algorithms Constraint optimization Data structures |
| Content Type | Text |
| Resource Type | Article |
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