Lagrangian relaxation via ballstep subgradient methods
2007 (English)In: Mathematics of Operations Research, ISSN 0364-765X, Vol. 32, no 3, 669-686 p.Article in journal (Refereed) Published
We exhibit useful properties of ballstep subgradient methods for convex optimization using level controls for estimating the optimal value. Augmented with simple averaging schemes, they asymptotically find objective and constraint subgradients involved in optimality conditions. When applied to Lagrangian relaxation of convex programs, they find both primal and dual solutions, and have practicable stopping criteria. Up until now, similar results have only been known for proximal bundle methods, and for subgradient methods with divergent series stepsizes, whose convergence can be slow. Encouraging numerical results are presented for large-scale nonlinear multicommodity network flow problems. ©2007 INFORMS.
Place, publisher, year, edition, pages
2007. Vol. 32, no 3, 669-686 p.
IdentifiersURN: urn:nbn:se:liu:diva-40001DOI: 10.1287/moor.1070.0261Local ID: 51993OAI: oai:DiVA.org:liu-40001DiVA: diva2:260850