MIT Libraries logoDSpace@MIT

MIT
View Item 
  • DSpace@MIT Home
  • Operations Research Center
  • Operations Research Center Working Papers
  • View Item
  • DSpace@MIT Home
  • Operations Research Center
  • Operations Research Center Working Papers
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Heuristics, LPs, and Generalizations of Trees on Trees

Author(s)
Balakrishnan, Anantaram; Magnanti, Thomas L.; Mirchandani, Prakash
Thumbnail
DownloadOR-275-93.pdf (4.513Mb)
Metadata
Show full item record
Abstract
We study a class of models, known as overlay optimization problems, with a "base" subproblem and an "overlay" subproblem, linked by the requirement that the overlay solution be contained in the base solution. In some telecommunication settings, a feasible base solution is a spanning tree and the overlay solution is an embedded Steiner tree (or an embedded path). For the general overlay optimization problem, we describe a heuristic solution procedure that selects the better of two feasible solutions obtained by independently solving the base and overlay subproblems, and establish worst-case performance guarantees on both this heuristic and a linear programming relaxation of the model. These guarantees depend upon worst-case bounds for the heuristics and linear programming relaxations of the unlinked base and overlay problems. Under certain assumptions about the cost structure and the optimality of the subproblem solutions, the performance guarantees for both the heuristic and linear programming relaxation of the combined overlay optimization model are 33%. We also develop heuristic and linear programming performance guarantees for specialized models, including a dual path connectivity model with a worst-case performance guarantee of 25%, and an uncapacitated multicommodity network design model with a worst-case performance guarantee (approximately) proportional to the square root of the number of commodities.
Date issued
1993-01
URI
http://hdl.handle.net/1721.1/5377
Publisher
Massachusetts Institute of Technology, Operations Research Center
Series/Report no.
Operations Research Center Working Paper;OR 275-93

Collections
  • Operations Research Center Working Papers

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

Login

Statistics

OA StatisticsStatistics by CountryStatistics by Department
MIT Libraries
PrivacyPermissionsAccessibilityContact us
MIT
Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Notify us about copyright concerns.