Solving LP problems via weighted centers
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Solving LP problems via weighted centers

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Published by Cornell Theory Center, Cornell University in Ithaca, N.Y .
Written in English


Book details:

Edition Notes

StatementAiping Liao, Michael J. Todd.
SeriesTechnical report / Cornell Theory Center -- CTC93TR145., Technical report (Cornell Theory Center) -- 145.
ContributionsTodd, Michael J., 1947-, Cornell Theory Center., Cornell Theory Center. Advanced Computing Research Institute.
The Physical Object
Pagination37 p. ;
Number of Pages37
ID Numbers
Open LibraryOL16960207M

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With these centers, we develop new algorithms for solving linear programming problems. Key words. weighted center, the ellipsoid method, Newton's method, linear programming. AMS subject classifications. 65K, 90C 1. Introduction and history of centers. In this paper we will consider linear programming problems with the following form: min c T x. Solving LP Problems Via Weighted Centers. By Aiping Liao, Michael and MICHAEL J. TODD. Abstract. The feasibility problem for a system of linear inequalities can be converted into an unconstrained optimization problem using ideas from the ellipsoid method, which can be viewed as a very simple minimization technique for the resulting nonlinear Author: Aiping Liao, Michael and MICHAEL J. TODD. @ARTICLE{Liao96solvinglp, author = {Aiping Liao and Michael and MICHAEL J. TODD}, title = {Solving LP Problems Via Weighted Centers}, journal = {J. Global Opt}, year = {}, volume = {28}, pages = {}} Share. OpenURL. Abstract. The feasibility problem for a system of linear inequalities can be converted into an. The \(k\)-Cover Problem The \(k\)-center problem, considered above, has an interesting variant which allows us to avoid the min-max objective, based on the so-called the \(k\)-cover problem. In the following, we utilize the structure of \(k\)-center in a process for solving it making use of binary search.

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