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Author Greenberg, Harvey J. ♦ O'Neill, Richard P.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Keyword Data perturbation ♦ Representation of floating-point numbers ♦ Sparse matrices ♦ Mathematical programming
Abstract This paper describes a form of purposeful data perturbation in a linear programming model which pertains to uncertainties in the magnitudes of the matrix coefficients. A problem in value pool construction is described first, then a resolution based on a new concept, “covering lattices.” Computer representations of real values, limited by finite precision, is an example of a covering lattice. After presenting the strategy and tactical variations, the effects of resident distortion are analyzed. Several theorems are presented that measure bias under a variety of assumptions. An appendix is included that contains mathematical proofs.
Description Affiliation: Office of Energy Source Analysis, Washington, DC (O'Neill, Richard P.) || Office of Analysis Oversight and Access, Washington, DC (Greenberg, Harvey J.)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2005-08-01
Publisher Place New York
Journal Communications of the ACM (CACM)
Volume Number 24
Issue Number 7
Page Count 6
Starting Page 451
Ending Page 456

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Source: ACM Digital Library