Fourier-Motzkin elimination for mixed systems
A simple extension of Fourier-Motzkin elimination is made to mixed systems of equations, that is, systems consisting of equalities in conjunction with inequalities and strict inequalities. The principal observation is that inequalities combined with strict inequalities result in strict inequalities. Two applications are made to automatic data editing. First, a constructive method is provided to test for the existence of a linear objective function for the minimum weighted fields to impute (MWFI) problem with side constraints. If the linear objective function exists, it is determined; if it does not exist, the extension to a quadratic objective function is given. Next, for any fixed linear objective function, a solution algorithm based on extended Fourier-Motzkin elimination is given for the resultant MWFI and is illustrated with an example. It is believed that the applications are significant in their own right: they provide solution techniques to difficult problems in the field of automatic data editing.
- Research Organization:
- Oak Ridge National Lab., TN (USA)
- DOE Contract Number:
- W-7405-ENG-26
- OSTI ID:
- 5860090
- Report Number(s):
- ORNL/TM-8659; ON: DE83017476
- Country of Publication:
- United States
- Language:
- English
Similar Records
Fourier-Motzkin elimination as a technique for error localization
Rigorous, systematic approach to automatic data editing and its statistical basis
Rigorous, systematic approach to automatic data editing and its statistical basis
Conference
·
Fri Dec 31 23:00:00 EST 1982
·
OSTI ID:5507395
Rigorous, systematic approach to automatic data editing and its statistical basis
Technical Report
·
Thu Jan 31 23:00:00 EST 1980
·
OSTI ID:5518874
Rigorous, systematic approach to automatic data editing and its statistical basis
Technical Report
·
Wed Dec 31 23:00:00 EST 1980
·
OSTI ID:6727539