On constraint sets of infinite linear programs over ordered fields

K. O Kortanek; H. M Strojwas

doi:10.1007/BF01582242

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On constraint sets of infinite linear programs over ordered fields

Journal article

Peer reviewed

On constraint sets of infinite linear programs over ordered fields

K. O Kortanek and H. M Strojwas

Mathematical programming, Vol.33(2), pp.146-161

11/1985

DOI: 10.1007/BF01582242

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Abstract

This paper provides a characterization of extreme points and extreme directions of the subsets of the space of generalized finite sequences occurring as the constraint sets of semi-infinite or infinite linear programs. The main result is that these sets are generated by (possibly infinitely many) extreme points and extreme directions. All results are valid over arbitrary ordered fields.

Applied Sciences

Exact sciences and technology

Mathematical programming

Operational research and scientific management

Operational research. Management science

Details

Title: Subtitle: On constraint sets of infinite linear programs over ordered fields
Creators: K. O Kortanek - Carnegie Mellon University
H. M Strojwas - Carnegie Mellon University
Resource Type: Journal article
Publication Details: Mathematical programming, Vol.33(2), pp.146-161
DOI: 10.1007/BF01582242
ISSN: 0025-5610
eISSN: 1436-4646
Publisher: Springer
Number of pages: 16
Language: English
Date published: 11/1985
Academic Unit: Business Analytics
Record Identifier: 9984963197302771

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