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2002

Flexible linear programs with a restricted overall flexibility level

11 years 9 months ago
Flexible linear programs with a restricted overall flexibility level
It is usually supposed that tolerance levels are determined by the decision maker a priori in flexible linear programming (FLP) problems. In this paper we shall suppose that the decision maker does not care about the particular values of tolerance levels, but he wishes to keep their sum below a predetermined level, which we call his overall flexibility level. We also suppose that his overall flexibility level is soft, i.e. it is admissible to exceed it (to a certain extent). This is a new statement of FLP problems, because here the tolerance levels are also treated as variables, and the only restriction on them is that their sum should not exceed very much a given level. In this setup, we shall prove that the consistency level of FLP problems depends continuously on the decision maker's overall flexibility level.
Robert Fullér, Margit Kovács, Gy&oum
Added 19 Dec 2010
Updated 19 Dec 2010
Type Journal
Year 2002
Where FSS
Authors Robert Fullér, Margit Kovács, György Schuster
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