Determining basic variables of optimal solutions in Karmarkar's new LP algorithm (Q1113799)
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scientific article; zbMATH DE number 4081291
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Determining basic variables of optimal solutions in Karmarkar's new LP algorithm |
scientific article; zbMATH DE number 4081291 |
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Determining basic variables of optimal solutions in Karmarkar's new LP algorithm (English)
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1986
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This paper establishes a sufficient condition for a variable of a linear program to be positive at all optimal solutions. A numerical test using the condition is incorporated into Karmarkar's new LP algorithm to determine columns of optimal basis. Experimental results on the test are also reported.
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Karmarkar's algorithm
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optimal basis
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