On duality and the maximum principle for continuous linear programming problems (Q1072942)
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scientific article; zbMATH DE number 3943582
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On duality and the maximum principle for continuous linear programming problems |
scientific article; zbMATH DE number 3943582 |
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On duality and the maximum principle for continuous linear programming problems (English)
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1985
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Using a decomposition procedure and duality technique the author - extending Grinold's maximum principle - proves a duality result for a continuous linear programming problem where the known duality theorems do not ensure the existence of dual optimal solutions. The result is then applied to study a bounded control problem which is more general than the one investigated by the author in a previous paper [Z. Angew. Math. Mech. 64, 551-556 (1984; Zbl 0569.65047)].
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decomposition procedure
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duality technique
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Grinold's maximum principle
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duality result
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continuous linear programming
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existence of dual optimal solutions
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bounded control
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0.9252465
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0.92010844
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0.91702116
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0.91265386
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0.9086971
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0.90713674
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0.90654725
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0.90546286
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