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parametricprogramming.

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Enumerating the Set of Non-dominated Vectors in Multiple Objective Integer LinearProgramming
John Sylva, Alejandro Crema
Journal:

RAIRO - Operations Research / Volume 42 / Issue 3 / July 2008

Published online by Cambridge University Press:

20 August 2008, pp. 371-387

Print publication:

July 2008
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An algorithm for enumerating all nondominated vectors of multiple objectiveinteger linear programs is presented. The method tests different regionswhere candidates can be found using an auxiliary binary problem for trackingthe regions already explored. An experimental comparision with our previousefforts shows the method has relatively good time performance.