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Original Articles

Zur konstruktivität bei (gcmischt-) ganzzahigen optimierungsaufgaben

Pages 343-357 | Received 01 Sep 1981, Published online: 27 Jun 2007
 

Abstract

For classes of (mixed-) integer optimization problems of the form

where are polynomials with national coefficients, the following questions are considered:

1. Is there an algorithm for deciding if an arbitrary problem of the considered class has a solution?

2. Is there an algorithm for determining a solution of an arbitrary problem of the considered class, which has a solution?

Classes are presented for which the answer to question 1 or 2 is positive.

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