Publications of Giovanni Rinaldi

This page shows all publications that appeared in the IASI annual research reports. Authors currently affiliated with the Institute are always listed with the full name.

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IASI Research Report n. 553  (Previous    Next)  

Giovanni Rinaldi, Voigt U., Woeginger G.J.

The mathematics of playing olf: a new class of difficult non-linear mixed integer programsg

ABSTRACT
We consider a class of non-linear mixed integer programs with n integer variables and k continuous variables. Solving instances from this class to optimality is an NP-hard problem. We show that for the cases with k = 1 and k = 2, every optimal solution is integral. In contrast to this, for every k ... 3 there exist instances where every optimal solution takes non-integral values. Keywords: non-linear optimization - mixed integer program integrality - computational complexity - NP-hard problem - golf problem.
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