Generating facets for finite master cyclic group polyhedra using n-step mixed integer rounding functions

Kiavash Kianfar and Yahya Fathi

European Journal of Operational Research, 2010, vol. 207, issue 1, 105-109

Abstract: The n-step mixed integer rounding (MIR) functions generate n-step MIR inequalities for MIP problems and are facets for the infinite group problems. We show that the n-step MIR functions also directly generate facets for the finite master cyclic group polyhedra especially in many cases where the breakpoints of the n-step MIR function are not necessarily at the elements of the group (hence the linear interpolation of the facet coefficients obtained has more than two slopes).

Keywords: Integer; programming; Mixed; integer; rounding; Group; problem; Polyhedra; Facet (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:207:y:2010:i:1:p:105-109

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