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[CCICADA-announce] DIMACS/CCICADA Interdisciplinary SeminarSeries - Monday, November 21, 2011

Linda Casals lindac at dimacs.rutgers.edu
Mon Nov 21 08:35:35 EST 2011


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DIMACS/CCICADA Interdisciplinary Seminar Series Presents
               
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Title: Cutting Planes and Elementary Closures for Non-linear Integer Programming

Speaker: Juan Pablo Vielma, University of Pittsburg

Date: Monday, November 21, 2011 11:00am - 12:00pm

Location: DIMACS Center, CoRE Bldg, Room 431, Rutgers University                 
             Busch Campus, Piscataway, NJ
                          
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Abstract:

In this talk we discuss theoretical properties of cutting planes for
non-linear integer programming and the elementary closures generated
by combining all cuts in a given family. We give closed form
expression in the original variable space of split cuts for certain
classes of conic quadratic representable sets and show that, while the
split closure of a strictly convex body is defined by a finite number
of split disjunctions, it is not necessarily polyhedral. To contrast
this result we also show that Chvatal-Gomory closure of any compact
convex set is a rational polytope. In particular this result shows
that the Chvatal-Gomory closure of a non-rational polytope is a
rational polytope, resolving an open question posed by A. Schrijver in
1980. We finally discuss the implication of these results and present
some theoretical and computational open questions related to them.


DIMACS/CCICADA Interdisciplinary Series - Complete Fall Calendar 2011
See: http://dimacs.rutgers.edu/Seminars/interseminars.html




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