### Mahdi Doostmohammadi (Management Science, University of Strathclyde)

#### Application of polyhedral theory and cutting planes method to solving complex inventory problems

*Wednesday 19 November 2014 at 15.00, JCMB 6206*

##### Abstract

In this study, I focus on the derivation and use of cutting planes to solve
general mixed integer problems, and in particular inventory problems combined
with other problems such as distribution, supplier selection, vehicle routing,
etc (called complex inventory problems). In order to achieve this goal, I
first consider substructures (relaxations) of such problems which are obtained
by the coherent loss of information. The polyhedral structure of those simpler
mixed integer sets is studied to derive strong valid inequalities. Finally
those strong inequalities are included in the cutting planes algorithm to
solve the general mixed integer problems.

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