AN ALTERNATIVE EXPLANATION OF DISJUNCTIVE FORMULATIONS

Authors
Citation
Hp. Williams, AN ALTERNATIVE EXPLANATION OF DISJUNCTIVE FORMULATIONS, European journal of operational research, 72(1), 1994, pp. 200-203
Citations number
6
Categorie Soggetti
Management,"Operatione Research & Management Science
ISSN journal
03772217
Volume
72
Issue
1
Year of publication
1994
Pages
200 - 203
Database
ISI
SICI code
0377-2217(1994)72:1<200:AAEODF>2.0.ZU;2-A
Abstract
The purpose of this paper is to explain the property of Disjunctive Fo rmulations for Mixed Integer Programmes in a simpler way, relying on t he Linear Programme (LP) definition of a dual. Disjunctive Formulation s are contrasted with standard formulations. They have proved a very p owerful way of modelling Integer Programmes. If a 'complete' disjuncti ve formulation is carried out we have a model whose LP Relaxation yiel ds an integer solution. It is shown that a Disjunctive Formulation has a natural dual which is an LP. Therefore the dual of the dual is an L P representation of the original Disjunctive Model. It is in fact a Di sjunctive Formulation.