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If some decision variables are not discrete, the problem is known as a '''mixed-integer programming''' problem.<ref>{{cite web |url=http://macc.mcmaster.ca/maccfiles/chachuatnotes/07-MILP-I_handout.pdf |title=Mixed-Integer Linear Programming (MILP): Model Formulation |access-date=16 April 2018}}</ref>
==Canonical and standard form for ILP(Interger Linear Programming) ==
In integer linear programming, the ''canonical form'' is distinct from the ''standard form''. An integer linear program in canonical form is expressed thus (note that it is the <math>\mathbf{x}</math> vector which is to be decided):<ref name="optBook">{{cite book|last1=Papadimitriou|first1=C. H.|author1-link=Christos Papadimitriou|last2=Steiglitz|first2= K.|author2-link=Kenneth Steiglitz|title=Combinatorial optimization: algorithms and complexity|year=1998|publisher=Dover|___location=Mineola, NY|isbn=0486402584}}</ref>
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