intlp - EE236A (Fall 2007-08) Lecture 17 Integer linear...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: EE236A (Fall 2007-08) Lecture 17 Integer linear programming integer linear programming, 0-1 linear programming a few basic facts branch-and-bound 171 Definition integer linear program (ILP) minimize c T x subject to Ax b, Gx = d x Z n c mixed integer linear program: only some of the variables are integer 0-1 (Boolean) linear program variables take values or 1 Integer linear programming 172 Example: facility location problem n potential facility locations, m clients c i , i = 1 , . . . , n : cost of opening a facility at location i d ij , i = 1 . . . , m , j = 1 , . . . , n : cost of serving client i from location j determine optimal location: minimize n j =1 c j y j + m i =1 n j =1 d ij x ij subject to n j =1 x ij = 1 , i = 1 , . . . , m x ij y j , i = 1 , . . . , m, j = 1 , . . . , n x ij , y j { , 1 } y j = 1 if location j is selected x ij = 1 if location j serves client i a 0-1 LP Integer linear programming 173 Linear programming relaxation the LP obtained by deleting the constraints x Z n (or x {...
View Full Document

Page1 / 6

intlp - EE236A (Fall 2007-08) Lecture 17 Integer linear...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online