hw6 - CO 227 Homework assignment 6 Fall `10 Page 1 CO 227...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
CO 227 - Homework assignment 6 Fall ‘10 Page 1 CO 227 - Fall ‘10 Homework assignment #6: (Due at 5pm, on Monday, Dec 6th) Instructions: Please show all your work and justify your answers. Answers without proper justification will not be considered. Please list who you collaborated with. Please staple your homework and write your name and student id in pen. Total value = 90 points Question 1 - Branch-and-bound (30 points) Consider the following integer program: max z = x 1 +5 x 2 s.t. - 4 x 1 +3 x 2 6 3 x 1 +2 x 2 18 x 1 , x 2 0 and integer (IP) The picture below shows the branch-and-bound tree in the middle of solving this problem (only the nodes that were already explored are shown). Subp. 1 z * = 28 . 94 x * 1 = 2 . 47 x * 2 = 5 . 29 Subp. 2 z * = 25 . 5 x * 1 = 3 x * 2 = 4 . 5 Subp. 4 INFEASIBLE Subp. 5 z * = 23 . 33 x * 1 = 3 . 33 x * 2 = 4 Subp. 6 z * = 19 x * 1 = 4 x * 2 = 3 Subp. 7 z * = 23 x * 1 = 3 x * 2 = 4 Subp. 3 z * = 25 . 33 x * 1 = 2 x * 2 = 4
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/18/2011 for the course CO 227 taught by Professor 1 during the Spring '10 term at Waterloo.

Page1 / 3

hw6 - CO 227 Homework assignment 6 Fall `10 Page 1 CO 227...

This preview shows document pages 1 - 2. Sign up to view the full document.

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