Homework10 - ENGRI 1101 Engineering Applications of OR Fall...

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ENGRI 1101 Engineering Applications of OR Fall ’09 Homework 10 Integer Programming II Due date: 4:00pm on Friday, November 20, 2009 in the ENGRI 1101 box at the west end of the corridor on the second floor of Rhodes Hall, where it connects to Upson. Reading assignment: Handout 9 in the course packet and Chapter 9 of Winston (“Integer Program- ming”), also included in the course packet. Make sure to put your name, netid and section on the cover page and staple the problems in order. 1. (50) Consider the small Sudoku puzzle posted in the Problem Set folder on Blackboard. Give an integer program whose solution you could use to find the answer to this puzzle. (Hint: you should only use variables that are constrained to be either 0 or 1, just like in the assignment problem.) 2. (50) You wish to apply branch-and-bound to a maximization integer program with 0-1 variables (that is, the variables are restricted to be either 0 or 1). (a) (5) When you solve a linear programming relaxation and branch on some variable
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Homework10 - ENGRI 1101 Engineering Applications of OR Fall...

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