Homework7 - ENGRI 1101 Engineering Applications of OR Fall...

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Unformatted text preview: ENGRI 1101 Engineering Applications of OR Fall ’09 Homework 7 The Transportation and Assignment Problems • Due date: 4:00pm on Friday, October 30, 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 7 and Chapter 3 of Winston (included in coursepack), at least through section 3.5. • Make sure to put your name, netid, and section on the first page and staple the problems in order. 1. (50 points) Consider the assignment problem that corresponds to the following cost matrix. 6 5 2 4 4 4 3 6 7 6 8 7 1 2 3 4 (a) (10 points) Suppose that we subtract now 2 from all the entries in the first row of the matrix. Explain carefully, why the resulting problem defined on the new cost matrix, is equivalent to the original one. (b) (40 points) Apply the Hungarian algorithm to solve the given (original) assignment problem....
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