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Homework1 - ENGRI 1101 Engineering Applications of OR Fall...

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ENGRI 1101 Engineering Applications of OR Fall 2008 Homework 1 Homework 1: TSP Due date: 4:00pm on Friday, September 5, 2008 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 2 on the traveling salesman problem. Make sure to put your name on the first page and staple the problems in order. This homework will be entirely about the following problem. After graduating from Cornell, you’ve decided to make use of your excellent biking skills you acquired riding around Ithaca hills, and become a bicycle messenger in Manhattan. Fortunately, you’ve taken ENGRI 1101, and are a much more efficient messenger than your competition. For simplicity, we will view your service area in Manhattan as a giant grid of street and avenue blocks; the avenues will be assumed to run from 0th Avenue to 10th Avenue, and the perpendicular streets will run from 0th Street to 100th Street. Thus every avenue-street intersection can be expressed as a pair ( x,y ) , which refers to the corner of x th Ave. and y th St.; thus, the grid of intersection points contains the points
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