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homework 1

homework 1 - Jordan Hauer ENGRI 115 Lab Section Monday...

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Jordan Hauer 9/9/04 ENGRI 115 Lab Section: Monday Homework #1 1. (See attached) 2. I would convert this problem into an input in the traveling salesman mold by making each drop-off a city and make my home the starting and ending city. The information about avenues taking three times as long to cross would also need to be inputted. The last required input is the time or cost it takes to travel from city to city, or drop-off to drop-off. Each path would have a certain time T(s,d) where s is the starting city and d is the destination city. The time is calculated by finding the time it takes to get from the starting city to the pickup point and then to the drop-off point. In this problem, calculating the time is a two-step process instead of a one-step process. s: (x s , y s ) pickup (p): (x p , y p ) d: (x d , y d ) T(s,d) = T(s,p) + T(p,d) = 3|x s – x p | + |y s – y p | + 3|x p – x d | + |y p – y d | 3. The input in question 2 is not symmetric because of the fact that you need to travel to an intermediate point before you travel to your destination, and the pickup point is different for all the destinations. For example, if you travel from

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