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Homework1_solutions

Homework1_solutions - 1) paths..Some a

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1) Suppose that someone wants to drive from his home to Siebel Center and there are three available paths. This person can use models to help deciding which of the three paths is the best way. Some possible aspects to include in a model are: a. The distance between the home and Siebel Center in each of the paths. b. The number of stop lights and the time each one is green, yellow and red. c. Expected time you will have to wait on red lights. d. Usual time conditions in each path. e. Probability that there is an accident in the path. f. Average time it takes to get to Siebel Center using each path. If you had to implement a model, how would you choose to model each of the aspects a through f? Would you choose purely analytical or predominantly empirical approach? Explain your reasons. (For some items both answers are acceptable, depending on justification). a. Analytical – The distance can be given to the program b. Analytical – These can be provided to the program. Empirical would also make sense, for example, some lights are only green when there are cars waiting, so the time for those lights would depend on traffic. c. Analytical – Assuming a fixed schedule we could estimate the expected time analytically. Empirical would be a lot easier to implement, just travel some times and do the average. d. Empirical It would be easier to observe than to create an analytical model that would consider all conditions involved. e. Analytical – This data could be provided to the program. We might want to use an empirical model as well. For example, if we want this probability to be updated as the traffic patterns change on a give road. f. Empirical – This data could be estimated using the previous factors and several others, but it is very unlikely we would have enough knowledge to get it analytically. It would be easier to try a few times and calculate the average.

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2) Consider the search tree below. Node A is the root of the tree and double circled nodes are goal
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