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Consider the rollout algorithm for the traveling salesman problem using as base heuristic the nearest neighbor method, whereby we start from some simple path and at each iteration, we add a node that does not close a cycle and minimizes the cost of the enlarged path (see the paragraph following the description of the rollout algorithm iteration in Section 10.5). Write a computer program to apply this algorithm to the problem involving Hamilton's 20-node graph (Exercise 1.35) for the case where all arcs have randomly chosen costs from the range [0, 1]. For node pairs for which there is no arc, introduce an artificial arc with cost randomly chosen from the range [100, 101]. Compare the performances of the rollout algorithm and the nearest neighbor heuristic, and compile relevant statistics by running a suitable large collection of randomly generated problem instances. Verify that the rollout algorithm performs at least as well as the nearest neighbor heuristic for each instance (since it is sequentially consistent).
Explain what an outlier is
In Eurelia there are three categories of bicycle license, with different fees for each. The table below is based on a random sample of 122 Eurelian bicycle-license holders.
Describe the sampling distribution of the sample proportion
What four steps should be used in evaluating expressions? Could these steps be skipped or rearranged? Explain your answersr.
a study is designed to investigate whether there is a difference in response to various treatments in patients with
a simple random sample of 300 properties is taken from a collection of 9500 properties 3000 of which do not have
Ball bearings are manufactured with a diameter of 5 mm. But the process has variation, so the diameter is normally distributed with a mean of 5 mm and a standard deviation of .02 mm. A) What proportion of ball bearings are more than 5.03 mm?
iq data is thought to be normally distributed with a mean of 100 and a standard deviation of 15. using the emperical
Fast ‘n Clean operates 12 laundromats on the east side of the city. All of Fast ‘n Clean's clothes dryers have a label stating "20 minutes for $1.00." Conduct the same two-tail hypothesis test, but this time use the confidence interval app..
A new restaurant with 123 seats is being planned. Studies show that 57% of the customers demand a smoke free area. How many seats sould be in the non-smoking area in order to be very sure (mean+3StandardDeviation) of having enough seating there?
Repeat construction of the optimal ?lter from Example 7.3.1 in the case when the useful signal Y (t)has a more general power spectrum a SY (f ) = b2 + f 2 , and the uncorrelated white noise N(t) has arbitrary power spectrum SN (f ) ≡ N .
An investigator wants to show that first-born children score higher on IQ tests than second-borns. He takes a simple random sample of 400 two-child families in a school district, both children being enrolled in elementary school. He gives these ..
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