Solved: Suppose that in solving a TSP you use the nearest-neighbor algorithm and find a

Chapter 6, Problem 47

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QUESTION:

Suppose that in solving a TSP you use the nearest-neighbor algorithm and find a nearest-neighbor tour with a total cost of $13,500. Suppose that you later find out that the cost of an optimal tour is $12,000. What was the relative error of your nearest-neighbor tour? Express your answer as a percentage, rounded to the nearest tenth of a percent.

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QUESTION:

Suppose that in solving a TSP you use the nearest-neighbor algorithm and find a nearest-neighbor tour with a total cost of $13,500. Suppose that you later find out that the cost of an optimal tour is $12,000. What was the relative error of your nearest-neighbor tour? Express your answer as a percentage, rounded to the nearest tenth of a percent.

ANSWER:

Step 1 of 3

The relative error of a tour is calculated as , where  is the cost of the tour obtained and  is the cost of the optimal tour.

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