He needs to visit each of the cities listed in Figure and then return to Boston. In what order should Willie visit the cities to minimize the total distance he travels?
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Our work is in file Tsp. To model this problem in a spreadsheet, you should note that any ordering or permutation of the numbers 1—11 represents an order for visiting cities. Since the ordering is viewed from the location of City 1, there are 10!
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To begin you need to determine the total distance traveled for any given order for visiting the cities. Excel looks in the range of cells named Range and picks out the entry specified in row and column of Range. In this case, you can use the INDEX function to find the total distance traveled in visiting all cities. I began by entering in the range FF26 in order of the integers 1— This formula determines the distance between the last city listed in F26 and the first city listed in F In G17 the formula computes the distance between the first and second city listed, and so on.
Then I select Dif for All Different. This ensures that Solver always keeps the changing cells in the selected range, assuming the values 1, 2, up to Each value will occur exactly once.
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The Solver Parameters dialog box is shown in Figure Before running Solver, I increased the Mutation rate to. The minimum possible distance to travel is 8, miles.
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There are many other sequences for visiting the cities that also yield the minimum total travel distance of 8, miles. A small job shop needs to schedule six jobs. The due date and days needed to complete each job are given below. In what order should the jobs be scheduled to minimize the total days the jobs are late? The file Nbamiles.
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Suppose we live in New York and want to visit each arena once and return to New York. In what order should we visit the cities to minimize total distance traveled?
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