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Problem 4: THE TRAVELING SALESPERSON PROBLEM a salesperson has five cities to visit and then must return home. The goal of the problem Suppose is to find the shortest path for the salesperson to travel, visiting each city, and then returning to the starting city. Figure 3.9 gives an instance of this problem. The nodes of the graph represent cities, and each arc is labeled with a weight indicating the cost of traveling that arc. This cost might be a representation of the miles necessary in car travel or cost off an air flight between the two cities

Problem 4: THE TRAVELING SALESPERSON PROBLEM a salesperson has five cities to visit and then must return home. The goal of the problem Suppose is to find the shortest path for the salesperson to travel, visiting each city, and then returning to the starting city. Figure 3.9 gives an instance of this problem. The nodes of the graph represent cities, and each arc is labeled with a weight indicating the cost of traveling that arc. This cost might be a representation of the miles necessary in car travel or cost off an air flight between the two cities

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter23: Simulation With The Excel Add-in @risk
Section: Chapter Questions
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The question says Figure 3.9 and the photo shots Figure 1, use the Figure shown please. Thanks!

**Problem 4: THE TRAVELING SALESPERSON PROBLEM** Suppose a salesperson has five cities to visit and then must return home. **The goal of the problem is to find the shortest path for the salesperson to travel, visiting each city, and then returning to the starting city.** Figure 3.9 gives an instance of this problem. The nodes of the graph represent cities, and each arc is labeled with a weight indicating the cost of traveling that arc. This cost might be a representation of the miles necessary in car travel or cost of an air flight between the two cities. **Problem 4(A)** How many possible orders can the salesperson use when visiting these cities? **Problem 4(B)** Please find the traveling salesperson path in Traveling Salesperson Problem for the graph given in Figure 1 below, **please justify your answer.** --- **Figure 1. Traveling Salesperson Problem.** *Description of the Graph:* The graph consists of five nodes labeled A, B, C, D, and E. Each node represents a city. The edges connecting the nodes have weights: - A to B: 100 - A to E: 75 - A to C: 125 - A to D: 100 - B to C: 75 - B to E: 125 - B to D: 125 - C to D: 100 - C to E: 125 - D to E: 50 These weights indicate the cost or distance between each pair of cities. The goal is to determine the shortest path that visits all cities and returns to the starting point.
Transcribed Image Text:**Problem 4: THE TRAVELING SALESPERSON PROBLEM** Suppose a salesperson has five cities to visit and then must return home. **The goal of the problem is to find the shortest path for the salesperson to travel, visiting each city, and then returning to the starting city.** Figure 3.9 gives an instance of this problem. The nodes of the graph represent cities, and each arc is labeled with a weight indicating the cost of traveling that arc. This cost might be a representation of the miles necessary in car travel or cost of an air flight between the two cities. **Problem 4(A)** How many possible orders can the salesperson use when visiting these cities? **Problem 4(B)** Please find the traveling salesperson path in Traveling Salesperson Problem for the graph given in Figure 1 below, **please justify your answer.** --- **Figure 1. Traveling Salesperson Problem.** *Description of the Graph:* The graph consists of five nodes labeled A, B, C, D, and E. Each node represents a city. The edges connecting the nodes have weights: - A to B: 100 - A to E: 75 - A to C: 125 - A to D: 100 - B to C: 75 - B to E: 125 - B to D: 125 - C to D: 100 - C to E: 125 - D to E: 50 These weights indicate the cost or distance between each pair of cities. The goal is to determine the shortest path that visits all cities and returns to the starting point.
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