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A traveling salesman aims to travel some cities so that he visits each city exactly one time and gets back to the original place, while minimizing the cost. The vertices in the following graph repre- sent the cities and the weights on the edges represent the costs. Model this problem into an integer programming problem . You don't need to solve the problem. D 2

A traveling salesman aims to travel some cities so that he visits each city exactly one time and gets back to the original place, while minimizing the cost. The vertices in the following graph repre- sent the cities and the weights on the edges represent the costs. Model this problem into an integer programming problem . You don't need to solve the problem. D 2

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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**Problem Description:** A traveling salesman aims to travel to some cities so that he visits each city exactly one time and gets back to the original place, while minimizing the cost. The vertices in the following graph represent the cities and the weights on the edges represent the costs. Model this problem into an integer programming problem. You don’t need to solve the problem. **Graph Explanation:** The graph is a weighted undirected graph comprising four vertices, labeled A, B, C, and G. These vertices likely represent cities. There are edges connecting these vertices with associated weights, signifying the costs of travel between these cities: - The edge AB has a weight of 2. - The edge AD has a weight of 6. - The edge AC has a weight of 6. - The edge BD has a weight of 2. - The edge BC has a weight of 5. - The edge CD has a weight of 5. - The edge DG has a weight of 3. - The edge BG has a weight of 1. The objective is to find a path starting and ending at the same city, visiting each city exactly once, while minimizing the total travel cost. This is a classic "Traveling Salesman Problem" (TSP) scenario and is often approached using integer programming techniques.
Transcribed Image Text:**Problem Description:** A traveling salesman aims to travel to some cities so that he visits each city exactly one time and gets back to the original place, while minimizing the cost. The vertices in the following graph represent the cities and the weights on the edges represent the costs. Model this problem into an integer programming problem. You don’t need to solve the problem. **Graph Explanation:** The graph is a weighted undirected graph comprising four vertices, labeled A, B, C, and G. These vertices likely represent cities. There are edges connecting these vertices with associated weights, signifying the costs of travel between these cities: - The edge AB has a weight of 2. - The edge AD has a weight of 6. - The edge AC has a weight of 6. - The edge BD has a weight of 2. - The edge BC has a weight of 5. - The edge CD has a weight of 5. - The edge DG has a weight of 3. - The edge BG has a weight of 1. The objective is to find a path starting and ending at the same city, visiting each city exactly once, while minimizing the total travel cost. This is a classic "Traveling Salesman Problem" (TSP) scenario and is often approached using integer programming techniques.
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