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    Using Matrices And Hungarian Method To Solve The Traveling Salesman Problem

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    Title
    Using Matrices And Hungarian Method To Solve The Traveling Salesman Problem
    Author
    Couto, Briana
    Date
    2018
    Subject
    mathematics
    algorithm
    
    Metadata
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    URI
    http://hdl.handle.net/20.500.13013/644
    Abstract
    In this paper, we introduce the Traveling Salesman Problem (TSP) and solve for the most efficient route of the problem using the steps of the Hungarian method. Specifically, this paper discusses the properties of a TSP matrix, provides the steps for the Hungarian method, and presents examples that apply these concepts to a Traveling Salesman Problem. We do not consider any constraints on the order in which the localities are visited, nor do we take into account possible traffic at differing times. We use examples to show how the Hungarian method is used and why it is an efficient way to solve the Traveling Salesman Problem.
    Advisor
    Crowe, Kathi
    Department
    Mathematics
    Degree
    Bachelor of Science (BS)
    Collections
    Mathematics Honors Theses
    Honors Theses

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