Finding the minimum cost of an airline route using the traveling salesman problem

We present an application of the Traveling Salesman Problem (TSP) using Integer Linear Programming (ILP) via Branch-and-Bound and Heuristics via Nearest Neighbor and 2-Opt. We apply these methods to find the minimum cost of visiting 48 states in the United States of America (U.S.A.) where we have to...

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Bibliographic Details
Main Authors: Su-A, Kim, Tan, Jane Lisette T.
Format: text
Language:English
Published: Animo Repository 2014
Subjects:
Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/17997
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Institution: De La Salle University
Language: English
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Summary:We present an application of the Traveling Salesman Problem (TSP) using Integer Linear Programming (ILP) via Branch-and-Bound and Heuristics via Nearest Neighbor and 2-Opt. We apply these methods to find the minimum cost of visiting 48 states in the United States of America (U.S.A.) where we have to visit each states exactly once and return to its original destination. We compare the different results and see how each algorithm appraise the accuracy of the calculations.