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dc.contributor.authorEmami Taba, Mahsa Sadat
dc.date.accessioned2010-01-07 21:23:36 (GMT)
dc.date.available2010-01-07 21:23:36 (GMT)
dc.date.issued2010-01-07T21:23:36Z
dc.date.submitted2009
dc.identifier.urihttp://hdl.handle.net/10012/4906
dc.description.abstractOne of the simplest, but still NP-hard, routing problems is the Traveling Salesman Problem (TSP). In the TSP, one is given a set of cities and a way of measuring the distance between cities. One has to find the shortest tour that visits all cities exactly once and returns back to the starting city. In state-of-the-art algorithms, they all assume that a complete graph is given as an input. However, for very large graphs, generating all edges in a complete graph, which corresponds to finding shortest paths for all city pairs, could be time-consuming. This is definitely a major obstacle for some real-life applications, especially when the tour needs to be generated in real-time. The objective, in this thesis, is to find a near-optimal TSP tour with a reduced set of edges in the complete graph. In particular, the following problems are investigated: which subset of edges can be produced in a shorter time comparing to the time for generating the complete graph? Is there a subset of edges in the complete graph that results in a better near-optimal tour than other sets? With a non-complete graph, which improvement algorithms work better? In this thesis, we study six algorithms to generate subsets of edges in a complete graph. To evaluate the proposed algorithms, extensive experiments are conducted with the well-known TSP data in a TSP library. In these experiments, we evaluate these algorithms in terms of tour quality, time and scalability.en
dc.language.isoenen
dc.publisherUniversity of Waterlooen
dc.subjectTraveling Salesman Problem (TSP)en
dc.subjectCombinatorial Optimizationen
dc.titleSolving Traveling Salesman Problem With a non-complete Graphen
dc.typeMaster Thesisen
dc.pendingfalseen
dc.subject.programComputer Scienceen
uws-etd.degree.departmentSchool of Computer Scienceen
uws-etd.degreeMaster of Mathematicsen
uws.typeOfResourceTexten
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen


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