Search results with tag "Traveling salesman problem"
The Traveling Salesman problem
cs.indstate.eduThe traveling salesman problem involves a salesman who must make a tour of a number of cities using the shortest path available and visit each city exactly once and only once and return to the original starting point. For each number of cities …
Chapter 10
www.csd.uoc.gr10.2 Methods to solve the traveling salesman problem 10.2.1 Using the triangle inequality to solve the traveling salesman problem Definition: If for the set of vertices a, b, c ∈ V, it is true that t (a, c) ≤ t(a, b) + t(b, c) where t is the cost function, we say that t satisfies the triangle inequality.
Networks 1: Shortest path problem - MIT OpenCourseWare
ocw.mit.eduTraveling Salesman Problem The 48 city problem. 31 George Dantzig, Ray Fulkerson, and Selmer Johnson (1954) Mental Break 32 . 33 More Definitions A network is connected if every node can be reached from every other node by a path 2 1 4 3 5 . A spanning tree is a connected subset of a network
Networks 3: Traveling salesman problem
ocw.mit.eduTraveling Salesperson Problem (TSP) Find the shortest distance tour passing through each node of the network exactly once. cij = distance
Graph Theory with Applications to Engineering and Computer ...
www.shahucollegelatur.org.in2-10 The Traveling Salesman Problem Summary www.TechnicalBooksPDF.com. References Problems 3 TREES AND FUNDAMENTAL CIRCUITS 3-1 Trees 3-2 Some Properties of Trees ... 12-2 Analysis of Contact Networks 12-3 Synthesis of Contact Networks 12-4 Sequential Switching Networks 12-5 Unit Cube and Its Graph 12-6 Graphs in Coding Theory Summary
APPLICATIONS OF GRAPH THEORY IN COMPUTER …
www.cs.xu.eduapplications say traveling salesman problem, database design concepts, resource networking. This leads to the development of new algorithms and new theorems that can be used in tremendous applications. This paper has been divided into two sections. First section gives the historical background of graph theory and some applications in scheduling.
Robust Optimization - gatech.edu
www2.isye.gatech.eduThe Traveling Salesman Problem: A Computational Study, David L. Applegate, Robert E. Bixby, Vasek Chvatal, and William J. Cook Wave Scattering by Time-Dependent Perturbations: An Introduction, G. F. Roach Algebraic Curves over a Finite Field, J.W.P. Hirschfeld, G. Korchmáros, and F. Torres Distributed Control of Robotic Networks: A Mathematical Approach to Motion
Genetic Algorithms (GAs)
www.cs.cmu.edu3 = 1110110101 f (s 3) = 7 s 4 = 0100010011 f (s 4) = 4 s 5 = 1110111101 f (s 5) = 8 s 6 = 0100110000 f (s 6 ... The Traveling Salesman Problem: Find a tour of a given set of cities so that ... keyboard configuration, communication networks Game playing Poker, checkers Security Encryption and Decryption Robotics Trajectory planning