'Traveling salesman' diaporamas de présentation

Easy, Hard, and Impossible

Easy, Hard, and Impossible. Easy. Tic Tac Toe. Hard. Chess. Recall the Approach - Search. Searching for the Best Move. A B C D E F G H I J K L M

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Design and Analysis of Approximation Algorithms

Design and Analysis of Approximation Algorithms. Ding-Zhu Du. Text Books. Ding-Zhu Du and Ker-I Ko, Design and Analysis of Approximation Algorithms (Lecture Notes). Chapters 1-8. Schedule. Introduction Greedy Strategy Restriction Partition Guillotine Cut Relaxation

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Polynomial-time approximation schemes for geometric NP-hard problems

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Topics in Algorithms

Topics in Algorithms. Introduction to Computational Complexity Theory. Quiz. A set S of strings is given as below. Find the shortest strings s (called superstring ) of S that contains every element of S as a substring. This quiz mimics DNA sequencing. (example). [Quiz].

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Euclidean Vehicle Routing with Allocation

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Polynomial-time approximation schemes for NP-hard geometric problems

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ECE 669 Parallel Computer Architecture Lecture 10 Graph Applications

ECE 669 Parallel Computer Architecture Lecture 10 Graph Applications. Outline. Many applications can be modeled as graphs Graphs require determination of shortest paths, adjacency, and other values Efficient parallel algorithms exist which break up the search Used to model many applications

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Simulated Annealing

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Shortest Paths

Shortest Paths. Text Discrete Mathematics and Its Applications (5 th Edition) Kenneth H. Rosen Chapter 9.6 Based on slides from Chuck Allison, Michael T. Goodrich, and Roberto Tamassia By Longin Jan Latecki. BOS. NY. CHI. SF. DEN. ATL. LA. MIA. Weighted Graphs.

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Longin Jan Latecki Temple University latecki@temple

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Backtracking

Backtracking. General Concepts. Algorithm strategy Approach to solving a problem May combine several approaches Algorithm structure Iterative ? execute action in loop Recursive ? reapply action to subproblem(s) Problem type Satisfying ? find any satisfactory solution

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CS623: Introduction to Computing with Neural Nets (lecture-13)

CS623: Introduction to Computing with Neural Nets (lecture-13). Pushpak Bhattacharyya Computer Science and Engineering Department IIT Bombay. Hopfield Net: an o(n 2 ) algorithm. Consider the energy expression. E has [n(n-1)]/2 terms Nature of each term w ij is a real number

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Part V Theory of Approximate Computation

Part V Theory of Approximate Computation. Lecture 25 Approximation for NP-hard Problems. Earlier Results on Approximations. Vertex-Cover Traveling Salesman Problem Knapsack Problem. Performance Ratio. Constant-Approximation. c-approximation is a polynomial-time approximation satisfying :

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Lecture 21 Paths and Circuits

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Applications of Genetic Algorithms

Applications of Genetic Algorithms. Amy Hoover. Actual GA Applications. Software Bug Repair http://www.genetic-programming.org/hc2009/1-Forrest/Forrest-Presentation.pdf Weapon Design in Video Games gar.eecs.ucf.edu Radar coverage. Traveling Salesman Problem.

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Roadmap of the lecture

Roadmap of the lecture. Computational complexity polynomial vs. exponential algorithms non-deterministic computing N(ondetermiistic) P(olynomial) problems Example: the Traveling Salesman Problem (TSP) Some non-TM (?) models of computing Social insects

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By: Christophe Dufour Chrishon Adams Mischael Joseph

Exploring Mars. By: Christophe Dufour Chrishon Adams Mischael Joseph. Mars probe.

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The Euclidean Travelling Salesman Problem

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Predicting Survival Time From Genomic Data

Predicting Survival Time From Genomic Data Maria D. Gonzalez Gil ( mgg28331@gmail.com ) , Mentor: Larry Hall. Conclusion The probabilistic ordering after the traveling salesman has an effect with larger numbers of examples. For example, there are at most 2 orderings for the NO.

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