PPT-Parallel TSP with branch and bound

Presented by Akshay Patil Rose Mary George Roadmap Introduction Motivation Sequential TSP Parallel Algorithm Results References 2 Introduction What is TSP Given a list of cities and the distances . A solid cylinder has uniform magnetization . M . throughout the volume in the x direction as shown. . What's the magnitude of the total magnetic dipole moment of the cylinder?. A) . R. 2 . L . M. B) 2. Norman . Poh. Steps. Construct an ordered tree satisfying:. Traverse the tree from right to left in depth-first search pattern. Evaluate the criterion at each level and sort them. Prune the tree. w. here . Initial lower bound. J. r. p. d. 1. 0. 4. 8. 2. 1. 2. 12. 3. 3. 6. 11. 4. 5. 5. 10. Use 1 machine preemptive schedule as lower bound. Job 2 has a lateness of 5, this is a lower bound on . Lmax. J1. 4. MODELLING FOR DECISION SUPPORT. Lecture 19 . Branch and Bound Algorithm. Oct 19, 2012. 2. Solve the LP relaxation and round the answers. Normally . the rounded answers are not feasible, or are far from . 3. 4. . 8. . 7. . 12. . 10. . 9. . 10. . 3. . 6. . 10. 8. . 2. . 7. 0. 0. UPPER = . . LOWER = . 0. Branch & Bound. 3. 4. . 8. . 7. . 12. . 10. . 9. . 10. . 3. . 6. . 10. 8. Richard Peng. M.I.T.. Joint work with Dan Spielman (Yale). Efficient Parallel Solvers for SDD Linear Systems. Richard Peng. M.I.T.. Work in progress with . Dehua. Cheng (USC),. Yu Cheng (USC), . Yintat. Anjul Patney, John Owens. University of California, Davis. Offline Rendering. Looks realistic. Virtually no visible artifacts. Renders on clusters of CPUs. Slow: hours per frame. Flexible rendering pipelines. Robot. Jingjin. Yu . Javed. . Aslam. . Sertac. . Karaman. . Daniela . R. uS. . Speaker: . Sankalp. Arora. Overview. Problem Statement. Formalization. Mixed Integer Programming. MIP Formulation. Initial lower bound. J. r. p. d. 1. 0. 4. 8. 2. 1. 2. 12. 3. 3. 6. 11. 4. 5. 5. 10. Use 1 machine preemptive schedule as lower bound. Job 2 has a lateness of 5, this is a lower bound on . Lmax. J1. 4. BRANCH AND BOUND. Branch and bound. Metode Branch and Bound adalah sebuah teknik algoritma yang secara khusus mempelajari bagaimana caranya memperkecil Search Tree menjadi sekecil mungkin.. Sesuai dengan namanya, metode ini terdiri dari 2 langkah yaitu :. Content. The Branch-and-Bound (BB) method.. the framework for almost all commercial software for solving mixed integer linear programs. Cutting-plane (CP) algorithms.. Branch-and-Cut (BC). The most efficient general-purpose algorithms for solving MILPs. Richard Peng. M.I.T.. Joint work with Dan Spielman (Yale). Efficient Parallel Solvers for SDD Linear Systems. Richard Peng. M.I.T.. Work in progress with . Dehua. Cheng (USC),. Yu Cheng (USC), . Yintat. Execution Engines. Mihai Budiu, Daniel Delling, Renato Werneck. Microsoft Research - Silicon Valley. IEEE International Parallel & . Distributed Processing Symposium. IPDPS 2011. DDPEEs. Execution. Queries in . R-trees. Apostolos. Papadopoulos . and . Yannis. . Manolopoulos. Presenter: Uma . Kannan. Contents. Introduction. Spatial . data Management Research . Spatial . Access Methods . Research.