Title | Large Scale Optimization [electronic resource] : State of the Art / edited by W. W. Hager, D. W. Hearn, P. M. Pardalos |
---|---|

Imprint | Boston, MA : Springer US, 1994 |

Connect to | http://dx.doi.org/10.1007/978-1-4613-3632-7 |

Descript | XIV, 456 p. online resource |

SUMMARY

On February 15-17, 1993, a conference on Large Scale Optimization, hosted by the Center for Applied Optimization, was held at the University of Florida. The conยญ ference was supported by the National Science Foundation, the U. S. Army Research Office, and the University of Florida, with endorsements from SIAM, MPS, ORSA and IMACS. Forty one invited speakers presented papers on mathematical programยญ ming and optimal control topics with an emphasis on algorithm development, real world applications and numerical results. Participants from Canada, Japan, Sweden, The Netherlands, Germany, Belgium, Greece, and Denmark gave the meeting an important international component. Atยญ tendees also included representatives from IBM, American Airlines, US Air, United Parcel Serice, AT & T Bell Labs, Thinking Machines, Army High Performance Comยญ puting Research Center, and Argonne National Laboratory. In addition, the NSF sponsored attendance of thirteen graduate students from universities in the United States and abroad. Accurate modeling of scientific problems often leads to the formulation of largeยญ scale optimization problems involving thousands of continuous and/or discrete variยญ ables. Large scale optimization has seen a dramatic increase in activities in the past decade. This has been a natural consequence of new algorithmic developments and of the increased power of computers. For example, decomposition ideas proposed by G. Dantzig and P. Wolfe in the 1960's, are now implement able in distributed processยญ ing systems, and today many optimization codes have been implemented on parallel machines

CONTENT

Restarting Strategies for the DQA Algorithm -- Mathematical Equivalence of the Auction Algorithm for Assignment and the ?-Relaxation (Preflow-Push) Method for Min Cost Flow -- Preliminary Computational Experience with Modified Log-Barrier Functions for Large-Scale Nonlinear Programming -- A New Stochastic/Perturbation Method for Large-Scale Global Optimization and its Application to Water Cluster Problems -- Improving the Decomposition of Partially Separable Functions in the Context of Large-Scale Optimization: a First Approach -- Gradient-Related Constrained Minimization Algorithms in Function Spaces: Convergence Properties and Computational Implications -- Some Reformulations and Applications of the Alternating Direction Method of Multipliers -- Experience with a Primal Presolve Algorithm -- A Trust Region Method for Constrained Nonsmooth Equations -- On the Complexity of a Column Generation Algorithm for Convex or Quasiconvex Feasibility Problems -- Identification of the Support of Nonsmoothness -- On Very Large Scale Assignment Problems -- Numerical Solution of Parabolic State Constrained Control Problems using SQP- and Interior-Point-Methods -- A Global Optimization Method For Weberโ{128}{153}s Problem With Attraction and Repulsion -- Large-Scale Diversity Minimization via Parallel Genetic Algorithms -- A Numerical Comparison of Barrier and Modified Barrier Methods for Large-Scale Bound-Constrained Optimization -- A Numerical Study of Some Data Association Problems Arising in Multitarget Tracking -- Identifying the Optimal Face of a Network Linear Program with a Globally Convergent Interior Point Method -- Solution of Large Scale Stochastic Programs with Stochastic Decomposition Algorithms -- A Simple, Quadratically Convergent Interior Point Algorithm for Linear Programming and Convex Quadratic Programming -- On Two Algorithms for Nonconvex Nonsmooth Optimization Problems in Structural Mechanics

Mathematics
Functions of real variables
Computer mathematics
Mathematical models
Geometry
Mathematics
Real Functions
Mathematical Modeling and Industrial Mathematics
Geometry
Computational Mathematics and Numerical Analysis