Browsing Math Prog Technical Reports by Title
Now showing items 15-34 of 101
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COMPLEMENTARITY PROBLEMS IN ENGINEERING MECHANICS: MODELS AND SOLUTION
(1999)A large class of problems in engineering mechanics involves a so-called ?complementarity? relationship representing the orthogonality of two sign-constrained vectors. Typical instances are plasticity laws and contact-like ... -
Complementarity Problems in GAMS and the PATH Solver
(1998-09-25)A fundamental mathematical problem is to find a solution to a square system of nonlinear equations. There are many methods to approach this problem, the most famous of which is Newton?s method. In this paper, we describe ... -
Complementarity Problems in GAMS and the PATH Solver
(1998-09-25)A fundamental mathematical problem is to find a solution to a square system of nonlinear equations. There are many methods to approach this problem, the most famous of which is Newton's method. In this paper, we describe ... -
Computing Wardropian Equilibria
(1998-05)This note considers alternative methods for computingWadropian (traffic network) equilibria using a multicommodity formulation in nonlinear program and complementarity formats. These methods compute exact equilibria, ... -
Crash Techniquees for Large-Scale Complementarity Problems
(1995)Most Newton-based solver for complementarity problems converge rapidly to a solution once they are close to the solution point and the correct active set has been found. We discuss the design and implementation of crash ... -
A Direct Search Algorithm for Optimization with Noisy Function Evaluations
(1996)We consider the unconstrained optimization of a function when each function evaluation is subject to a random noise.We assume that there is some control over the variance of the noise term, in the sense that additional ... -
Distributed Genetic Algorithms for Partitioning Uniform Grids
(1996)In this thesis the author presents a new method for partitioning general large uniform 5-point grids into sub-domains of given areas having minimum total perimeter. For applications in scientific computing in parallel ... -
A Dynamic-Programming Heuristic for Regular Grid-Graph Partitioning
(2000-11-15)Previous researchers have demonstrated that striping heuristics produce very good (and, in some cases, asymptotically optimal) partitions for regular grid graphs. These earlier methods differed in the domains of application ... -
An e-Relaxation Algorithm for Convex Network Flow Problems
(1995)A relaxation method for separable convex network flow problems is developed that is well-suited for problems with large variation in the magnitude of the nonlinear cost terms. The arcs are partitioned into two sets, one ... -
ENGINEERING AND ECONOMIC APPLICATIONS OF COMPLEMENTARITY PROBLEMS
(1995)This paper gives an extensive documentation of applications of finite-dimensional nonlinear complementarity problems in engineering and equilibrium modeling. For most applications, w describe the problem briefly, state the ... -
Error Bounds for Nondifferentiable Convex Inequalities under a Strong Slater Constraint Qualification
(1996-07)A global error bound is given on the distance between an arbitrary point in the n-dimensional real space R^n and its projection on a nonempty convex set determined by m convex, possibly nondifferentiable, inequalities. The ... -
Exact Penalty Functions for Mathematical Programs with Linear Complementarity Constraints
(1996)We establish a new general exact penalty function result for a constrained optimization problem and apply this result to a mathematical program with linear complementarity constraints. -
Expressing Complementarity Problems in an Algebraic Modeling Language and Communicating Them to Solvers
(1998)Diverse problems in optimization, engineering, and exonomics have natural formulations in terms of complementarity conditions, which state (in their simplest form) that either a certain non-negative variable must be zero ... -
Expressing Complementarity Problems in an Algebraic Modeling Language and Communicating Them to Solvers
(1998)Diverse problems in optimization, engineering, and economics have natural formulations in terms of complementarity conditions, which state (in their simplest form) that either a certain nonnegative variable must be zero ... -
Fast Equi-Partitioning of Rectangular Domains using Stripe Decomposition
(1996-02-05)This paper presents a fast algorithm that provides optimal or near optimal solutions to the minimum perimeter problem on a rectangular grid. The minimum perimeter problem is to partition a grid of size MxN into P equal ... -
FATCOP: A Fault Tolerant Condor-PVM Mixed Integer Programming Solver
(1999-12)We describe FATCOP, a new parallel mixed integer program solver written in PVM. The implementation uses the Condor resource management system to provide a virtual machine composed of otherwise idle computers. The solver ... -
Feasible Descent Algorithms for Mixed Complementarity Problems
(1998-11-11)In this paper we consider a general algorithmic framework for solving nonlinear mixed complementarity problems. The main features of this framework are: (a) it is well-defined for an arbitrary mixed complementarity problem, ... -
Feature Selection Via Concave Minimization and Support Vector Machines
(1998)Computational comparison is made between two feature selection approaches for finding a separating plane that discriminates between two point sets in an n-dimensional feature space that utilizes as few of the n features ... -
Feature Selection via Mathematic Programming
(1997-04)The problem of discriminating between two finite point sets in n-dimensional feature space by a separating plane that utilizes as few of the features as possible, is formulated as a mathematical program with a parametric ... -
Formulating and Solving Nonlinear Programs as Mixed Complementarity Problems
(1998)We consider a primal-dual approach to solve nonlinear programming problems within AMPL modeling language, via a mixed complementarity formulation. The modeling language supplies the first order and second order derivative ...