Yoshiaki Kawajiri, Lorenz T. Biegler
Large Scale optimization strategies for zone configuration of simulated moving beds
Large-Scale Nonlinear Programming for Multi-scenario Optimization (2008)
Carl D. Laird, Lorenz T. Biegler
Multi-scenario optimization is a convenient way to formulate design optimization problems that are tolerant to disturbances and model uncertainties and/or need to operate under a variety of different...
APPLICATION OF OPTIMIZATION ALGORITHMS TO NONLINEAR MPC (2008)
Frode Martinsen, Lorenz T. Biegler, Bjarne A. Foss
Abstract: This paper investigates application of SQP optimization algorithms to nonlinear model predictive control. It considers feasible vs. infeasible path methods, sequential vs. simultaneous...
Carl Laird Lorenz, Carl D. Laird, Lorenz T. Biegler
Introduction Presidential Decision Directive 63 identified water systems as one of the critical infrastructures to the United States. Following this directive and the passing of The Public Health,...
Ignacio E. Grossmann, Lorenz T. Biegler
Following from Part I, which presents a retrospective on optimization, we focus here on areas that are recent active research topics and are likely to strongly influence the future of optimization...
25 th Year Issue on Computers and Chemical Engineering Retrospective on Optimization (2007)
Lorenz T. Biegler, Ignacio E. Grossmann
In this paper we provide a general classification of mathematical optimization problems, followed by a matrix of applications that shows the areas in which these problems have been typically applied...
ON-LINE IMPLEMENTATION OF NONLINEAR MPC: AN EXPERIMENTAL CASE STUDY (2007)
Lino O. Santos, Lorenz T. Biegler
Abstract: A nonlinear model predictive control algorithm is implemented on-line to control the liquid level and temperature in a pilot plant CSTR, where an irreversible exothermic chemical reaction...
Araya, M. Macarena, Arrieta, Juan J., Pérez-Correa, J. Ricardo, Biegler, Lorenz T., Jorquera, Héctor
Calibration of mechanistic kinetic models describing microorganism growth and secondary metabolite production on solid substrates is difficult due to model complexity given the sheer number of...
Roscoe A. Bartlett, R. A. Bartlett, Lorenz T. Biegler
We describe an active-set, dual-feasible Schur-complement method for quadratic programming (QP) with positive definite Hessians. The formulation of the QP being solved is general and flexible, and is...
Andreas Wächter, Lorenz T. Biegler
We present a primal-dual interior-point algorithm with a filter line-search method for nonlinear programming. Local and global convergence properties of this method were analyzed in previous work....
Pierre Bonami, Lorenz T. Biegler, Andrew R. Conn, Gérard Cornuéjols, Ignacio E. Grossmann, Carl D. Laird, ...
algorithmic framework for convex mixed integer
Advances in simultaneous strategies for dynamic process optimization (2002)
Lorenz T. Biegler, Arturo M. Cervantes
Following on the popularity of dynamic simulation for process systems, dynamic optimization has been identied as an important task for key process applications. In this study,we present an improved...
A reduced space interior point strategy for optimization of differential algebraic systems (2000)
Arturo M. Cervantes, Andreas Wachter, Reha H. Tutuncu, Lorenz T. Biegler
A novel nonlinear programming (NLP) strategy is developed and applied to the optimization of differential algebraic equation (DAE) systems. Such problems, also referred to as dynamic optimization...
Failure of Global Convergence for a Class of Interior Point Methods for Nonlinear Programming (2000)
Andreas Wächter, Lorenz T. Biegler
Using a simple analytical example, we demonstrate that a class of interior point methods for general nonlinear programming, including some current methods, is not globally convergent. It is shown...
Multiperiod design and planning with interior point methods (1999)
Tarun K. Bhatia, Lorenz T. Biegler
This work develops an e cient decomposition algorithm for solving multiperiod design prob-lems (MPD) using interior point (IP) methods within a reduced Hessian Successive Quadratic Programming (rSQP)...
Systematic Methods of Chemical Process Design (1997)
Biegler, Lorenz T., Grossmann, Ignacio E., Westerberg, Arthur W.
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Numerical Experience With A Reduced Hessian Method For Large Scale Constrained Optimization (1997)
Lorenz T. Biegler, Lorenz T. Biegler, Jorge Nocedal, Jorge Nocedal, Claudia Schmid, Claudia Schmid, ...
The reduced Hessian SQP algorithm presented in [2] is developed in this paper into a practical method for large-scale optimization. The novelty of the algorithm lies in the incorporation of a...
A reduced Hessian method for large-scale constrained optimization (1995)
Lorenz T. Biegler, Jorge Nocedal, Claudia Schmid, Lorenz T. Biegler, Jorge Nocedal, Claudia Schmid
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A reduced hessian method for large--scale constrained optimization (1995)
Claudia Schmid, Lorenz T. Biegler, Lorenz T. Biegler, Jorge Nocedal, Jorge Nocedal, Preprint Mcs-p
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A Reduced Hessian Method for Large-Scale Constrained Optimization (1995)
Lorenz T. Biegler, Lorenz T. Biegler, Jorge Nocedal, Jorge Nocedal, Claudia Schmid, Claudia Schmid, ...
We propose a quasi-Newton algorithm for solving large optimization problems with nonlinear equality constraints. It is designed for problems with few degrees of freedom and is motivated by the need...
Numerical experience with a reduced Hessian method for large-scale constrained optimization (1993)
Lorenz T. Biegler, Jorge Nocedal, Claudia Schmid, David Ternet, Lorenz T. Biegler, Jorge Nocedal, ...
The reduced Hessian SQP algorithm presented in [2] is developed in this paper into a practical method for large-scale optimization. The novelty of the algorithm lies in the incorporation of a...