Lorenz T. Biegler

Bio: Lorenz T. Biegler is an academic researcher from Carnegie Mellon University. The author has contributed to research in topics: Nonlinear programming & Optimization problem. The author has an hindex of 81, co-authored 551 publications receiving 30560 citations. Previous affiliations of Lorenz T. Biegler include United States Department of Energy & Pontifical Catholic University of Chile.

On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming

Abstract: 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. Here we provide a comprehensive description of the algorithm, including the feasibility restoration phase for the filter method, second-order corrections, and inertia correction of the KKT matrix. Heuristics are also considered that allow faster performance. This method has been implemented in the IPOPT code, which we demonstrate in a detailed numerical study based on 954 problems from the CUTEr test set. An evaluation is made of several line-search options, and a comparison is provided with two state-of-the-art interior-point codes for nonlinear programming.

Systematic Methods of Chemical Process Design

Abstract: 1. Introduction to Process Design. I. PRELIMINARY ANALYSIS AND EVALUATION OF PROCESSES. 2. Overview of Flowsheet Synthesis. 3. Mass and Energy Balances. 4. Equipment Sizing and Costing. 5. Economic Evaluation. 6. Design and Scheduling of Batch Processes. II. ANALYSIS WITH RIGOROUS PROCESS MODELS. 7. Unit Equation Models. 8. General Concepts of Simulation for Process Design. 9. Process Flowsheet Optimization. III. BASIC CONCEPTS IN PROCESS SYNTHESIS. 10. Heat and Power Integration. 11. Ideal Distillation Systems. 12. Heat Integrated Distillation Processes. 13. Geometric Techniques for the Synthesis of Reactor Networks. 14. Separating Azeotropic Mixtures. IV. OPTIMIZATION APPROACHES TO PROCESS SYNTHESIS AND DESIGN. 15. Basic Concepts for Algorithmic Methods. 16. Synthesis of Heat Exchanger Networks. 17. Synthesis of Distillation Sequences. 18. Simultaneous Optimization and Heat Integration. 19. Optimization Techniques for Reactor Network Synthesis. 20. Structural Optimization of Process Flowsheets. 21. Process Flexibility. 22. Optimal Design and Scheduling for Multiproduct Batch Plants. References. Exercises. Appendix A.: Summary of Optimization Theory and Methods. Appendix B.: Smooth Approximations for max { 0, f(x)}. Appendix C.: Computer Tools for Preliminary Process Design. Author Index. Subject Index.

Nonlinear programming : concepts, algorithms, and applications to chemical processes

Abstract: This book addresses modern nonlinear programming (NLP) concepts and algorithms, especially as they apply to challenging applications in chemical process engineering. The author provides a firm grounding in fundamental NLP properties and algorithms, and relates them to real-world problem classes in process optimization, thus making the material understandable and useful to chemical engineers and experts in mathematical optimization. Nonlinear Programming: Concepts, Algorithms, and Applications to Chemical Processes shows readers which NLP methods are best suited for specific applications, how large-scale problems should be formulated and what features of these problems should be emphasized, and how existing NLP methods can be extended to exploit specific structures of large-scale optimization models. Audience: The book is intended for chemical engineers interested in using NLP algorithms for specific applications, experts in mathematical optimization who want to understand process engineering problems and develop better approaches to solving them, and researchers from both fields interested in developing better methods and problem formulations for challenging engineering problems. Contents: Preface; Chapter 1: Introduction to Process Optimization; Chapter 2: Concepts of Unconstrained Optimization; Chapter 3: Newton-Type Methods for Unconstrained Optimization; Chapter 4: Concepts of Constrained Optimization; Chapter 5: Newton Methods for Equality Constrained Optimization; Chapter 6: Numerical Algorithms for Constrained Optimization; Chapter 7: Steady State Process Optimization; Chapter 8: Introduction to Dynamic Process Optimization; Chapter 9: Dynamic Optimization Methods with Embedded DAE Solvers; Chapter 10: Simultaneous Methods for Dynamic Optimization; Chapter 11: Process Optimization with Complementarity Constraints; Bibliography; Index

Fast parallel algorithms for short-range molecular dynamics

Abstract: Three parallel algorithms for classical molecular dynamics are presented. The first assigns each processor a fixed subset of atoms; the second assigns each a fixed subset of inter-atomic forces to compute; the third assigns each a fixed spatial region. The algorithms are suitable for molecular dynamics models which can be difficult to parallelize efficiently—those with short-range forces where the neighbors of each atom change rapidly. They can be implemented on any distributed-memory parallel machine which allows for message-passing of data between independently executing processors. The algorithms are tested on a standard Lennard-Jones benchmark problem for system sizes ranging from 500 to 100,000,000 atoms on several parallel supercomputers--the nCUBE 2, Intel iPSC/860 and Paragon, and Cray T3D. Comparing the results to the fastest reported vectorized Cray Y-MP and C90 algorithm shows that the current generation of parallel machines is competitive with conventional vector supercomputers even for small problems. For large problems, the spatial algorithm achieves parallel efficiencies of 90% and a 1840-node Intel Paragon performs up to 165 faster than a single Cray C9O processor. Trade-offs between the three algorithms and guidelines for adapting them to more complex molecular dynamics simulations are also discussed.

Numerical Optimization

Abstract: Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. For this new edition the book has been thoroughly updated throughout. There are new chapters on nonlinear interior methods and derivative-free methods for optimization, both of which are used widely in practice and the focus of much current research. Because of the emphasis on practical methods, as well as the extensive illustrations and exercises, the book is accessible to a wide audience. It can be used as a graduate text in engineering, operations research, mathematics, computer science, and business. It also serves as a handbook for researchers and practitioners in the field. The authors have strived to produce a text that is pleasant to read, informative, and rigorous - one that reveals both the beautiful nature of the discipline and its practical side.

Phd by thesis

Abstract: Deposits of clastic carbonate-dominated (calciclastic) sedimentary slope systems in the rock record have been identified mostly as linearly-consistent carbonate apron deposits, even though most ancient clastic carbonate slope deposits fit the submarine fan systems better. Calciclastic submarine fans are consequently rarely described and are poorly understood. Subsequently, very little is known especially in mud-dominated calciclastic submarine fan systems. Presented in this study are a sedimentological core and petrographic characterisation of samples from eleven boreholes from the Lower Carboniferous of Bowland Basin (Northwest England) that reveals a >250 m thick calciturbidite complex deposited in a calciclastic submarine fan setting. Seven facies are recognised from core and thin section characterisation and are grouped into three carbonate turbidite sequences. They include: 1) Calciturbidites, comprising mostly of highto low-density, wavy-laminated bioclast-rich facies; 2) low-density densite mudstones which are characterised by planar laminated and unlaminated muddominated facies; and 3) Calcidebrites which are muddy or hyper-concentrated debrisflow deposits occurring as poorly-sorted, chaotic, mud-supported floatstones. These