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Laird Research Group
Our expertise includes large-scale modeling, design and operations under uncertainty, parameter estimation, and inversion. Research applications include traditional chemical engineering processes, in addition to homeland security applications, infectious disease modeling and estimation, and network problems. |
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| From left to right - First row: Jia Kang, Angelica Wong, Kristen Young, Yu Zhu; Second row: Carl Laird, Jaime Tellez, James Young; Third row: Sean Legg, Daniel Word, Gabe Hackebeil |
The Pyomo book is now available!
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Pyomo - Optimization Modeling in Python (Springer Optimization and Its Applications) by William E. Hart, Carl Laird, Jean-Paul Watson and Hardcover Release Date: February 29, 2012 For more information, or to order from Springer, click here! |
Current Student Research:
| Yankai Cao Ph.D. Candidate |
Mathematical Modeling of Reconfigurable Vaccine Production Facilities |
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Today, vaccines play an important role in human lives. To address dynamic national requirements for various pharmaceuticals, there is a need for reconfigurable therapeutics manufacturing facilities that are capable of rapid product changeover. Limitations of the existing manufacturing infrastructure are made painfully clear by recurring drug shortages. This research focuses on developing a flexible modeling and nonlinear programming framework for optimizing virus-based production of therapeutics in a reconfigurable facility. |
| Jia Kang Ph.D. Candidate |
Efficient Large-Scale Parameter Estimation of Signal Transduction Pathways in Populations |
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Large-scale, nonlinear dynamic models frequently arise when describing the physics of important engineering and biological problems. In this research, we are developing new algorithms that exploit concurrent computing architectures to provide efficient parallel solution of large-scale parameter estimation problems, focusing on those with both temporal and spatial structure that can be exploited. Continued gratitude goes to the National Science Foundation Cyber-Enabled Discovery and Innovation (CDI) for their financial support. |
| Sean Legg Ph.D. Candidate |
Parameter Estimation of Dense Gas Dispersion Models |
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Because of ever rising global energy demands, there is an increase in the number of liquefied natural gas production facilities and terminals worldwide. To properly and safely design these facilities, accurate and effective modeling of vapor clouds resulting from spills is a necessity. This research will use data from LNG dispersion tests conducted by the Mary K. O'Connor Process Safety Center at Texas A&M University to perform parameter estimation in an effort to improve simplified models currently accepted for use by the EPA. Continued gratitude goes to the Mary K. O'Connor Process Safety Center for their financial support. |
| Arpan Seth Ph.D. Candidate |
Parallel Strategies for Efficient Solution of Nonlinear Programming Problems on Emerging Architectures | |
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As the size of nonlinear optimization problems continues to increase, general purpose tools, coupled with standard desktop computing hardware, are not able to provide efficient solution. Furthermore, computer chip manufacturers are no longer focusing on increasing clock speed, but rather on hyper-threading and multicore architectures. This research focuses on the development of numerical solution strategies that can efficiently utilize emerging computing architectures like the GPU. Continued gratitude goes to the National Science Foundation Faculty Early Career Development (CAREER) Award for their financial support. |
| Angelica Wong Ph.D. Candidate |
Real-time Inversion and Response Management for Drinking Water Systems |
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This research focuses on the development of real-time algorithms for performing source inversion and response planning in the event of an accidental or intentional contamination in a water distribution system. Since these systems would work in a real-time setting, these algorithms must be able to solve efficiently and effectively for very large networks when given only limited measurement information due to limiting resources. To help meet these goals we have been developing efficient water quality models that can be used in an inversion context, as well as mixed-integer linear and quadratic programming formulations for source location identification and optimal sampling. These approaches have been shown to effectively find the source and extent of contamination given a real water network model. Continued gratitude goes to Sandia National Laboratories and PUB Singapore for their financial support. |
| Daniel Word Ph.D. Candidate |
Improved Modeling and Estimation of Infectious Disease Dynamics |
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Reliable, mechanistic models for the spread of infectious disease are valuable for improving our understanding of important factors affecting disease dynamics and for helping guide public health decision making. Our work has focused on developing deterministic and stochastic discrete-time and continuous time models of childhood infectious diseases. We bring large-scale nonlinear optimization expertise to provide a framework for efficient estimation of long-term dynamic models. These estimation problems are similar to classic ill-posed inverse formulations, and effective regularization is required to obtain reliable seasonal estimates. Current research includes further refinement of model structure to improve their ability to extrapolate. Continued gratitude goes to Sandia National Laboratories, and the ASCR program in the Office of Science of the Department of Energy for their financial support. |
Former Student Research:
| Yu Zhu Ph.D. Candidate |
Development of Nonlinear Optimization Algorithms for Parallel Computing | |
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Nonlinear programming (NLP) has proven to be an effective framework for obtaining profit gains through optimal process design and operations in chemical engineering. The desire to solve larger and more complex problems drives continued improvements in NLP solvers. Due to physical hardware limitations, computer manufacturers have shifted their focus towards multi-core and other modern parallel computing architectures, and we must focus efforts on the development of parallel computing solutions for large-scale nonlinear programming. This research focused on developing a package, SCHUR-IPOPT, that uses an internal decomposition approach for the parallel solutions of large block structured nonlinear programming problems with complicating variables. SCHUR-IPOPT is based on the existing primal-dual interior-point NLP solver IPOPT. | |
| Optimal Process Design Under Uncertainty Using a Multiple Scenario Programming Method | ||
| Effective design of cryogenic air separators can improve efficiency and reduce energy consumption. However, uncertainties can make determination of the optimal design difficult. This research focuses on the development of a rigorous, highly nonlinear model of integrated air separation columns to capture the coupled nature of the process. A multi-scenario approach is used to incorporate the uncertainty, giving rise to a large-scale nonlinear programming problem. | ||
| Optimal Planning and Scheduling Under Uncertainty Using a Probabilistic Approach | ||
| Cryogenic air separation is an efficient technology for supplying large quantities of nitrogen, argon, and oxygen to chemical, petroleum, and manufacturing customers. However numerous uncertainties make effective operation of these complex processes difficult. This work focuses on determining an optimal operating strategy to maximize the total profit of a cryogenic air separation process while considering demand uncertainty and contractual obligations. |












