The open access article New Generalized Derivatives for Solving Variational Inequalities Using the Nonsmooth Newton Methods, by Yingkai Song and Paul Barton, can be accessed here. Abstract: Variational inequality (VI) generalizes many mathematical programming problems and has a wide variety of applications. One class of VI solution methods is to reformulate a VI into a…

The article Level sets of nonsmooth functions, Part 2: Lipschitz and piecewise-differentiable manifolds (click here for free access until November 26, 2024) introduces piecewise-differentiable (PCr) manifolds according to a unified general framework that also applies to nonsmooth Lipschitz manifolds and smooth manifolds. We present definitions of nonsmooth manifolds and embedded submanifolds for abstract sets as…

The article Evaluating economic feasibility of liquid air energy storage systems in US and European markets (click here for free access until July 2, 2024) presents a general mixed-integer linear programming framework for evaluating the long-term economic performance of liquid air energy storage systems in various US and European electricity markets. Liquid air energy storage is…

The article Level sets of nonsmooth functions, Part 1: Lipschitz and piecewise-differentiable Rank Theorems (click here for free access until May 1, 2024) presents a piecewise-differentiable (PC)r Rank Theorem and extends a previously stated Lipschitz Rank Theorem, with the goal of characterizing the level sets of nonsmooth functions f. When the appropriate conditions are satisfied by the generalized…

The new article Tighter Bounds on Transient Moments of Stochastic Chemical Systems, by Flemming Holtorf and Paul Barton, can be freely accessed here.  Abstract: The use of approximate solution techniques for the Chemical Master Equation is a common practice for the analysis of stochastic chemical systems. Despite their widespread use, however, many such techniques rely on unverifiable…

The new open access article Optimization under uncertainty of a hybrid waste tire and natural gas feedstock flexible polygeneration system using a decomposition algorithm can be downloaded here.   Abstract: Market uncertainties motivate the development of flexible polygeneration systems that are able to adjust operating conditions to favor production of the most profitable product portfolio. However, this operational…

Dr. Joseph Scott, associate professor of Chemical and Biomolecular Engineering at Georgia Tech, has been awarded the 2022 CAST Outstanding Young Researcher Award.  The award recognizes an individual under the age of 40 for outstanding contributions to the chemical engineering computing and systems technology literature; click here for more details.

The article Global optimization of a hybrid waste tire and natural gas feedstock polygeneration system (click here for free access until May 20) presents the globally optimal design and operation of a process that converts hybrid waste tire and natural gas feedstock to multiple products as part of a polygeneration scheme. A three-step methodology is followed:…

Prof. Paul I. Barton has been awarded the 2021 Constantin Caratheodory Prize in Global Optimization, together with Prof. Hoai An Le Thi from the University of Lorraine, France. The prize is awarded bi-annually to an individual (or a group) in recognition of fundamental contributions to theory, algorithms, and applications of global optimization. The selection criteria include scientific…

Suzane Cavalcanti, a current Ph.D. student at PSEL, has been selected to receive an AY21-22 MathWorks Engineering Fellowship. The MathWorks Engineering Fellowship Fund was established by MathWorks, Inc. in 2019 and provides graduate student support to students that are active users of MathWorks software in the School of Engineering.