The simulation-driven metaheuristic algorithms have been successful in solving numerous
problems compared to their deterministic counterparts. Despite this advantage, the …

We present an overview of novel numerical methods for chemical equilibrium and kinetic
calculations for complex non-ideal multiphase systems. The methods we present for …

Benchmarking optimization software with performance profiles Page 1 Digital Object Identifier
(DOI) 10.1007/s101070100263 Math. Program., Ser. A 91: 201–213 (2002) Elizabeth D. Dolan …

Comparing, or benchmarking, of optimization algorithms is a complicated task that involves
many subtle considerations to yield a fair and unbiased evaluation. In this paper, we …

Interior methods are an omnipresent, conspicuous feature of the constrained optimization
landscape today, but it was not always so. Primarily in the form of barrier methods, interior …

Nonlinear programming (NLP) has become an essential tool in process engineering,
leading to profit gains through improved plant designs and better control strategies. The …

Abstract Recently, Fletcher and Leyffer proposed using filter methods instead of a merit
function to control steplengths in a sequential quadratic programming algorithm. In this …

Chemical equilibrium calculations are essential for many environmental problems. It is also
a fundamental tool for chemical kinetics and reactive transport modelling, since these …

In this paper we consider the question of solving equilibrium problems—formulated as
complementarity problems and, more generally, mathematical programs with equilibrium …

In this paper, we describe how to reformulate a problem that has second-order cone and/or
semidefiniteness constraints in order to solve it using a general-purpose interior-point …