Many engineering problems that involve hierarchical control applications, such as demand- side ancillary service provision to the power grid, can be posed as a robust tracking …
Optimization models in the chemical process industries often include uncertain model parameters due to uncertainties in market forces and the environment, use of reduced-order …
SM Harwood, PI Barton - Mathematical Methods of Operations Research, 2017 - Springer
This work considers the problem of design centering. Geometrically, this can be thought of as inscribing one shape in another. Theoretical approaches and reformulations from the …
An algorithm is proposed for locating an optimal solution satisfying the KKT conditions to a specified tolerance to inequality-path-constrained dynamic optimization (PCDO) problem …
X Hu, J Nie - arXiv preprint arXiv:2303.14308, 2023 - arxiv.org
This paper studies generalized semi-infinite programs (GSIPs) given by polynomials. We propose a hierarchy of polynomial optimization relaxations to solve them. They are based on …
Methods for finding pure Nash equilibria have been dominated by variational inequalities and complementarity problems. Since these approaches fundamentally rely on the …
A Aboussoror, S Adly, S Salim - Optimization, 2020 - Taylor & Francis
We present an extended conjugate duality for a generalized semi-infinite programming problem (P). The extended duality is defined in the context of the absence of convexity of …