[HTML][HTML] (Global) optimization: historical notes and recent developments

M Locatelli, F Schoen - EURO Journal on Computational Optimization, 2021 - Elsevier
Abstract Recent developments in (Global) Optimization are surveyed in this paper. We
collected and commented quite a large number of recent references which, in our opinion …

Two-stage robust unit commitment with the cascade hydropower stations retrofitted with pump stations

C Ju, T Ding, W Jia, C Mu, H Zhang, Y Sun - Applied Energy, 2023 - Elsevier
Cascade hydropower stations are excellent flexible resources to regulate the drastic
fluctuations of wind and photovoltaic power generation in the hybrid energy system. By …

Optimal PMU-communication link placement for smart grid wide-area measurement systems

X Zhu, MHF Wen, VOK Li… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Due to the relatively high costs of phasor measurement units (PMUs), the optimal PMU
placement problem of minimizing the number of PMUs for full system observability has long …

Heterogeneity aware urban traffic control in a connected vehicle environment: A joint framework for congestion pricing and perimeter control

K Yang, M Menendez, N Zheng - Transportation Research Part C …, 2019 - Elsevier
Real-time control of large-scale urban networks has been attracting significant research
attention. This paper, using the information provided by connected vehicles, proposes a …

Strong formulations for quadratic optimization with M-matrices and indicator variables

A Atamtürk, A Gómez - Mathematical Programming, 2018 - Springer
We study quadratic optimization with indicator variables and an M-matrix, ie, a PSD matrix
with non-positive off-diagonal entries, which arises directly in image segmentation and …

Privacy-Preserving Operational Decision-Making for Networked Autonomous Microgrids Based on Bilevel Mixed-Integer Optimization

X Han, Z Li, Z Li, Y Zhao, M Ban - IEEE Transactions on Smart …, 2023 - ieeexplore.ieee.org
This paper presents a privacy-preserving operational decision-making approach for
autonomous microgrids networked via a power distribution system, where the distribution …

-Convexifications for convex quadratic optimization with indicator variables

S Han, A Gómez, A Atamtürk - Mathematical Programming, 2023 - Springer
In this paper, we study the convex quadratic optimization problem with indicator variables.
For the 2× 2 case, we describe the convex hull of the epigraph in the original space of …

On decomposability of multilinear sets

A Del Pia, A Khajavirad - Mathematical Programming, 2018 - Springer
We consider the Multilinear set SS defined as the set of binary points (x, y) satisfying a
collection of multilinear equations of the form y_I= ∏ _ i ∈ I x_i y I=∏ i∈ I xi, I ∈ II∈ I, where …

New SOCP relaxation and branching rule for bipartite bilinear programs

SS Dey, A Santana, Y Wang - Optimization and Engineering, 2019 - Springer
A bipartite bilinear program (BBP) is a quadratically constrained quadratic optimization
problem where the variables can be partitioned into two sets such that fixing the variables in …

Extended formulations for convex hulls of some bilinear functions

A Gupte, T Kalinowski, F Rigterink, H Waterer - Discrete Optimization, 2020 - Elsevier
We consider the problem of characterizing the convex hull of the graph of a bilinear function
f on the n-dimensional unit cube [0, 1] n. Extended formulations for this convex hull are …