[HTML][HTML] (Global) optimization: historical notes and recent developments
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 …
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
Cascade hydropower stations are excellent flexible resources to regulate the drastic
fluctuations of wind and photovoltaic power generation in the hybrid energy system. By …
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
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 …
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
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 …
attention. This paper, using the information provided by connected vehicles, proposes a …
Strong formulations for quadratic optimization with M-matrices and indicator variables
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 …
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
This paper presents a privacy-preserving operational decision-making approach for
autonomous microgrids networked via a power distribution system, where the distribution …
autonomous microgrids networked via a power distribution system, where the distribution …
-Convexifications for convex quadratic optimization with indicator variables
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 …
For the 2× 2 case, we describe the convex hull of the epigraph in the original space of …
On decomposability of multilinear sets
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 …
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
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 …
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
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 …
f on the n-dimensional unit cube [0, 1] n. Extended formulations for this convex hull are …