Interdependence between transportation system and power distribution system: A comprehensive review on models and applications

W Wei, WU Danman, WU Qiuwei… - Journal of Modern …, 2019 - ieeexplore.ieee.org
The rapidly increasing penetration of electric vehicles in modern metropolises has been
witnessed during the past decade, inspired by financial subsidies as well as public …

An overview on mathematical programming approaches for the deterministic unit commitment problem in hydro valleys

R Taktak, C D'Ambrosio - Energy systems, 2017 - Springer
With the fast-growing demand in the electricity market of the last decades, attention has
been focused on alternative and flexible sources of energy such as hydro valleys. Managing …

Cooperative P2P energy trading in active distribution networks: An MILP-based Nash bargaining solution

W Zhong, S Xie, K Xie, Q Yang… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This article proposes a cooperative energy market model for an active Distribution Network
(DN) by using the theory of Generalized Nash Bargaining (GNB). The proposed energy …

Mixed-integer nonlinear optimization

P Belotti, C Kirches, S Leyffer, J Linderoth, J Luedtke… - Acta Numerica, 2013 - cambridge.org
Many optimal decision problems in scientific, engineering, and public sector applications
involve both discrete decisions and nonlinear system dynamics that affect the quality of the …

Adaptive distributionally robust optimization

D Bertsimas, M Sim, M Zhang - Management Science, 2019 - pubsonline.informs.org
We develop a modular and tractable framework for solving an adaptive distributionally
robust linear optimization problem, where we minimize the worst-case expected cost over an …

Minimum loss network reconfiguration using mixed-integer convex programming

RA Jabr, R Singh, BC Pal - IEEE Transactions on Power …, 2012 - ieeexplore.ieee.org
This paper proposes a mixed-integer conic programming formulation for the minimum loss
distribution network reconfiguration problem. This formulation has two features: first, it …

[PDF][PDF] Second-order cone programming

F Alizadeh, D Goldfarb - Mathematical programming, 2003 - Citeseer
Second-order cone programming (SOCP) problems are convex optimization problems in
which a linear function is minimized over the intersection of an affine linear manifold with the …

Mixed integer linear programming formulation techniques

JP Vielma - Siam Review, 2015 - SIAM
A wide range of problems can be modeled as Mixed Integer Linear Programming (MIP)
problems using standard formulation techniques. However, in some cases the resulting MIP …

The why and how of nonnegative matrix factorization

N Gillis - … , optimization, kernels, and support vector machines, 2014 - books.google.com
Nonnegative matrix factorization (NMF) has become a widely used tool for the analysis of
high-dimensional data as it automatically extracts sparse and meaningful features from a set …

Robust linear optimization under general norms

D Bertsimas, D Pachamanova, M Sim - Operations Research Letters, 2004 - Elsevier
We explicitly characterize the robust counterpart of a linear programming problem with
uncertainty set described by an arbitrary norm. Our approach encompasses several …