Transformation and linearization techniques in optimization: A state-of-the-art survey

M Asghari, AM Fathollahi-Fard… - Mathematics, 2022 - mdpi.com
To formulate a real-world optimization problem, it is sometimes necessary to adopt a set of
non-linear terms in the mathematical formulation to capture specific operational …

Non-convex mixed-integer nonlinear programming: A survey

S Burer, AN Letchford - Surveys in Operations Research and Management …, 2012 - Elsevier
A wide range of problems arising in practical applications can be formulated as Mixed-
Integer Nonlinear Programs (MINLPs). For the case in which the objective and constraint …

A unified view of piecewise linear neural network verification

RR Bunel, I Turkaslan, P Torr, P Kohli… - Advances in Neural …, 2018 - proceedings.neurips.cc
Abstract The success of Deep Learning and its potential use in many safety-critical
applications has motivated research on formal verification of Neural Network (NN) models …

Branch and bound for piecewise linear neural network verification

R Bunel, J Lu, I Turkaslan, PHS Torr, P Kohli… - Journal of Machine …, 2020 - jmlr.org
The success of Deep Learning and its potential use in many safety-critical applications has
motivated research on formal verification of Neural Network (NN) models. In this context …

An optimal charging station location model with the consideration of electric vehicle's driving range

J He, H Yang, TQ Tang, HJ Huang - Transportation Research Part C …, 2018 - Elsevier
Reasonable charging station positions are critical to prompt the widespread use of electric
vehicles (EVs). This paper proposes a bi-level programming model with the consideration of …

[图书][B] Assignment problems: revised reprint

R Burkard, M Dell'Amico, S Martello - 2012 - SIAM
When SIAM asked us to prepare a new edition of this book after less than three years from
publication, we expected a light duty. Just the correction of some typos and imprecisions …

Optimal location of wireless charging facilities for electric vehicles: Flow-capturing location model with stochastic user equilibrium

R Riemann, DZW Wang, F Busch - Transportation Research Part C …, 2015 - Elsevier
In this study, the optimal locations of a specific type of charging facilities for electric vehicles
(EVs), wireless power transfer facilities, are investigated. A mathematical model has been …

A hierarchy of relaxations between the continuous and convex hull representations for zero-one programming problems

HD Sherali, WP Adams - SIAM Journal on Discrete Mathematics, 1990 - SIAM
In this paper a reformulation technique is presented that takes a given linear zero-one
programming problem, converts it into a zero-one polynomial programming problem, and …

A lift-and-project cutting plane algorithm for mixed 0–1 programs

E Balas, S Ceria, G Cornuéjols - Mathematical programming, 1993 - Springer
We propose a cutting plane algorithm for mixed 0–1 programs based on a family of
polyhedra which strengthen the usual LP relaxation. We show how to generate a facet of a …

Mixed integer linear programming in process scheduling: Modeling, algorithms, and applications

CA Floudas, X Lin - Annals of Operations Research, 2005 - Springer
This paper reviews the advances of mixed-integer linear programming (MILP) based
approaches for the scheduling of chemical processing systems. We focus on the short-term …