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-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 …
Integer Nonlinear Programs (MINLPs). For the case in which the objective and constraint …
A unified view of piecewise linear neural network verification
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 …
applications has motivated research on formal verification of Neural Network (NN) models …
Branch and bound for piecewise linear neural network verification
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 …
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
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 …
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 …
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
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 …
(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 …
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 …
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 …
approaches for the scheduling of chemical processing systems. We focus on the short-term …