This paper is devoted to bilevel optimization, a branch of mathematical programming of both
practical and theoretical interest. Starting with a simple example, we proceed towards a …

This paper provides an introductory survey of a class of optimization problems known as
bilevel programming. We motivate this class through a simple application, and then proceed …

The first systematic overviews on global optimization appeared in 1975–1978 thanks to two
fundamental volumes titled Towards Global Optimization (Dixon & Szegö, 1975, 1978). At …

We consider the approximation of nonlinear bilevel mathematical programs by solvable
programs of the same type, ie, bilevel programs involving linear approximations of the upper …

The road congestion pricing policy is implemented to alleviate traffic congestion and
improve the efficiency of the transportation system during peak hours. However, the negative …

A hybrid differential evolution method was proposed for the general (nonlinear) bilevel
programming (GBP) with linear constraint functions by combining the differential evolution …

We present a penalty method with trust-region technique for nonlinear bilevel optimization
problem in this paper. This method follows Dennis, El-Alem, and Williamson active set idea …

The traditional practice of value-driven engineering and systems design is mainly based on
net present values (NPVs). It is essentially enacted as a budgetary technique that neglects …

The current paper presents a neural network-based hybrid strategy that combines a Genetic
Algorithm (GA) and a Dual Recurrent Neural Network (DRNN) for efficiently and accurately …

Solving linear-quadratic bi-level programming and linear-fractional bi-level programming
problems using genetic algorithm Page 1 …