We investigate the augmented Lagrangian dual (ALD) for mixed integer linear programming
(MIP) problems. ALD modifies the classical Lagrangian dual by appending a nonlinear …

We develop a unified theory of augmented Lagrangians for nonconvex optimization
problems that encompasses both duality theory and convergence analysis of primal-dual …

This article briefly discusses about classical economic production quantity (EPQ) model
using game theoretic approach via Lagrange multiplier. It involves two stages of …

In this article we analyse a nonlinear separation scheme in the image space associated with
an infinite-dimensional cone constrained extremum problem, and, in particular, we consider …

Mixed integer quadratic programming (MIQP) is the problem of minimizing a quadratic
function over mixed integer points in a rational polyhedron. This paper focuses on the …

We propose a new duality scheme based on a sequence of smooth minorants of the
weighted-ℓ 1 penalty function, interpreted as a parametrized sequence of augmented …

In this article, we present new general results on existence of augmented Lagrange
multipliers. We define a penalty function associated with an augmented Lagrangian, and …

In this article we present a general theory of augmented Lagrangian functions for cone
constrained optimization problems that allows one to study almost all known augmented …

In this paper, a unified framework of a nonlinear augmented Lagrangian dual problem is
investigated for the primal problem of minimizing an extended real-valued function by virtue …

In this paper, by using an augmented Lagrangian approach, we obtain several sufficient
conditions for the existence of augmented Lagrange multipliers of a cone constrained …