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The augmented Lagrangian method can be used for solving recourse problems and obtaining their normal solution in solving two-stage stochastic linear programming problems.
Saeed Ketabchi, Malihe Behboodi-Kahoo
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In the article we present a general theory of augmented Lagrangian functions for cone constrained optimization problems that allows one to study almost all known augmented Lagrangians for cone constrained programs within a unified framework. We develop a
Dolgopolik, M. V.
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A cross-layer network optimization problem is considered. It involves network and transport layers, treating both routing and flows as decision variables.
Andrzej Karbowski
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A Modified Augmented Lagrange Multiplier Method for Non-Linear Programming [PDF]
In this paper, we have investigated a new algorithm which employs an Augmented Lagrangian Method (ALM). It overcomes many of the difficulties associated with the Penalty function method. The new incorporate algorithm has been proved very effective with
Abbas Al-Bayati, Eman Hamed
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We study distributed optimization in networked systems, where nodes cooperate to find the optimal quantity of common interest, x=x^\star. The objective function of the corresponding optimization problem is the sum of private (known only by a node ...
Jakovetic, Dusan +2 more
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A local saddle point for the hyperbolic augmented Lagrangian function
In this paper, we study the hyperbolic augmented Lagrangian function, which is based on the hyperbolic penalty function. We ensure the existence of a local saddle point for the hyperbolic augmented Lagrangian function in nonconvex constrained ...
Lennin Mallma Ramirez +3 more
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Using a Factored Dual in Augmented Lagrangian Methods for Semidefinite Programming
In the context of augmented Lagrangian approaches for solving semidefinite programming problems, we investigate the possibility of eliminating the positive semidefinite constraint on the dual matrix by employing a factorization. Hints on how to deal with
De Santis, Marianna +2 more
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Distributed Optimization of Multi-Beam Directional Communication Networks
We formulate an optimization problem for maximizing the data rate of a common message transmitted from nodes within an airborne network broadcast to a central station receiver while maintaining a set of intra-network rate demands.
Tsiligkaridis, Theodoros
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Reconfigurable Acoustofluidic Microvortices for Selective Microcargo Delivery
This work introduces a frequency‐encoded, reconfigurable acoustofluidic system that overcomes the low throughput and poor selectivity of conventional micro‐delivery methods. By exploiting discrete microbubble resonances to program adaptive microvortex modes, the platform enables real‐time switching and selective guidance of microscale payloads through ...
Lei Wang +6 more
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A constraint qualification for the dislocation hyperbolic augmented Lagrangian algorithm
In this paper, we study an augmented Lagrangian-type algorithm called the Dislocation Hyperbolic Augmented Lagrangian Algorithm (DHALA), which solves an inequality nonconvex optimization problem.
Lennin Mallma Ramirez +3 more
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