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Related papers: A note on power allocation for optimal capacity

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The continuous nonlinear resource allocation problem (CONRAP) has broad applications in economics, engineering, production and inventory management, and often serves as a subproblem in complex programming. Without relying on monotonicity…

Optimization and Control · Mathematics 2025-01-10 Kaixiang Hu , Caixia Kou , Jianhua Yuan

Optimization of frame structures is formulated as a~non-convex optimization problem, which is currently solved to local optimality. In this contribution, we investigate four optimization approaches: (i) general non-linear optimization, (ii)…

Optimization and Control · Mathematics 2019-09-17 Marek Tyburec , Jan Zeman , Martin Kružík , Didier Henrion

The most important ingredient for solving mixed-integer nonlinear programs (MINLPs) to global epsilon-optimality with spatial branch and bound is a tight, computationally tractable relaxation. Due to both theoretical and practical…

Optimization and Control · Mathematics 2019-12-03 Benjamin Müller , Gonzalo Muñoz , Maxime Gasse , Ambros Gleixner , Andrea Lodi , Felipe Serrano

In this paper, we study power-efficient resource allocation for multicarrier non-orthogonal multiple access (MC-NOMA) systems. The resource allocation algorithm design is formulated as a non-convex optimization problem which jointly designs…

Information Theory · Computer Science 2017-05-18 Zhiqiang Wei , Derrick Wing Kwan Ng , Jinhong Yuan , Hui-Ming Wang

While previous work on energy-efficient algorithms focused on assumption that tasks can be assigned to any processor, we initially study the problem of task scheduling on restricted parallel processors. The objective is to minimize the…

Data Structures and Algorithms · Computer Science 2013-09-17 Xibo Jin , Fa Zhang , Ying Song , Liya Fan , Zhiyong Liu

Weight optimization of frame structures with continuous cross-section parametrization is a challenging non-convex problem that has traditionally been solved by local optimization techniques. Here, we exploit its inherent semi-algebraic…

Optimization and Control · Mathematics 2025-01-29 Marek Tyburec , Michal Kočvara , Martin Kružík

In this paper, we investigate joint resource allocation and power control mechanisms for two-cell networks, where each cell has some sub-channels which should be allocated to some users. The main goal persuaded in the current work is…

Information Theory · Computer Science 2018-05-08 Ata Khalili , Soroush Akhlaghi , Meysam Mirzaee

In this paper, "chance optimization" problems are introduced, where one aims at maximizing the probability of a set defined by polynomial inequalities. These problems are, in general, nonconvex and computationally hard. With the objective…

Optimization and Control · Mathematics 2015-05-12 Ashkan Jasour , Necdet Serhat Aybat , Constantino Lagoa

Linear programming (polynomial) techniques are used to obtain lower and upper bounds for the potential energy of spherical designs. This approach gives unified bounds that are valid for a large class of potential functions. Our lower bounds…

Metric Geometry · Mathematics 2015-09-28 P. G. Boyvalenkov , P. D. Dragnev , D. P. Hardin , E. B. Saff , M. M. Stoyanova

In this paper we consider resource allocation problem stated as a convex minimization problem with linear constraints. To solve this problem, we use gradient and accelerated gradient descent applied to the dual problem and prove the…

Optimization and Control · Mathematics 2019-10-01 Anastasiya Ivanova , Pavel Dvurechensky , Alexander Gasnikov , Dmitry Kamzolov

The optimal allocation of time and energy resources is characterized in a Wireless Powered Communication Network (WPCN) with non-Orthogonal Multiple Access (NOMA). We consider two different formulations; in the first one (max-sum), the…

Optimization and Control · Mathematics 2018-08-02 Mariam M. N. Aboelwafa , Mohamed A. Abd-Elmagid , Alessandro Biason , Karim G. Seddik , Tamer ElBatt , Michele Zorzi

The classical optimal power flow problem optimizes the power flow in a power network considering the associated flow and operating constraints. In this paper, we investigate optimal power flow in the context of utility-maximizing demand…

Data Structures and Algorithms · Computer Science 2018-03-22 Majid Khonji , Chi-Kin Chau , Khaled Elbassioni

Topology optimization of frame structures under free-vibration eigenvalue constraints constitutes a challenging nonconvex polynomial optimization problem with disconnected feasible sets. In this article, we first formulate it as a…

Optimization and Control · Mathematics 2025-09-08 Marek Tyburec , Michal Kočvara , Marouan Handa , Jan Zeman

In edge intelligence systems, deep neural network (DNN) partitioning and data offloading can provide real-time task inference for resource-constrained mobile devices. However, the inference time of DNNs is typically uncertain and cannot be…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-24 Zhaojun Nan , Yunchu Han , Sheng Zhou , Zhisheng Niu

Electricity market operators worldwide use mixed-integer linear programming to solve the allocation problem in wholesale electricity markets. Prices are typically determined based on the duals of relaxed versions of this optimization…

Computer Science and Game Theory · Computer Science 2023-12-13 Mete Şeref Ahunbay , Martin Bichler , Teodora Dobos , Johannes Knörr

In order to accommodate the increasing amounts of renewable generation in power distribution systems, system operators are facing the problem of how to upgrade transmission capacities. Since line and transformer upgrades are costly,…

Optimization and Control · Mathematics 2018-09-18 Sandro Merkli , Alexander Domahidi , Juan Jerez , Roy S. Smith

In this paper, we investigate the resource allocation algorithm design for multicarrier non-orthogonal multiple access (MC-NOMA) systems. The proposed algorithm is obtained from the solution of a non-convex optimization problem for the…

Information Theory · Computer Science 2016-03-29 Yan Sun , Derrick Wing Kwan Ng , Zhiguo Ding , Robert Schober

This document introduces a strategy to solve linear optimization problems. The strategy is based on the bounding condition each constraint produces on each one of the problem's dimension. The solution of a linear optimization problem is…

Optimization and Control · Mathematics 2018-09-24 Gerardo L. Febres

This letter proposes an energy efficient distributed worst case robust power allocation in massive multiple input multiple output (MIMO) system. We assume a bounded channel state information (CSI) error and all channels lie in some bounded…

Signal Processing · Electrical Eng. & Systems 2019-01-04 Saeed Sadeghi Vilni

In this paper, we consider a full duplex wireless powered communication network where multiple users with RF energy harvesting capabilities communicate to a hybrid energy and information access point. An optimization framework is proposed…

Information Theory · Computer Science 2019-10-30 Muhammad Shahid Iqbal , Yalcin Sadi , Sinem Coleri
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