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This article provides an overview of the state-of-art results on communication resource allocation over space, time, and frequency for emerging cognitive radio (CR) wireless networks. Focusing on the…

Information Theory · Computer Science 2016-11-17 Rui Zhang , Ying-Chang Liang , Shuguang Cui

Evaluating solutions to optimization problems is arguably the most important step for heuristic algorithms, as it is used to guide the algorithms towards the optimal solution in the solution search space. Research has shown evaluation…

Neural and Evolutionary Computing · Computer Science 2020-10-05 Patrick Kenekayoro

We study the problem of online resource allocation, where multiple customers arrive sequentially and the seller must irrevocably allocate resources to each incoming customer while also facing a procurement cost for the total allocation.…

Optimization and Control · Mathematics 2020-12-24 Mitas Ray , Omid Sadeghi , Lillian J. Ratliff , Maryam Fazel

In a recent paper an Inexact Restoration method for solving continuous constrained optimization problems was analyzed from the point of view of worst-case functional complexity and convergence. On the other hand, the Inexact Restoration…

Optimization and Control · Mathematics 2023-09-20 L. F. Bueno , F. Larreal , J. M. Martínez

We consider derivative-free algorithms for stochastic and non-stochastic convex optimization problems that use only function values rather than gradients. Focusing on non-asymptotic bounds on convergence rates, we show that if pairs of…

Optimization and Control · Mathematics 2014-08-21 John C. Duchi , Michael I. Jordan , Martin J. Wainwright , Andre Wibisono

We optimize the throughput of a single cell multiuser orthogonal frequency division multiplexing system with proportional data rate fairness among the users. The concept is to support mobile users with different levels of service. The…

Information Theory · Computer Science 2016-04-08 Mirza Golam Kibria , Shan Lin

In this paper, we identify partial correlation information structures that allow for simpler reformulations in evaluating the maximum expected value of mixed integer linear programs with random objective coefficients. To this end, assuming…

Optimization and Control · Mathematics 2018-10-25 Divya Padmanabhan , Karthik Natarajan , Karthyek R. A. Murthy

Algorithmic efficiency is essential to reducing energy and time usage for computational problems. Optimizing efficiency is important for tasks involving multiple resources, for example in stochastic calculations where the size of the random…

Computational Physics · Physics 2025-07-09 Run Yan Teh , Manushan Thenabadu , Peter D Drummond

We consider the problem of allocating a fixed amount of resource among nodes in a network when each node suffers a cost which is a convex function of the amount of resource allocated to it. We propose a new deterministic and distributed…

Optimization and Control · Mathematics 2016-06-14 Thinh T. Doan , Alex Olshevsky

We study a variation of the canonical online resource allocation problem in which resources are throughput, rather than budget, constrained. As in the classical setting, the decision-maker must assign sequentially arriving jobs to one of…

Optimization and Control · Mathematics 2025-09-17 Chamsi Hssaine , Huseyin Topaloglu , Garrett van Ryzin

Many problems in power systems involve optimizing a certain objective function subject to power flow equations and engineering constraints. A long-standing challenge in solving them is the nonconvexity of their feasible sets. In this paper,…

Optimization and Control · Mathematics 2023-10-03 Ling Zhang , Daniel Tabas , Baosen Zhang

Ensuring fairness while limiting costs, such as transportation or storage, is an important challenge in resource allocation, yet most work has focused on cost minimization without fairness or fairness without explicit cost considerations.…

Computer Science and Game Theory · Computer Science 2026-01-19 Eva Deltl

The distributed non-smooth resource allocation problem over multi-agent networks is studied in this paper, where each agent is subject to globally coupled network resource constraints and local feasibility constraints described in terms of…

Optimization and Control · Mathematics 2022-03-11 Xiaohong Nian , Fan Li , Dongxin Liu

In partial differential equations-based (PDE-based) inverse problems with many measurements, many large-scale discretized PDEs must be solved for each evaluation of the misfit or objective function. In the nonlinear case, evaluating the…

Numerical Analysis · Mathematics 2018-07-18 Selin Aslan , Eric de Sturler , Misha E. Kilmer

Resource allocation is the problem that a process may enter a critical section CS of its code only when its resource requirements are not in conflict with those of other processes in their critical sections. For each execution of CS, these…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-01 Wim H. Hesselink

This paper presents two stochastic optimization approaches for simultaneous project scheduling and personnel planning, extending a deterministic model previously developed by Heimerl and Kolisch. For the problem of assigning work packages…

Optimization and Control · Mathematics 2018-12-04 Thomas Felberbauer , Walter Gutjahr , Karl Doerner

Population-based evolutionary algorithms are often considered when approaching computationally expensive black-box optimization problems. They employ a selection mechanism to choose the best solutions from a given population after comparing…

Neural and Evolutionary Computing · Computer Science 2024-01-30 Judith Echevarrieta , Etor Arza , Aritz Pérez

Resource constrained project scheduling is an important combinatorial optimisation problem with many practical applications. With complex requirements such as precedence constraints, limited resources, and finance-based objectives, finding…

Neural and Evolutionary Computing · Computer Science 2022-10-21 Dhananjay R. Thiruvady , Su Nguyen , Christian Blum , Andreas T. Ernst

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

We propose a local regularization of elliptic optimal control problems which involves the nonconvex $L^q$ fractional penalizations in the cost function. The proposed \emph{Huber type} regularization allows us to formulate the PDE…

Optimization and Control · Mathematics 2019-04-23 Pedro Merino
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