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Order picking and order packing entail retrieving items from storage and packaging them according to customer requests. These activities have always been the main concerns of the companies in reducing warehouse management costs. This paper…

Optimization and Control · Mathematics 2022-06-24 Sen Xue , Chuanhou Gao

Motivated by economic dispatch and linearly-constrained resource allocation problems, this paper proposes a novel Distributed Approx-Newton algorithm that approximates the standard Newton optimization method. A main property of this…

Numerical Analysis · Computer Science 2017-03-24 Tor Anderson , Chin-Yao Chang , Sonia Martinez

Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances,…

Data Structures and Algorithms · Computer Science 2015-02-20 Arindam Pal

We consider the problem of allocating $m$ indivisible chores among $n$ agents with possibly different weights, aiming for a solution that is both fair and efficient. Specifically, we focus on the classic fairness notion of proportionality…

Computer Science and Game Theory · Computer Science 2025-10-14 Jugal Garg , Eklavya Sharma , Xiaowei Wu

Timely and effective load shedding in power systems is critical for maintaining supply-demand balance and preventing cascading blackouts. To eliminate load shedding bias against specific regions in the system, optimization-based methods are…

Systems and Control · Electrical Eng. & Systems 2025-02-28 Yuqi Zhou , Joseph Severino , Sanjana Vijayshankar , Juliette Ugirumurera , Jibo Sanyal

Distributed and iterative network utility maximization algorithms, such as the primal-dual algorithms or the network-user decomposition algorithms, often involve trajectories where the iterates may be infeasible, convergence to the optimal…

Optimization and Control · Mathematics 2018-12-11 Akhil P T , Rajesh Sundaresan

This paper studies the problem of congestion control and scheduling in ad hoc wireless networks that have to support a mixture of best-effort and real-time traffic. Optimization and stochastic network theory have been successful in…

Networking and Internet Architecture · Computer Science 2009-12-13 Juan Jose Jaramillo , R. Srikant

In this paper, we develop a distributed algorithm for solving a class of distributed convex optimization problems where the local objective functions can be a general nonsmooth function, and all equalities and inequalities are network-wide…

Optimization and Control · Mathematics 2026-04-14 Yeong-Ung Kim , Hyo-Sung Ahn

Matching algorithms are used routinely to match donors to recipients for solid organs transplantation, for the assignment of medical residents to hospitals, record linkage in databases, scheduling jobs on machines, network switching, online…

Data Structures and Algorithms · Computer Science 2020-01-09 David García-Soriano , Francesco Bonchi

We study the max-min fair allocation problem in which a set of $m$ indivisible items are to be distributed among $n$ agents such that the minimum utility among all agents is maximized. In the restricted setting, the utility of each item $j$…

Discrete Mathematics · Computer Science 2016-11-28 T-H. Hubert Chan , Zhihao Gavin Tang , Xiaowei Wu

We consider distributed stochastic optimization problems that are solved with master/workers computation architecture. Statistical arguments allow to exploit statistical similarity and approximate this problem by a finite-sum problem, for…

Data-driven decision-making has drawn scrutiny from policy makers due to fears of potential discrimination, and a growing literature has begun to develop fair statistical techniques. However, these techniques are often specialized to one…

Statistics Theory · Mathematics 2021-01-01 Anil Aswani , Matt Olfat

Designing efficient and fair algorithms for sharing multiple resources between heterogeneous demands is becoming increasingly important. Applications include compute clusters shared by multi-task jobs and routers equipped with middleboxes…

Networking and Internet Architecture · Computer Science 2014-10-06 Thomas Bonald , James Roberts

Motivated by a variety of applications in control engineering and information sciences, we study network resource allocation problems where the goal is to optimally allocate a fixed amount of resource over a network of nodes. In these…

Optimization and Control · Mathematics 2017-08-25 Thinh T. Doan , Carolyn L. Beck

The majority of online marketplaces offer promotion programs to sellers to acquire additional customers for their products. These programs typically allow sellers to allocate advertising budgets to promote their products, with higher…

Computer Science and Game Theory · Computer Science 2025-02-05 Anastasiia Soboleva , Alexander Ledovsky , Yuriy Dorn , Egor Samosvat , Andrey Tikhanov , Fyodor Prazdnikov

This paper considers resource allocation to achieve max-min fairness in a selection-based orthogonal frequency division multiplexing network wherein source nodes are assisted by fixed decode-and-forward relays. The joint problem of…

Information Theory · Computer Science 2011-12-14 Kianoush Hosseini , Raviraj S. Adve

In many developing countries, the total electricity demand is larger than the limited generation capacity of power stations. Many countries adopt the common practice of routine load shedding - disconnecting entire regions from the power…

Computer Science and Game Theory · Computer Science 2022-05-31 Dinesh Kumar Baghel , Vadim E. Levit , Erel Segal-Halevi

Distributed resource allocation is a central task in network systems such as smart grids, water distribution networks, and urban transportation systems. When solving such problems in practice it is often important to have nonasymptotic…

Optimization and Control · Mathematics 2021-03-30 Xuyang Wu , Sindri Magnusson , Mikael Johansson

This study develops an algorithm for distributed computing of linear programming problems of huge-scales. Global consensus with single common variable, multiblocks, and augmented Lagrangian are adopted. The consensus is used to partition…

Optimization and Control · Mathematics 2025-08-07 Luoyi Tao

It is demonstrated how dynamic storage allocation algorithms can be analyzed in terms of finite size scaling. The method is illustrated in the three simple cases of the it first-fit, next-fit and it best-fit algorithms, and the system works…

Statistical Mechanics · Physics 2007-05-23 Hamed Seyed-allaei