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We take the classic facility location problem and consider a variation, in which each agent's individual cost function is equal to their distance from the facility multiplied by a scaling factor which is determined by the facility…

Computer Science and Game Theory · Computer Science 2024-12-06 Yu He , Alexander Lam , Minming Li

We study the problem of optimal location querying for location based services in road networks, which aims to find locations for new servers or facilities. The existing optimal solutions on this problem consider only the cases with one new…

Databases · Computer Science 2016-06-15 Ruifeng Liu , Ada WaiChee Fu , Zitong Chen , Silu Huang , Yubao Liu

We present a novel optimization method, named the Combined Optimization Method (COM), for the joint optimization of two or more cost functions. Unlike the conventional joint optimization schemes, which try to find minima in a weighted sum…

Computational Physics · Physics 2019-06-26 Daiki Adachi , Naoto Tsujimoto , Ryosuke Akashi , Synge Todo , Shinji Tsuneyuki

Increasing the complexity of solving budgetary allocation (NP-hardness problem) has led a wide range of methods to minimize the costs. Metaheuristics and Linear Programming (LP) are the most optimization in this fields. Therefore, this…

Dynamical Systems · Mathematics 2024-12-18 Ali Kadhim Yaqoob , Ahmad Kadri Junoh

Finding robust solutions of an optimization problem is an important issue in practice, and various concepts on how to define the robustness of a solution have been suggested. The idea of recoverable robustness requires that a solution can…

Optimization and Control · Mathematics 2016-04-07 Emilio Carrizosa , Marc Goerigk , Anita Schöbel

The Location-Routing Problem (LRP), which combines the challenges of facility (depot) locating and vehicle route planning, is critically constrained by the reliance on predefined depot candidates, limiting the solution space and potentially…

Machine Learning · Computer Science 2025-02-18 Site Qu , Guoqiang Hu

We introduce a new framework for optimal routing and arbitrage in AMM driven markets. This framework improves on the original best-practice convex optimization by restricting the search to the boundary of the optimal space. We can…

Mathematical Finance · Quantitative Finance 2025-02-13 Stefan Loesch , Mark Bentley Richardson

In this paper we consider a distributed optimization scenario in which a set of processors aims at minimizing the maximum of a collection of "separable convex functions" subject to local constraints. This set-up is motivated by peak-demand…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-27 Ivano Notarnicola , Mauro Franceschelli , Giuseppe Notarstefano

Motivated by a transit line planning problem in transportation systems, we investigate the following capacitated assignment problem under a budget constraint. Our model involves $L$ bins and $P$ items. Each bin $l$ has a utilization cost…

Optimization and Control · Mathematics 2024-10-11 Hongyi Jiang , Samitha Samaranayake

The $k$-Facility Location problem is a generalization of the classical problems $k$-Median and Facility Location. The goal is to select a subset of at most $k$ facilities that minimizes the total cost of opened facilities and established…

Data Structures and Algorithms · Computer Science 2017-04-25 Jarosław Byrka , Krzysztof Fleszar , Bartosz Rybicki , Joachim Spoerhase

Migrating computational intensive tasks from mobile devices to more resourceful cloud servers is a promising technique to increase the computational capacity of mobile devices while saving their battery energy. In this paper, we consider a…

Networking and Internet Architecture · Computer Science 2016-11-15 Stefania Sardellitti , Gesualdo Scutari , Sergio Barbarossa

We consider the problem of choosing prices of a set of products so as to maximize profit, taking into account self-elasticity and cross-elasticity, subject to constraints on the prices. We show that this problem can be formulated as…

Optimization and Control · Mathematics 2026-04-30 Maximilian Schaller , Stephen Boyd

Existing motion planning methods often have two drawbacks: 1) goal configurations need to be specified by a user, and 2) only a single solution is generated under a given condition. In practice, multiple possible goal configurations exist…

Robotics · Computer Science 2020-09-24 Takayuki Osa

Stochastic matching is the stochastic version of the well-known matching problem, which consists in maximizing the rewards of a matching under a set of probability distributions associated with the nodes and edges. In most stochastic…

Optimization and Control · Mathematics 2024-05-01 Yuya Hikima , Yasunori Akagi , Hideaki Kim

Join order optimization is among the most crucial query optimization problems, and its central position is also evident in the new research field where quantum computing is applied to database optimization and data management. In the field,…

Quantum Physics · Physics 2025-02-04 Valter Uotila

In this work, we consider a method of searching of the direction of a wireless network development (the places of new access points or base stations etc.) optimized with criteria of coverage of important territories and minimum cost of…

Networking and Internet Architecture · Computer Science 2012-09-03 Lev Kazakovtsev

We consider k-Facility Location games, where n strategic agents report their locations on the real line, and a mechanism maps them to k facilities. Each agent seeks to minimize his connection cost, given by a nonnegative increasing function…

Computer Science and Game Theory · Computer Science 2013-05-16 Dimitris Fotakis , Christos Tzamos

The essence of distributed computing systems is how to schedule incoming requests and how to allocate all computing nodes to minimize both time and computation costs. In this paper, we propose a cost-aware optimal scheduling and allocation…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-02 Wei Ren , Eleftherios Vlahakis , Nikolaos Athanasopoulos , Raphael Jungers

Incentivizing flexible consumption of end-users is key to maximizing the value of local exchanges within Renewable Energy Communities. If centralized coordination for flexible resources planning raises concerns regarding data privacy and…

Systems and Control · Electrical Eng. & Systems 2026-01-12 Thomas Stegen , Julien Allard , Noé Diffels , François Vallée , Mevludin Glavic , Zacharie De Grève , Bertrand Cornélusse

The Capacitated Location Routing Problem is an important planning and routing problem in logistics, which generalizes the capacitated vehicle routing problem and the uncapacitated facility location problem. In this problem, we are given a…

Data Structures and Algorithms · Computer Science 2025-03-18 Jingyang Zhao , Mingyu Xiao , Shunwang Wang
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