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This paper studies the joint optimization of edge node activation and resource pricing in edge computing, where an edge computing platform provides heterogeneous resources to accommodate multiple services with diverse preferences. We cast…

最优化与控制 · 数学 2025-07-15 Duong Thuy Anh Nguyen , Tarannum Nisha , Ni Trieu , Duong Tung Nguyen

We study a general class of quadratic capacitated $p$-location problems facility location problems with single assignment where a non-separable, non-convex, quadratic term is introduced in the objective function to account for the…

最优化与控制 · 数学 2021-07-22 C. A. Zetina , I. Contreras , S. Jayaswal

This paper presents an extension of a recently introduced multistage stochastic integer model designed for optimizing the deployment of charging stations under uncertainty. A key contribution of this work is incorporating additional…

最优化与控制 · 数学 2025-01-03 Antoine Deza , Kai Huang , Carlos Aníbal Suárez

Combinatorial optimization problems are crucial in industry. However, many COPs are NP-hard, causing the search space to grow exponentially with problem size and rendering large-scale instances computationally intractable. Conventional…

新兴技术 · 计算机科学 2026-02-27 Eiji Kawase , Shuta Kikuchi , Hideaki Tamai , Shu Tanaka

Micro-transit services offer a promising solution to enhance urban mobility and access, particularly by complementing existing public transit. However, effectively designing these services requires determining optimal service zones for…

最优化与控制 · 数学 2025-09-16 Hins Hu , Rhea Goswami , Hongyi Jiang , Samitha Samaranayake

Black-box optimization has potential in numerous applications such as hyperparameter optimization in machine learning and optimization in design of experiments. Ising machines are useful for binary optimization problems because variables…

机器学习 · 计算机科学 2022-09-05 Yuya Seki , Ryo Tamura , Shu Tanaka

This paper is about how to partition decision variables while decomposing a large-scale optimization problem for the best performance of distributed solution methods. Solving a large-scale optimization problem sequen- tially can be…

最优化与控制 · 数学 2017-10-26 Yuchen Zheng , Ilbin Lee , Nicoleta Serban

This working paper is divided into two parts. Firstly, we develop a new combined equilibrium model of business land-use, which puts travelers' traffic equilibrium and business companies' competitive location equilibrium into a unified…

最优化与控制 · 数学 2015-01-20 Qian Liu , Chongchao Huang

With the electrification of ride-hailing fleets, there will be a need to incentivize where and when the ride-hailing vehicles should charge. In this work, we assume that a central authority wants to control the distribution of the vehicles…

系统与控制 · 电气工程与系统科学 2023-08-28 Marko Maljkovic , Gustav Nilsson , Nikolas Geroliminis

This paper introduces the Packing While Traveling problem as a new non-linear knapsack problem. Given are a set of cities that have a set of items of distinct profits and weights and a vehicle that may collect the items when visiting all…

数据结构与算法 · 计算机科学 2017-03-22 Sergey Polyakovskiy , Frank Neumann

A special type of binomial splitting process is studied. Such a process can be used to model a high-dimensional corner parking problem, as well as the depth of random PATRICIA tries (a special class of digital tree data structures). The…

概率论 · 数学 2013-11-27 Michael Fuchs , Hsien-Kuei Hwang , Yoshiaki Itoh , Hosam H. Mahmoud

We tackle three optimization problems in which a colored graph, where each node is assigned a color, must be partitioned into colorful connected components. A component is defined as colorful if each color appears at most once. The problems…

组合数学 · 数学 2025-06-11 Claudia Archetti , Martina Cerulli , Carmine Sorgente

Combinatorial optimization is considered a promising class of problems in which quantum computers can show significant advantages. However, problems of practical relevance typically have more variables than current or foreseeable quantum…

量子物理 · 物理学 2025-12-23 Mathias Schmid , Naeimeh Mohseni , Michael J. Hartmann

In mobile edge computing (MEC) systems, users offload computationally intensive tasks to edge servers at base stations. However, with unequal demand across the network, there might be excess demand at some locations and underutilized…

信息论 · 计算机科学 2021-01-18 Marie Siew , Kun Guo , Desmond Cai , Lingxiang Li , Tony Q. S. Quek

Optimal control problems including partial differential equation (PDE) as well as integer constraints merge the combinatorial difficulties of integer programming and the challenges related to large-scale systems resulting from discretized…

数值分析 · 数学 2021-09-09 Dominik Garmatter , Margherita Porcelli , Francesco Rinaldi , Martin Stoll

A ride sharing problem is considered where we are given a graph, whose edges are equipped with a travel cost, plus a set of objects, each associated with a transportation request given by a pair of origin and destination nodes. A vehicle…

离散数学 · 计算机科学 2016-06-10 Angelo Fanelli , Gianluigi Greco

The growth of the sharing economy is driven by the emergence of sharing platforms, e.g., Uber and Lyft, that match owners looking to share their resources with customers looking to rent them. The design of such platforms is a complex…

计算机科学与博弈论 · 计算机科学 2016-11-01 Zhixuan Fang , Longbo Huang , Adam Wierman

Electric mobility faces several challenges, most notably the high cost of infrastructure development and the underutilization of charging stations. The concept of shared charging offers a promising solution. The paper explores sustainable…

最优化与控制 · 数学 2026-05-06 Fangting Zhou , Balazs Kulcsar , Jiaming Wu

The n-way number partitioning problem, a fundamental challenge in combinatorial optimization, has significant implications for applications such as fair division and machine scheduling. Despite these problems being NP-hard, many…

数据结构与算法 · 计算机科学 2025-04-04 Samuel Bismuth , Erel Segal-Halevi , Dana Shapira

This paper presents theoretical and practical results for the bin packing problem with scenarios, a generalization of the classical bin packing problem which considers the presence of uncertain scenarios, of which only one is realized. For…