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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…

Optimization and Control · Mathematics 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…

Optimization and Control · Mathematics 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…

Optimization and Control · Mathematics 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…

Emerging Technologies · Computer Science 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…

Optimization and Control · Mathematics 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…

Machine Learning · Computer Science 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…

Optimization and Control · Mathematics 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…

Optimization and Control · Mathematics 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…

Systems and Control · Electrical Eng. & Systems 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…

Data Structures and Algorithms · Computer Science 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…

Probability · Mathematics 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…

Combinatorics · Mathematics 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…

Quantum Physics · Physics 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…

Information Theory · Computer Science 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…

Numerical Analysis · Mathematics 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…

Discrete Mathematics · Computer Science 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…

Computer Science and Game Theory · Computer Science 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…

Optimization and Control · Mathematics 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…

Data Structures and Algorithms · Computer Science 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…