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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,…

数据结构与算法 · 计算机科学 2015-02-20 Arindam Pal

The Origin-Destination~(OD) networks provide an estimation of the flow of people from every region to others in the city, which is an important research topic in transportation, urban simulation, etc. Given structural regional urban…

机器学习 · 计算机科学 2023-06-12 Can Rong , Jingtao Ding , Zhicheng Liu , Yong Li

We consider congestion games on networks with nonatomic users and user-specific costs. We are interested in the uniqueness property defined by Milchtaich [Milchtaich, I. 2005. Topological conditions for uniqueness of equilibrium in…

计算机科学与博弈论 · 计算机科学 2013-10-16 Frédéric Meunier , Thomas Pradeau

We study a basic auction design problem with online supply. There are two unit-demand bidders and two types of items. The first item type will arrive first for sure, and the second item type may or may not arrive. The auctioneer has to…

计算机科学与博弈论 · 计算机科学 2017-07-17 Nikhil R. Devanur , Balasubramanian Sivan , Vasilis Syrgkanis

We study a singular elliptic problem driven by a mixed local-nonlocal operator of the form \begin{equation*} \begin{aligned} -\Delta_p u + (-\Delta_q)^s u &= \frac{\lambda}{u^{\delta}} + u^r \text{ in } \Omega\newline u > 0 \text{ in }…

偏微分方程分析 · 数学 2026-02-13 R. Dhanya , Sarbani Pramanik

Multi-product pipelines are a highly efficient means of transporting liquids. Traditionally used to transport petroleum, its products and derivatives, they are now being repurposed to transport liquified natural gas admixed with hydrogen of…

最优化与控制 · 数学 2023-12-19 Ales Wodecki , Pavel Rytir , Vyacheslav Kungurtsev , Jakub Marecek

Mixed Integer Programming (MIP) is NP-hard, and yet modern solvers often solve large real-world problems within minutes. This success can partially be attributed to heuristics. Since their behavior is highly instance-dependent, relying on…

最优化与控制 · 数学 2023-04-10 Antonia Chmiela , Ambros Gleixner , Pawel Lichocki , Sebastian Pokutta

We consider a generalization of the unsplittable maximum two-commodity flow problem on undirected graphs where each commodity $i\in{1,2}$ can be split into a bounded number $k_i$ of equally-sized chunks that can be routed on different…

数据结构与算法 · 计算机科学 2011-11-22 Elke Eisenschmidt , Utz-Uwe Haus

This paper addresses an Electric Vehicle Relocation Problem (E-VReP), in one-way carsharing systems, based on operators who move through folding bicycles between a delivery request and one of pickup. In order to deal with its economical…

最优化与控制 · 数学 2015-04-10 Maurizio Bruglieri , Ferdinando Pezzella , Ornella Pisacane

This paper presents a model for a vehicle routing problem in which customer demands are stochastic and vehicles are divided into compartments. The problem is motivated by the needs of certain agricultural cooperatives that produce various…

最优化与控制 · 数学 2024-10-24 Juan Carlos Gonçalves-Dosantos , Laura Davila-Pena , Balbina Casas-Méndez

The remarkable success of the use of machine learning-based solutions for network security problems has been impeded by the developed ML models' inability to maintain efficacy when used in different network environments exhibiting different…

网络与互联网体系结构 · 计算机科学 2023-09-12 Roman Beltiukov , Wenbo Guo , Arpit Gupta , Walter Willinger

A crucial challenge arising in the design of large-scale logistical networks is to optimize parcel sortation for routing. We study this problem under the recent graph-theoretic formalization of Van Dyk, Klause, Koenemann and Megow (IPCO…

数据结构与算法 · 计算机科学 2024-09-16 Robert Ganian , Hung P. Hoang , Simon Wietheger

Network design problems constitute an important family of combinatorial optimization problems for which numerous exact and heuristic algorithms have been developed over the last few decades. Two central problems in this family are the…

最优化与控制 · 数学 2023-12-19 Eric Larsen , Serge Bisaillon , Jean-François Cordeau , Emma Frejinger

In this paper we study information flow paths in a data network, where traffic generated by servers (or sources) takes a multi-hop path in order to reach its clients (destinations). Each node in the middle of this multi-hop path should…

网络与互联网体系结构 · 计算机科学 2010-11-11 Sina Zahedpour , Mehdi Kalantari

We consider an undirected multi(commodity)flow demand problem in which a supply graph is planar, each source-sink pair is located on one of three specified faces of the graph, and the capacities and demands are integer-valued and Eulerian.…

组合数学 · 数学 2014-10-28 Maxim A. Babenko , Alexander V. Karzanov

We investigate the Robust Multiperiod Network Design Problem, a generalization of the classical Capacitated Network Design Problem that additionally considers multiple design periods and provides solutions protected against traffic…

最优化与控制 · 数学 2017-04-25 Fabio D'Andreagiovanni , Jonatan Krolikowski , Jonad Pulaj

Groundwater flow can have a significant impact on the thermal response of ground heat exchangers. The moving infinite line source model is thus widely used in practice as it considers both conductive and advective heat transfert processes.…

地球物理 · 物理学 2022-04-19 Philippe Pasquier , Louis Lamarche

We study the equilibrium behavior in a multi-commodity selfish routing game with many types of uncertain users where each user over- or under-estimates their congestion costs by a multiplicative factor. Surprisingly, we find that…

计算机科学与博弈论 · 计算机科学 2018-01-12 Shreyas Sekar , Liyuan Zheng , Lillian J. Ratliff , Baosen Zhang

Organisations often struggle to identify the causes of change in metrics such as product quality and delivery duration. This task becomes increasingly challenging when the cause lies outside of company borders in multi-echelon supply chains…

机器学习 · 计算机科学 2024-08-19 Stefan Schoepf , Jack Foster , Alexandra Brintrup

We study algorithmic problems in multi-stage open shop processing systems that are centered around reachability and deadlock detection questions. We characterize safe and unsafe system states. We show that it is easy to recognize system…

数据结构与算法 · 计算机科学 2011-02-16 Christian Eggermont , Alexander Schrijver , Gerhard J. Woeginger