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We consider a project that consists of activities to be performed in parallel under various temporal constraints, which include start-start, start-finish and finish-start precedence relationships, release times, deadlines, and due dates.…

最优化与控制 · 数学 2016-12-23 N. Krivulin

We are considering a two-stage optimal scheduling problem, which involves two similar projects with the same starting times for workers and the same deadlines for tasks. It is required that the starting times for workers and deadlines for…

最优化与控制 · 数学 2023-01-24 Nikolai Krivulin , Serge\uı Sergeev

Projects are characterised by activity networks with a critical path, a sequence of activities from start to end, that must be finished on time to complete the project on time. Watching over the critical path is the project manager's…

物理与社会 · 物理学 2022-07-12 Alexei Vazquez , Iacopo Pozzana , Georgios Kalogridis , Christos Ellinas

We introduce a model of adaptive temporal networks whose evolution is regulated by an interplay between node activity and dynamic exchange of information through links. We study the model by using a master equation approach. Starting from a…

物理与社会 · 物理学 2016-04-18 Takaaki Aoki , Luis E. C. Rocha , Thilo Gross

Functional networks of complex systems are obtained from the analysis of the temporal activity of their components, and are often used to infer their unknown underlying connectivity. We obtain the equations relating topology and function in…

无序系统与神经网络 · 物理学 2015-03-18 Víctor M. Eguíluz , Toni Pérez , Javier Borge-Holtoefer , Alex Arenas

A project schedule contains a network of activities, the activity durations, the early and late finish dates for each activity, and the associated total float or slack times, the difference between the late and early dates. Here I show that…

物理与社会 · 物理学 2024-04-10 Alexei Vazquez

Dynamical processes on time-varying complex networks are key to understanding and modeling a broad variety of processes in socio-technical systems. Here we focus on empirical temporal networks of human proximity and we aim at understanding…

物理与社会 · 物理学 2013-11-01 Laetitia Gauvin , André Panisson , Ciro Cattuto , Alain Barrat

The work presented in this thesis concerns different aspects of dynamical processes on networks. The first subject considered is the theoretical modeling of exploration processes of complex networks, such as the ``traceroute'' process used…

物理与社会 · 物理学 2007-05-23 Luca Dall'Asta

In this paper we study the convergence of the max-consensus protocol. Tropical algebra is used to formulate the problem. Necessary and sufficient conditions for convergence of the max-consensus protocol over fixed as well as switching…

最优化与控制 · 数学 2011-09-05 Joel George Manathara , Ambedkar Dukkipati , Dabasish Ghose

Here we consider the topological properties of the integrated networks emerging from the activity driven model [Perra at al. Sci. Rep. 2, 469 (2012)], a temporal network model recently proposed to explain the power-law degree distribution…

统计力学 · 物理学 2015-06-15 Michele Starnini , Romualdo Pastor Satorras

Engineering projects are notoriously hard to complete on-time, with project delays often theorised to propagate across interdependent activities. Here, we use a novel dataset consisting of activity networks from 14 diverse, large-scale…

社会与信息网络 · 计算机科学 2021-07-16 Marc Santolini , Christos Ellinas , Christos Nicolaides

Delays in activities completion drive human projects to schedule and cost overruns. It is believed activity delays are the consequence of multiple idiosyncrasies without specific patterns or rules. Here we show that is not the case. Using…

物理与社会 · 物理学 2024-03-06 Alexei Vazquez , Chrysostomos Marasinou , Georgios Kalogridis , Christos Ellinas

We study the temporal percolation properties of temporal networks by taking as a representative example the recently proposed activity driven network model [N. Perra et al., Sci. Rep. 2, 469 (2012)]. Building upon an analytical framework…

统计力学 · 物理学 2015-06-18 Michele Starnini , Romualdo Pastor Satorras

This paper formulates the completion time $\tau$ of a project network as $ \tau =\|\mathbf{R} \mathbf{t} \|_\infty $ where the rows of $\mathbf{R}$ are simple paths of the network and $\mathbf{t}$ is a column vector representing the…

New solutions for problems in optimal scheduling of activities in a project under temporal constraints are developed in the framework of tropical algebra which deals with the theory and application of algebraic systems with idempotent…

最优化与控制 · 数学 2024-12-06 N. Krivulin , S. Gubanov

We study spreading on networks where the contact dynamics between the nodes is governed by a random process and where the inter-contact time distribution may differ from the exponential. We consider a process of imperfect spreading, where…

物理与社会 · 物理学 2016-07-07 Martin Gueuning , Jean-Charles Delvenne , Renaud Lambiotte

Detecting malicious activity within an enterprise computer network can be framed as a temporal link prediction task: given a sequence of graphs representing communications between hosts over time, the goal is to predict which edges…

密码学与安全 · 计算机科学 2023-03-29 Corentin Larroche

Many physical, biological, and social phenomena can be described by cascades taking place on a network. Often, the activity can be empirically observed, but not the underlying network of interactions. In this paper we offer three…

社会与信息网络 · 计算机科学 2017-07-24 Sushrut Ghonge , Dervis Can Vural

We consider the optimization problem of seeding a spreading process on a temporal network so that the expected size of the resulting outbreak is maximized. We frame the problem for a spreading process following the rules of the…

物理与社会 · 物理学 2020-10-20 Sirag Erkol , Dario Mazzilli , Filippo Radicchi

The exploitation of high volume of geolocalized data from social sport tracking applications of outdoor activities can be useful for natural resource planning and to understand the human mobility patterns during leisure activities. This…

物理与社会 · 物理学 2017-07-05 Isaac Lera , Toni Pérez , Carlos Guerrero , Víctor Eguíluz , Carlos Juiz
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