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Influence Maximization Problem (IMP) is selecting a seed set of nodes in the social network to spread the influence as widely as possible. It has many applications in multiple domains, e.g., viral marketing is frequently used for new…

Databases · Computer Science 2020-01-23 Xinxun Zeng , Shiqi Zhang , Bo Tang

In this paper we deal with a network of agents seeking to solve in a distributed way Mixed-Integer Linear Programs (MILPs) with a coupling constraint (modeling a limited shared resource) and local constraints. MILPs are NP-hard problems and…

Systems and Control · Computer Science 2020-10-28 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

Influence diagrams represent decision-making problems with interdependencies between random events, decisions, and consequences. Traditionally, they have been solved using algorithms that determine the expected utility-maximizing decision…

Optimization and Control · Mathematics 2026-01-14 Topias Terho , Fabricio Oliveira , Ahti Salo , Pedro Munari

This paper considers the generalized maximal covering location problem (GMCLP) which establishes a fixed number of facilities to maximize the weighted sum of the covered customers, allowing customer weights to be positive or negative. Due…

Optimization and Control · Mathematics 2025-05-12 Wei Lv , Cheng-Yang Yu , Jie Liang , Wei-Kun Chen , Yu-Hong Dai

The maximum covering location problem (MCLP) is a key problem in facility location, with many applications and variants. One such variant is the dynamic (or multi-period) MCLP, which considers the installation of facilities across multiple…

Optimization and Control · Mathematics 2023-10-27 Steven Lamontagne , Margarida Carvalho , Ribal Atallah

Influence maximization (IM) is the problem of finding for a given $s\geq 1$ a set $S$ of $|S|=s$ nodes in a network with maximum influence. With stochastic diffusion models, the influence of a set $S$ of seed nodes is defined as the…

Machine Learning · Computer Science 2019-10-30 Gal Sadeh , Edith Cohen , Haim Kaplan

Mixed integer Model Predictive Control (MPC) problems arise in the operation of systems where discrete and continuous decisions must be taken simultaneously to compensate for disturbances. The efficient solution of mixed integer MPC…

Optimization and Control · Mathematics 2024-04-09 Ilias Mitrai , Prodromos Daoutidis

We investigate methods to solve the maximum-reliability stochastic network interdiction problem (SNIP). In this problem, a defender interdicts arcs on a directed graph to minimize an attacker's probability of undetected traversal through…

Optimization and Control · Mathematics 2018-06-05 Eli Towle , James Luedtke

Real-time solutions to the influence blocking maximization (IBM) problems are crucial for promptly containing the spread of misinformation. However, achieving this goal is non-trivial, mainly because assessing the blocked influence of an…

Neural and Evolutionary Computing · Computer Science 2025-05-23 Wenjie Chen , Shengcai Liu , Yew-Soon Ong , Zhuang Li , Ke Tang

Since its introduction in 2003, the influence maximization (IM) problem has drawn significant research attention in the literature. The aim of IM is to select a set of k users who can influence the most individuals in the social network.…

Social and Information Networks · Computer Science 2019-06-19 Hui Li , Mengting Xu , Sourav S Bhowmick , Changsheng Sun , Zhongyuan Jiang , Jiangtao Cui

In this paper, we consider a probabilistic set covering problem (PSCP) in which each 0-1 row of the constraint matrix is random with a finite discrete distribution, and the objective is to minimize the total cost of the selected columns…

Optimization and Control · Mathematics 2025-01-27 Jie Liang , Cheng-Yang Yu , Wei Lv , Wei-Kun Chen , Yu-Hong Dai

Influence Maximization(IM) aims to identify highly influential nodes to maximize influence spread in a network. Previous research on the IM problem has mainly concentrated on single-layer networks, disregarding the comprehension of the…

Physics and Society · Physics 2023-11-16 Su-Su Zhang , Ming Xie , Chuang Liu , Xiu-Xiu Zhan

In this paper, we consider the multiple probabilistic covering location problem (MPCLP), which attempts to open a fixed number of facilities to maximize the total covered customer demand under a joint probabilistic coverage setting. We…

Optimization and Control · Mathematics 2025-11-24 Yan-Ru Wang , Wei-Kun Chen , Ivana Ljubić

Community partition is an important problem in many areas such as biology network, social network. The objective of this problem is to analyse the relationships among data via the network topology. In this paper, we consider the community…

Social and Information Networks · Computer Science 2020-07-07 Qiufen Ni , Jianxiong Guo , Chuanhe Huang , Weili Wu

A social network (SN) is a social structure consisting of a group representing the interaction between them. SNs have recently been widely used and, subsequently, have become suitable and popular platforms for product promotion and…

Social and Information Networks · Computer Science 2022-09-13 Saeid Ghafouri , Seyed Hossein Khasteh , Seyed Omid Azarkasb

Energy systems planning models identify least-cost strategies for expansion and operation of energy systems and provide decision support for investment, planning, regulation, and policy. Most are formulated as linear programming (LP) or…

Optimization and Control · Mathematics 2025-01-08 Anna Jacobson , Filippo Pecci , Nestor Sepulveda , Qingyu Xu , Jesse Jenkins

Given a social network $G$ and an integer $k$, the influence maximization (IM) problem asks for a seed set $S$ of $k$ nodes from $G$ to maximize the expected number of nodes influenced via a propagation model. The majority of the existing…

Social and Information Networks · Computer Science 2020-04-15 Keke Huang , Jing Tang , Kai Han , Xiaokui Xiao , Wei Chen , Aixin Sun , Xueyan Tang , Andrew Lim

In a diffusion process on a network, how many nodes are expected to be influenced by a set of initial spreaders? This natural problem, often referred to as influence estimation, boils down to computing the marginal probability that a given…

Social and Information Networks · Computer Science 2020-01-01 Andrey Y. Lokhov , David Saad

Influence Maximization (IM) is a classical combinatorial optimization problem, which can be widely used in mobile networks, social computing, and recommendation systems. It aims at selecting a small number of users such that maximizing the…

Social and Information Networks · Computer Science 2023-06-16 Yandi Li , Haobo Gao , Yunxuan Gao , Jianxiong Guo , Weili Wu

In this paper, we present decomposition techniques for solving large-scale instances of the security-constrained optimal power flow (SCOPF) problem with primary response. Specifically, under each contingency state, we require that the nodal…

Optimization and Control · Mathematics 2019-10-10 Alexandre Velloso , Pascal Van Hentenryck , Emma S. Johnson
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