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This paper develops maintenance policies for a system under condition monitoring. We assume that a number of defects may develop and the degradation process of each defect follows a gamma process, respectively. The system is inspected…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Shaomin Wu , Inma T. Castro

When a major outage occurs on a distribution system due to extreme events, microgrids, distributed generators, and other local resources can be used to restore critical loads and enhance resiliency. This paper proposes a decision-making…

Optimization and Control · Mathematics 2019-01-16 Ying Wang , Yin Xu , Jinghan He , Chen-Ching Liu , Kevin P. Schneider , Mingguo Hong , Dan T. Ton

Sequential allocation is a simple and widely studied mechanism to allocate indivisible items in turns to agents according to a pre-specified picking sequence of agents. At each turn, the current agent in the picking sequence picks its most…

Data Structures and Algorithms · Computer Science 2019-09-17 Mingyu Xiao , Jiaxing Ling

Natural disasters require repairing all damaged components in electricity distribution networks. Optimal scheduling repair crews to minimize the aggregate duration of interruptions reduces the harm. We consider the fact that the number of…

Optimization and Control · Mathematics 2019-06-18 Yushi Tan , Arindam K. Das , Payman Arabshahi , Daniel S. Kirschen

Natural disasters always have several effects on human lives. It is challenging for governments to tackle these incidents and to rebuild the economic, social and physical infrastructures and facilities with the available resources (mainly…

Computers and Society · Computer Science 2025-10-23 Ghulam Mudassir , Antinisca Di Marco , Giordano d'Aloisio

With increasing threats by large attacks or disasters, the time has come to reconstruct network infrastructures such as communication or transportation systems rather than to recover them as before in case of accidents, because many real…

Physics and Society · Physics 2020-09-03 Yukio Hayashi , Atsushi Tanaka , Jun Matsukubo

Sequential allocation is a simple and attractive mechanism for the allocation of indivisible goods. Agents take turns, according to a policy, to pick items. Sequential allocation is guaranteed to return an allocation which is efficient but…

Artificial Intelligence · Computer Science 2018-01-17 Haris Aziz , Thomas Kalinowski , Toby Walsh , Lirong Xia

A simple mechanism for allocating indivisible resources is sequential allocation in which agents take turns to pick items. We focus on possible and necessary allocation problems, checking whether allocations of a given form occur in some or…

Artificial Intelligence · Computer Science 2014-12-09 Haris Aziz , Toby Walsh , Lirong Xia

This paper reviews the literature on response strategies for restoring infrastructure networks in the aftermath of a disaster. Our motivation for this review is twofold. First, the frequency and magnitude of natural and man-made disasters…

Physics and Society · Physics 2024-07-23 Subhojit Biswas , Bahar Cavdar , Joseph Geunes

Operation of critical infrastructures are highly interdependent on each other. Such dependencies causes failure in these infrastructures to cascade on an initial failure event. Owing to this vulnerability it is imperative to incorporate…

Networking and Internet Architecture · Computer Science 2017-03-21 Joydeep Banerjee , Arunabha Sen , Chenyang Zho

We assume that an agent's rate of consumption is {\it ratcheted}; that is, it forms a non-decreasing process. Given the rate of consumption, we act as financial advisers and find the optimal investment strategy for the agent who wishes to…

Risk Management · Quantitative Finance 2008-12-10 Erhan Bayraktar , Virginia R. Young

Researchers and practitioners in the field of reliability engineering and optimization frequently use active redundancy techniques to intensify the performance of systems. In this article, we study allocation strategies of non-matching…

Applications · Statistics 2026-05-18 Bidhan Modok , Shovan Chowdhury , Amarjit Kundu

In fair division of indivisible goods, using sequences of sincere choices (or picking sequences) is a natural way to allocate the objects. The idea is as follows: at each stage, a designated agent picks one object among those that remain.…

Artificial Intelligence · Computer Science 2018-08-01 Aurélie Beynier , Sylvain Bouveret , Michel Lemaître , Nicolas Maudet , Simon Rey

Restoring operation of critical infrastructure systems after catastrophic events is an important issue, inspiring work in multiple fields, including network science, civil engineering, and operations research. We consider the problem of…

Adaptation and Self-Organizing Systems · Physics 2019-11-21 Andrew M. Smith , Márton Pósfai , Martin Rohden , Andrés D. Gonzáles , Leonardo Dueńas-Osorio , Raissa M. D'Souza

In this paper we study the problem of allocating a scarce resource among several players (or agents). A central decision maker wants to maximize the total utility of all agents. However, such a solution may be unfair for one or more agents…

Computer Science and Game Theory · Computer Science 2016-11-21 Gaia Nicosia , Andrea Pacifici , Ulrich Pferschy

With increasing levels of distributed energy resources (DERs) connected to the grid, it is important to understand the role that DERs can play in post-disaster restoration. In this paper, we propose a two-step optimization method to…

Systems and Control · Electrical Eng. & Systems 2021-12-14 Noah Rhodes , Line Roald

Recent network research has focused on the cascading failures in a system of interdependent networks and the necessary preconditions for system collapse. An important question that has not been addressed is how to repair a failing system…

Physics and Society · Physics 2016-01-27 M. A. Di Muro , C. E. La Rocca , H. E. Stanley , S. Havlin , L. A. Braunstein

Natural disasters or attacks may disrupt infrastructure networks on a vast scale. Parts of the damaged network are interdependent, making it difficult to plan and optimally execute the recovery operations. To study how interdependencies…

Optimization and Control · Mathematics 2012-07-13 Alexander Gutfraind , Milan Bradonjić , Tim Novikoff

We consider a cyber-physical system consisting of two interacting networks, i.e., a cyber-network overlaying a physical-network. It is envisioned that these systems are more vulnerable to attacks since node failures in one network may…

Data Analysis, Statistics and Probability · Physics 2012-08-06 Osman Yagan , Dajun Qian , Junshan Zhang , Douglas Cochran

We examine the problem of allocating a given total storage budget in a distributed storage system for maximum reliability. A source has a single data object that is to be coded and stored over a set of storage nodes; it is allowed to store…

Information Theory · Computer Science 2016-11-15 Derek Leong , Alexandros G. Dimakis , Tracey Ho