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Natural disasters, such as hurricanes, earthquakes and large wind or ice storms, typically require the repair of a large number of components in electricity distribution networks. Since power cannot be restored before these repairs have…

Optimization and Control · Mathematics 2018-03-09 Yushi Tan , Feng Qiu , Arindam K. Das , Daniel S. Kirschen , Payman Arabshahi , Jianhui Wang

Post-disaster crew dispatch is a critical but computationally intensive task. Traditional mixed-integer linear programming methods often require minutes to several hours to compute solutions, leading to delays that hinder timely…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Farshad Amani , Faezeh Ardali , Amin Kargarian

In this paper, we present a Distributionally Robust Markov Decision Process (DRMDP) approach for addressing the dynamic epidemic control problem. The Susceptible-Exposed-Infectious-Recovered (SEIR) model is widely used to represent the…

Optimization and Control · Mathematics 2023-06-27 Jun Song , William Yang , Chaoyue Zhao

Despite high reliability, modern power systems with growing renewable penetration face an increasing risk of cascading outages. Real-time cascade mitigation requires fast, complex operational decisions under uncertainty. In this work, we…

Physics and Society · Physics 2025-06-11 Kai Zhou , Youbiao He , Chong Zhong , Yifu Wu

We describe the bailout of banks by governments as a Markov Decision Process (MDP) where the actions are equity investments. The underlying dynamics is derived from the network of financial institutions linked by mutual exposures, and the…

Mathematical Finance · Quantitative Finance 2022-12-27 Daniele Petrone , Neofytos Rodosthenous , Vito Latora

The distributionally robust Markov Decision Process (MDP) approach asks for a distributionally robust policy that achieves the maximal expected total reward under the most adversarial distribution of uncertain parameters. In this paper, we…

Systems and Control · Computer Science 2018-10-10 Zhi Chen , Pengqian Yu , William B. Haskell

In this paper, a condition-based imperfect maintenance model based on piecewise deterministic Markov process (PDMP) is constructed. The degradation of the system includes two types: natural degradation and random shocks. The natural…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Weikai Wang , Xian Chen

Standard Markov decision process (MDP) and reinforcement learning algorithms optimize the policy with respect to the expected gain. We propose an algorithm which enables to optimize an alternative objective: the probability that the gain is…

Machine Learning · Computer Science 2023-03-06 Vincent Corlay , Jean-Christophe Sibel

Markov Decision Processes (MDPs) are a popular class of models suitable for solving control decision problems in probabilistic reactive systems. We consider parametric MDPs (pMDPs) that include parameters in some of the transition…

Logic in Computer Science · Computer Science 2018-06-14 Sebastian Arming , Ezio Bartocci , Krishnendu Chatterjee , Joost-Pieter Katoen , Ana Sokolova

We consider Markov decision processes (MDPs) with unknown disturbance distribution and address this problem using the robust Markov decision process (RMDP) approach. We construct the empirical distribution of the unknown disturbance…

Optimization and Control · Mathematics 2026-03-11 Sivaramakrishnan Ramani

Mobile energy storage systems (MESSs) provide mobility and flexibility to enhance distribution system resilience. The paper proposes a Markov decision process (MDP) formulation for an integrated service restoration strategy that coordinates…

Optimization and Control · Mathematics 2020-03-30 Shuhan Yao , Jiuxiang Gu , Peng Wang , Tianyang Zhao , Huajun Zhang , Xiaochuan Liu

After disasters, distribution networks have to be restored by repair, reconfiguration, and power dispatch. During the restoration process, changes can occur in real time that deviate from the situations considered in pre-designed planning…

Systems and Control · Electrical Eng. & Systems 2021-05-20 Jianfeng Fu , Alfredo Nunez , Bart De Schutter

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

The safety and resilience of civil infrastructure systems are increasingly threatened by compounded risks from various hazard events and structural deterioration due to environmental stressors. This study presents a comprehensive…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Sudhir P. Jodha , Konstantinos G. Papakonstantinou

This paper proposes a slot-based energy storage approach for decision-making in the context of an Off-Grid telecommunication operator. We consider network systems powered by solar panels, where harvest energy is stored in a battery that can…

Optimization and Control · Mathematics 2025-12-09 Youssef Ait El Mahjoub , Jean-Michel Fourneau

In the context of railway systems, the application performance can be very critical and the radio conditions not advantageous. Hence, the communication problem parameters include both a survival time stemming from the application layer and…

Information Theory · Computer Science 2023-03-22 Vincent Corlay , Jean-Christophe Sibel

Markov Decision Processes (MDPs) have been used to formulate many decision-making problems in science and engineering. The objective is to synthesize the best decision (action selection) policies to maximize expected rewards (or minimize…

Optimization and Control · Mathematics 2015-07-07 Mahmoud El Chamie , Behcet Acikmese

The functioning of interdependent civil infrastructure systems in the aftermath of a disruptive event is critical to the performance and vitality of any modern urban community. Post-event stressors and chaotic circumstances, time…

Computers and Society · Computer Science 2018-06-25 Saeed Nozhati , Bruce R. Ellingwood , Hussam Mahmoud , Yugandhar Sarkale , Edwin K. P. Chong , Nathanael Rosenheim

This paper discusses the functional stability of closed-loop Markov Chains under optimal policies resulting from a discounted optimality criterion, forming Markov Decision Processes (MDPs). We investigate the stability of MDPs in the sense…

Systems and Control · Electrical Eng. & Systems 2022-04-01 Arash Bahari Kordabad , Sebastien Gros

This paper proposes a decision-making approach for the control of distribution systems with distributed energy resources (DERs) equipped with photovoltaic (PV) units and battery energy storage systems (BESS). The objective is to minimize…

Systems and Control · Electrical Eng. & Systems 2024-12-13 Robert Sosnowski , Marcin Baszynski , Charalambos Konstantinou