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We study the cyclic inventory routing problem that involves joint decisions on vehicle routing and inventory replenishment on an infinite, cyclic horizon. It considers a single warehouse and a set of geographically dispersed retailers. We…

Optimization and Control · Mathematics 2026-05-07 Menglei Jia , Albert H. Schrotenboer , Ahmadreza Marandi , Feng Chen

Voltage control plays an important role in the operation of electricity distribution networks, especially with high penetration of distributed energy resources. These resources introduce significant and fast varying uncertainties. In this…

Optimization and Control · Mathematics 2018-11-07 Pan Li , Baihong Jin , Dai Wang , Baosen Zhang

As a natural approach to modeling system safety conditions, chance constraint (CC) seeks to satisfy a set of uncertain inequalities individually or jointly with high probability. Although a joint CC offers stronger reliability certificate,…

Optimization and Control · Mathematics 2022-04-04 Haoming Shen , Ruiwei Jiang

We provide an exact deterministic reformulation for data-driven chance constrained programs over Wasserstein balls. For individual chance constraints as well as joint chance constraints with right-hand side uncertainty, our reformulation…

Optimization and Control · Mathematics 2022-06-01 Zhi Chen , Daniel Kuhn , Wolfram Wiesemann

Building operations consume approximately 40% of global energy, with Heating, Ventilation, and Air Conditioning (HVAC) systems responsible for up to 50% of this consumption. As HVAC energy demands are expected to rise, optimising system…

Machine Learning · Computer Science 2024-12-02 Anaïs Berkes

In this paper we wish to tackle stochastic programs affected by ambiguity about the probability law that governs their uncertain parameters. Using optimal transport theory, we construct an ambiguity set that exploits the knowledge about the…

Optimization and Control · Mathematics 2021-06-15 Adrián Esteban-Pérez , Juan M. Morales

Thermal-aware workload distribution is a common approach in the literature for power consumption optimization in data centers. However, data centers also have other operational costs such as the cost of equipment maintenance and…

Systems and Control · Electrical Eng. & Systems 2023-08-25 Somayye Rostami , Douglas G. Down , George Karakostas

This paper builds Wasserstein ambiguity sets for the unknown probability distribution of dynamic random variables leveraging noisy partial-state observations. The constructed ambiguity sets contain the true distribution of the data with…

Optimization and Control · Mathematics 2021-07-21 Dimitris Boskos , Jorge Cortés , Sonia Martínez

Higher shares of electricity generation from renewable energy sources and market liberalization is increasing uncertainty in power systems operation. At the same time, operation is becoming more flexible with improved control systems and…

Optimization and Control · Mathematics 2016-09-09 Line Roald , Sidhant Misra , Thilo Krause , Goran Andersson

With the fast growth of wind power penetration, power systems need additional flexibility to cope with wind power ramping. Several electricity markets have established requirements for flexible ramping capacity (FRC) reserves. This paper…

Physics and Society · Physics 2017-12-05 Zhiwen Wang , Chen Shen , Feng Liu , Jianhui Wang , Xiangyu Wu

We study a smart grid with wind power and battery storage. Traditionally, day-ahead planning aims to balance demand and wind power, yet actual wind conditions often deviate from forecasts. Short-term flexibility in storage and generation…

Systems and Control · Electrical Eng. & Systems 2022-12-08 Thom S. Badings , Arnd Hartmanns , Nils Jansen , Marnix Suilen

With the integration of loads such as pulse power loads, a new control challenge is presented in meeting their high ramp rate requirements. Existing onboard generators are ramp rate limited. The inability to meet the load power due to ramp…

Optimization and Control · Mathematics 2024-07-31 Satish Vedula , Seyyed Shaho Alaviani , Olugbenga Moses Anubi

In this paper we present a risk-averse model predictive control (MPC) scheme for the operation of islanded microgrids with very high share of renewable energy sources. The proposed scheme mitigates the effect of errors in the determination…

Optimization and Control · Mathematics 2019-08-20 Christian A. Hans , Pantelis Sopasakis , Jörg Raisch , Carsten Reincke-Collon , Panagiotis Patrinos

Robust Model Predictive Control (MPC) for nonlinear systems is a problem that poses significant challenges as highlighted by the diversity of approaches proposed in the last decades. Often compromises with respect to computational load,…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Daniel D. Leister , Justin P. Koeln

Distributionally robust stochastic optimization (DRSO) is an approach to optimization under uncertainty in which, instead of assuming that there is a known true underlying probability distribution, one hedges against a chosen set of…

Optimization and Control · Mathematics 2022-05-03 Rui Gao , Anton J. Kleywegt

This paper presents a chance constrained information gap decision model for multi-period microgrid expansion planning (MMEP) considering two categories of uncertainties, namely random and non-random uncertainties. The main task of MMEP is…

Optimization and Control · Mathematics 2017-08-25 Xiaoyu Cao , Jianxue Wang , Bo Zeng

Unscheduled islanding events of microgrids result in the transition between grid-connected and islanded modes and induce a sudden and unknown power imbalance, posing a threat to frequency security. To achieve seamless islanding, we propose…

Optimization and Control · Mathematics 2024-01-09 Lun Yang , Haoxiang Yang , Xiaoyu Cao , Xiaohong Guan

Distribution systems are undergoing a dramatic transition from a passive circuit that routinely disseminates electric power among downstream nodes to the system with distributed energy resources. The distributed energy resources come in a…

Systems and Control · Computer Science 2018-03-12 Ali Hassan , Yury Dvorkin , Deepjyoti Deka , Michael Chertkov

Robust Optimal Control (ROC) with adjustable uncertainties has proven to be effective in addressing critical challenges within modern energy networks, especially the reserve and provision problem. However, prior research on ROC with…

Systems and Control · Electrical Eng. & Systems 2023-12-19 Yun Li , Neil Yorke-Smith , Tamas Keviczky

Control of nonlinear distributed parameter systems (DPS) under uncertainty is a meaningful task for many industrial processes. However, both intrinsic uncertainty and high dimensionality of DPS require intensive computations, while…

Optimization and Control · Mathematics 2024-10-17 Min Tao , Ioannis Zacharopoulos , Constantinos Theodoropoulos