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In this paper, we consider a network capacity expansion problem in the context of telecommunication networks, where there is uncertainty associated with the expected traffic demand. We employ a distributionally robust stochastic…

Optimization and Control · Mathematics 2020-04-10 Trivikram Dokka , Francis Garuba , Marc Goerigk , Peter Jacko

This paper studies two fundamental problems in power systems: the economic dispatch problem (EDP) and load shedding. For the EDP, an extension of the problem considering the transmission losses is presented. Because the optimization problem…

Systems and Control · Electrical Eng. & Systems 2021-08-31 Ismi Rosyiana Fitri , Jung-Su Kim

We formulate pure characteristics demand models under uncertainties of probability distributions as distributionally robust mathematical programs with stochastic complementarity constraints (DRMP-SCC). For any fixed first-stage variable and…

Optimization and Control · Mathematics 2021-02-10 Jie Jiang , Xiaojun Chen

Microgrids are recognized as a relevant tool to absorb decentralized renewable energies in the energy mix. However, the sequential handling of multiple stochastic productions and demands, and of storage, make their management a delicate…

Optimization and Control · Mathematics 2021-06-09 François Pacaud , Michel de Lara , Jean-Philippe Chancelier , Pierre Carpentier

This paper presents an optimization framework for sequential reconfiguration using an assortment of switching devices and repair process in distribution system restoration. Compared to existing studies, this paper considers types,…

Systems and Control · Electrical Eng. & Systems 2021-07-20 Anmar Arif , Bai Cui , Zhaoyu Wang

In this paper, we develop a two-stage data-driven approach to address the adjustable robust optimization problem, where the uncertainty set is adjustable to manage infeasibility caused by significant or poorly quantified uncertainties. In…

Optimization and Control · Mathematics 2025-05-29 Xiaoxing Ren , Alessio Moreschini , Zhongda Chu , Yulong Gao , Thomas Parisini

Most inverse problems from physical sciences are formulated as PDE-constrained optimization problems. This involves identifying unknown parameters in equations by optimizing the model to generate PDE solutions that closely match measured…

Optimization and Control · Mathematics 2024-03-12 Qin Li , Li Wang , Yunan Yang

Aggregation of heating, ventilation, and air conditioning (HVAC) loads can provide reserves to absorb volatile renewable energy, especially solar photo-voltaic (PV) generation. In this paper, we decide HVAC control schedules under uncertain…

Optimization and Control · Mathematics 2022-01-25 Yiling Zhang , Jin Dong

This research investigates a multi-product capacitated lot-sizing and scheduling problem incorporating a novel learning effect, namely the period-based learning effect. This is inspired by a real case in a core analysis laboratory under a…

Optimization and Control · Mathematics 2025-01-10 Mohammad Rohaninejad , Behdin Vahedi-Nouri , Reza Tavakkoli-Moghaddam , Zdeněk Hanzálek

Distributed generation and remotely controlled switches have emerged as important technologies to improve the resiliency of distribution grids against extreme weather-related disturbances. Therefore it becomes impor- tant to study how best…

Optimization and Control · Mathematics 2018-01-12 Geunyeong Byeon , Pascal Van Hentenryck , Russell Bent , Harsha Nagarajan

Adaptive robust optimization problems are usually solved approximately by restricting the adaptive decisions to simple parametric decision rules. However, the corresponding approximation error can be substantial. In this paper we show that…

Optimization and Control · Mathematics 2020-08-13 Grani A. Hanasusanto , Daniel Kuhn

We consider a distributionally robust stochastic optimization problem and formulate it as a stochastic two-level composition optimization problem with the use of the mean--semideviation risk measure. In this setting, we consider a single…

Optimization and Control · Mathematics 2023-06-12 Landi Zhu , Mert Gürbüzbalaban , Andrzej Ruszczyński

Cutting and Packing problems are occurring in different industries with a direct impact on the revenue of businesses. Generally, the goal in Cutting and Packing is to assign a set of smaller objects to a set of larger objects. To solve…

Artificial Intelligence · Computer Science 2021-10-28 Stefan Böhm , Martin Neumayer , Oliver Kramer , Alexander Schiendorfer , Alois Knoll

In this paper we present a multi-stage stochastic optimization model to solve an inventory routing problem for recyclable waste collection. The objective is the maximization of the total expected profit of the waste collection company. The…

Credibly assessing the resilience of energy infrastructure in the face of natural disasters is a salient concern facing researchers, government officials, and community members. Here, we explore the influence of the spatial distribution of…

Physics and Society · Physics 2019-02-11 Benjamin Rachunok , Roshanak Nateghi

Computation of optimal recovery decisions for community resilience assurance post-hazard is a combinatorial decision-making problem under uncertainty. It involves solving a large-scale optimization problem, which is significantly aggravated…

Optimization and Control · Mathematics 2018-12-19 Yugandhar Sarkale , Saeed Nozhati , Edwin K. P. Chong , Bruce Ellingwood , Hussam Mahmoud

Motivated by distribution problems arising in the supply chain of Haleon, we investigate a discrete optimization problem that we call the "container delivery scheduling problem". The problem models a supplier dispatching ordered products…

Optimization and Control · Mathematics 2023-07-03 Anna Collins , Dimitrios Letsios , Gueorgui Mihaylov

Planning in hybrid systems with both discrete and continuous control variables is important for dealing with real-world applications such as extra-planetary exploration and multi-vehicle transportation systems. Meanwhile, generating…

Robotics · Computer Science 2021-02-23 Jingkai Chen , Brian Williams , Chuchu Fan

Tiering is an essential technique for building large-scale information retrieval systems. While the selection of documents for high priority tiers critically impacts the efficiency of tiering, past work focuses on optimizing it with respect…

Information Retrieval · Computer Science 2020-05-19 Hyokun Yun , Michael Froh , Roshan Makhijani , Brian Luc , Alex Smola , Trishul Chilimbi

As the society becomes more dependent on the presence of electricity, the resilience of the power systems gains more importance. This paper develops a decision support method for distribution system operators to restore electricity after an…

Systems and Control · Electrical Eng. & Systems 2019-11-12 Onur Yigit Arpali , Ugur Can Yilmaz , Ebru Aydin Gol , Burcu Guldur Erkal , Murat Gol
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