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We consider a risk-averse stochastic capacity planning problem under uncertain demand in each period. Using a scenario tree representation of the uncertainty, we formulate a multistage stochastic integer program to adjust the capacity…

Optimization and Control · Mathematics 2024-11-05 Xian Yu , Siqian Shen

Solving large-scale capacity expansion problems (CEPs) is central to cost-effective decarbonization of regional-scale energy systems. To ensure the intended outcomes of CEPs, modeling uncertainty due to weather-dependent variable renewable…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Aron Brenner , Rahman Khorramfar , Dharik Mallapragada , Saurabh Amin

Transmission expansion planning (TEP) plays a critical role in ensuring power system reliability and facilitating the integration of renewable energy resources. However, this process requires planners to constantly deal with significant…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Victor Schmitt , Farzaneh Pourahmadi , Angela Flores-Quiroz , Pablo Apablaza , Pierluigi Mancarella

Autonomous microgrid planning is a Mixed-Integer Non Convex decision problem that requires to consider investments in both distribution and generation capacity and represents significant computation challenges. We proposed in a previous…

Optimization and Control · Mathematics 2017-03-21 Benoît Martin , François Glineur , Emmanuel De Jaeger

Capacity expansion models are frequently used to inform multi-billion dollar grid infrastructure decisions, a context in which there is significant uncertainty surrounding the future need for and performance of such infrastructure. However,…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Gabriel Mantegna , Emil Dimanchev , Filippo Pecci , Neha Patankar , Jesse Jenkins

In this paper we study how to optimally balance cheap inflexible resources with more expensive, reconfigurable resources despite uncertainty in the input problem. Specifically, we introduce the MinEMax model to study "build versus rent"…

Data Structures and Algorithms · Computer Science 2019-07-23 D Ellis Hershkowitz , R. Ravi , Sahil Singla

We present a method for solving a large-scale stochastic capacity expansion problem which explicitly considers reliability constraints, in particular constraints on expected energy not served. Our method tackles this problem by a Lagrange…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Marilena Zampara , Daniel Ávila , Anthony Papavasiliou

Production planning must account for uncertainty in a production system, arising from fluctuating demand forecasts. Therefore, this article focuses on the integration of updated customer demand into the rolling horizon planning cycle. We…

Econometrics · Economics 2024-09-27 Manuel Schlenkrich , Wolfgang Seiringer , Klaus Altendorfer , Sophie N. Parragh

Successful application of machine learning models to real-world prediction problems, e.g. financial forecasting and personalized medicine, has proved to be challenging, because such settings require limiting and quantifying the uncertainty…

Machine Learning · Computer Science 2020-09-15 Yao Zhang , William Zame , Mihaela van der Schaar

In this paper we analyze the effect of two modelling approaches for supply planning problems under uncertainty: two-stage stochastic programming (SP) and robust optimization (RO). The comparison between the two approaches is performed…

Optimization and Control · Mathematics 2016-11-22 Francesca Maggioni , Florian Potra , Marida Bertocchi

In the wake of the highly electrified future ahead of us, the role of energy storage is crucial wherever distributed generation is abundant, such as in microgrid settings. Given the variety of storage options that are becoming more and more…

Machine Learning · Computer Science 2021-03-26 S. Tsianikas , N. Yousefi , J. Zhou , M. Rodgers , D. W. Coit

In modern distributed systems, efficient resource allocation is a vital aspect to maintain scalability, reduce operational costs, and ensure fast execution even across heterogeneous workloads. Predictive models for resource usage are…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-21 Jonathan Bader , Edgar Blumenthal , Marten Eckardt , Justus Krebs , Joel Witzke , Xemena Wysokinska , Haci Ismail Aslan , Odej Kao

In online makespan minimization a sequence of jobs $\sigma = J_1,..., J_n$ has to be scheduled on $m$ identical parallel machines so as to minimize the maximum completion time of any job. We investigate the problem with an essentially new…

Data Structures and Algorithms · Computer Science 2013-04-23 Susanne Albers , Matthias Hellwig

Large batch jobs such as Deep Learning, HPC and Spark require far more computational resources and higher cost than conventional online service. Like the processing of other time series data, these jobs possess a variety of characteristics…

Machine Learning · Computer Science 2020-10-13 Peng Gao

The parallel machine scheduling problem has been a popular topic for many years due to its theoretical and practical importance. This paper addresses the robust makespan optimization problem on unrelated parallel machine scheduling with…

Optimization and Control · Mathematics 2020-10-23 Chutong Gao , Weihao Wang , Leyuan Shi

We address the stochastic transmission expansion planning (STEP) problem under uncertainty in renewable generation capacity and demand. STEP's objective is to minimize total transmission investment and generation costs. To tackle the…

Optimization and Control · Mathematics 2026-05-12 Yure Rocha , Teobaldo Bulhões , Anand Subramanian , Joaquim Dias Garcia

Machine learning (ML) surrogate models are increasingly used in engineering analysis and design to replace computationally expensive simulation models, significantly reducing computational cost and accelerating decision-making processes.…

Machine Learning · Statistics 2025-07-22 Xiaoping Du

In networks, there are often more than one source of capacity. The capacities can be permanently or temporarily owned by the decision maker. Depending on the nature of sources, we identify the permanent capacity, spot market capacity and…

Optimization and Control · Mathematics 2017-02-10 Majid Taghavi , Kai Huang

Organizations around the world schedule jobs (programs) regularly to perform various tasks dictated by their end users. With the major movement towards using a cloud computing infrastructure, our organization follows a hybrid approach with…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-23 Sunandita Patra , Mehtab Pathan , Mahmoud Mahfouz , Parisa Zehtabi , Wided Ouaja , Daniele Magazzeni , Manuela Veloso

This paper addresses the challenge of model uncertainty in quantitative finance, where decisions in portfolio allocation, derivative pricing, and risk management rely on estimating stochastic models from limited data. In practice, the…

Computational Finance · Quantitative Finance 2025-06-10 Hans Buehler , Blanka Horvath , Yannick Limmer , Thorsten Schmidt
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