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From the 1 of 6 linked papers with an AI index.

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20242026
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6 papers

math.OC2026

The Value of Perfect Endpoint Forecasts for Offshore-Wind Thermal Firming

Arash Khojaste, Geoffrey Pritchard, Golbon Zakeri

The paper evaluates how a perfect future demand forecast at a single future hour can reduce offshore‑wind thermal firming costs, using a cyclostationary MDP model with quantile Fou…

math.OC2026

Risk-Averse Markov Decision Processes: Applications to Electricity Grid and Reservoir Management

Arash Khojaste, Jonathan Pearce, Daniela Pucci de Farias +2

This paper develops risk-averse models to support system operators in planning and operating the electricity grid under uncertainty from renewable power generation. We incorporate…

math.OC2025

Baseline hydropower generation offer curves

Jonathan Pearce, Arash Khojaste, Golbon Zakeri +1

We outline a mathematical model for pricing hydropower generation. The model involves a Markov decision process that reflects the seasonal variation in historical time series of wa…

math.OC2025

On monotone completion of risk markets: Limit results for incomplete risk markets

Iman Khajepour, Geoffrey Pritchard, Danny Ralph +1

We consider a competitive market with risk-averse participants. We assume that agents' risks are measured by coherent risk measures introduced by Artzner et al. (1999). Fundamental…

math.OC2024

Quantile Fourier regressions for decision making under uncertainty

Arash Khojaste, Geoffrey Pritchard, Golbon Zakeri

Weconsider Markov decision processes arising from a Markov model of an underlying natural phenomenon. Such phenomena are usually periodic (e.g. annual) in time, and so the Markov p…

eess.SY2024

Real-time Building Energy Storage Scheduling under Electrical Load Uncertainty: A Dynamic Markov Decision Process Approach with Comprehensive Analysis of Different Pricing Policies

Hussein Sharadga, Ahmad Dawahdeh, Golbon Zakeri +2

In response to the increasing deployment of battery storage systems for cost reduction and grid stress mitigation, this study presents the development of a new real-time Markov dec…