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arxivmath.OCeess.SY2026-07-21Cited by 0

Optimization models and algorithms for the Unit Commitment problem

Javal Vyas, Carl Laird, Ignacio E. Grossmann, Ricardo M. Lima, Iiro Harjunkoski, Jan Poland

The unit commitment problem determines the optimal strategy to meet the electricity demand at minimum cost by committing power generation units at each point of time. Solving the unit commitment problem gives rise to a challenging optimization problem due to its combinatorial complexity and potentially long solution time requirements. Our proposed solution approach utilizes a decomposition method in conjunction with alternative models from the EGRET library. Results of this decomposition approach tested against four benchmarking systems show that significant computational speed ups are achieved.

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arxivmath.OCeess.SY2026-07-13Cited by 1

Sparse Robust Optimal Control in Continuous-Time: A Computationally Viable Approach

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This article presents a novel, numerically viable algorithm for solving sparse robust optimal control problems in continuous time. We consider a constrained linear noisy system governed by an ordinary differential equation (ODE), with an $L^1$-type objective function in line with…

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