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Transmission-Constrained Unit Commitment

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Claudio Gambella, Jakub Marecek, Martin Mevissen, Jose Maria Fernandez Ortega, Sara Pezic Djukic, Mustafa Pezic

Optimization and Control · Submitted 25 Jun 2018

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We analyse finite convergence to the optimum of the MISDP and report promising computational results on a test case from the Canary Islands, Spain.

how it is stated · asserted 0.94 read the record →

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arXiv ID1806.09408 (version 1)
Pith IDW6PRIPY7, Pith's permanent record of this paper and its review
CitationClaudio Gambella, Jakub Marecek, Jose Maria Fernandez Ortega, Martin Mevissen, Mustafa Pezic, Sara Pezic Djukic. "Transmission-Constrained Unit Commitment." arXiv:1806.09408 (2018). https://pith.science/paper/W6PRIPY7
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,593 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.21 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.09 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

The unit commitment with transmission constraints in the alternating-current (AC) model is a challenging mixed-integer non-linear optimisation problem. We present an approach based on decomposition of a Mixed-Integer Semidefinite Programming (MISDP) problem into a mixed-integer quadratic (MIQP) master problem and a semidefinite programming (SDP) sub-problem. Between the master problem and the sub-problem, we pass novel classes of cuts. We analyse finite convergence to the optimum of the MISDP and report promising computational results on a test case from the Canary Islands, Spain.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The unit commitment with transmission constraints in the alternating-current (AC) model is a challenging mixed-integer non-linear optimisation problem. background 1.00 0.08 0.04 asserted 1.00
s1 We present an approach based on decomposition of a Mixed-Integer Semidefinite Programming (MISDP) problem into a mixed-integer quadratic (MIQP) master problem and a semidefinite programming (SDP) sub-problem. method 0.83 0.94 0.13 asserted 1.00
s2 Between the master problem and the sub-problem, we pass novel classes of cuts. method 0.71 0.93 0.06 asserted 0.99
s3 We analyse finite convergence to the optimum of the MISDP and report promising computational results on a test case from the Canary Islands, Spain. result 0.82 0.96 0.54 asserted 0.94

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from simulation or computation 0.94.

What was examined, and what was not

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not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

The unit commitment with transmission constraints in the alternating-current (AC) model is a challenging mixed-integer non-linear optimisation problem. We present an approach based on decomposition of a Mixed-Integer Semidefinite Programming (MISDP) problem into a mixed-integer quadratic (MIQP) master problem and a semidefinite programming (SDP) sub-problem. Between the master problem and the sub-problem, we pass novel classes of cuts. We analyse finite convergence to the optimum of the MISDP and report promising computational results on a test case from the Canary Islands, Spain.

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