Tighter Approximated MILP Formulations for Unit Commitment Problems
By Antonio Frangioni, Claudio Gentile, Fabrizio Lacalandra. IEEE Transactions on Power Systems, 2009
262 citations recorded by the source corpus.
Subfields: Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/5ba9c8456706f638ad9d9292ebed607fe5835900
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Electrical and Electronic Engineering
- João Pedro Pedroso
- Ana Viana
- Germán Morales-España
- Andrés Ramos
- Jesús M. Latorre
- Claudia D'Ambrosio
- Miguel F. Anjos
- Anthony Vannelli
Citations in the corpus
- A new MILP based approach for unit commitment in power production planning (2013, methodology): “In [20] the authors proposed a MILP formulation in which the ‘‘perspective cuts’’ concept (a family of valid inequalities) is used to approximate the non-linear objective function; according to the authors, this improves the solver’s effectiveness and efficiency.”
- Recent Advances in Mathematical Programming with Semi-continuous Variables and Cardinality Constraint (2013, background): “More realistic constraints can be further attached to the above basic formulation (see [25]).”
- An overview on mathematical programming approaches for the deterministic unit commitment problem in hydro valleys (2017, methodology): “Using this technique, Frangioni and Gentile [53] propose a perspective reformulation that tightens the mixed integer programming formulation of the general UC problem with quadratic cost curves, making use of a crucial class of valid inequalities called the perspective cuts [50].”
- Tight Mixed Integer Linear Programming Formulations for the Unit Commitment Problem (2012, background): “proximation, called perspective cuts, are given in [14] and [5].”
- Tight and Compact MILP Formulation for the Thermal Unit Commitment Problem (2013, background): “In [22], a strong formulation of the minimum up/down time constraints is proposed; in [23], a tighter linear approximation for quadratic generation costs is described; the work in [19] presents a new class of inequalities giving a tighter description of the feasible operating schedules for generator”
- A Tighter Piecewise Linear Approximation of Quadratic Cost Curves for Unit Commitment Problems (2011, methodology): “The equipartition (2)–(3) for piecewise linear approximations of QCCs will inevitably introduce a certain level of inaccuracy into UC problems.”