Recently, Guan, Pan, and Zohu presented a MIP model for the thermal single-unit commitment claiming that provides an integer feasible solution for any convex cost function. In this note we provide a counterexample to this statement and we produce evindence that the perspective function is needed for this aim.

A counterexample to an exact extended formulation for the single-unit commitment problem

Tiziano Bacci;Antonio Frangioni;Claudio Gentile
2019

Abstract

Recently, Guan, Pan, and Zohu presented a MIP model for the thermal single-unit commitment claiming that provides an integer feasible solution for any convex cost function. In this note we provide a counterexample to this statement and we produce evindence that the perspective function is needed for this aim.
2019
Istituto di Analisi dei Sistemi ed Informatica ''Antonio Ruberti'' - IASI
Unit Commitment
Mixed Integer Nonlinear Programming
Perspective Function
Exact formulation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/364624
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