A tight MIP formulation of the unit commitment problem with start-up and shut-down constraints

This paper provides the convex hull description of the single thermal Unit Commitment (UC) problem with the following basic operating constraints: (1) generation limits, (2) start-up and shut-down capabilities, and (3) minimum up and down times. The proposed constraints can be used as the core of an...

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Autores principales:	C. Gentile, G. Morales-España, A. Ramos
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2017
Materias:	90C11 90C57 90C90 Applied mathematics. Quantitative methods T57-57.97 Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/20335874ad3a49febec2eb25b8665fe8
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spelling	oai:doaj.org-article:20335874ad3a49febec2eb25b8665fe82021-12-02T05:00:59ZA tight MIP formulation of the unit commitment problem with start-up and shut-down constraints2192-440610.1007/s13675-016-0066-yhttps://doaj.org/article/20335874ad3a49febec2eb25b8665fe82017-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2192440621000782https://doaj.org/toc/2192-4406This paper provides the convex hull description of the single thermal Unit Commitment (UC) problem with the following basic operating constraints: (1) generation limits, (2) start-up and shut-down capabilities, and (3) minimum up and down times. The proposed constraints can be used as the core of any unit commitment formulation to strengthen the lower bound in enumerative approaches. We provide evidence that dramatic improvements in computational time are obtained by solving the self-UC problem and the network-constrained UC problem with the new inequalities for different case studies.C. GentileG. Morales-EspañaA. RamosElsevierarticle90C1190C5790C90Applied mathematics. Quantitative methodsT57-57.97Electronic computers. Computer scienceQA75.5-76.95ENEURO Journal on Computational Optimization, Vol 5, Iss 1, Pp 177-201 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	90C11 90C57 90C90 Applied mathematics. Quantitative methods T57-57.97 Electronic computers. Computer science QA75.5-76.95
spellingShingle	90C11 90C57 90C90 Applied mathematics. Quantitative methods T57-57.97 Electronic computers. Computer science QA75.5-76.95 C. Gentile G. Morales-España A. Ramos A tight MIP formulation of the unit commitment problem with start-up and shut-down constraints
description	This paper provides the convex hull description of the single thermal Unit Commitment (UC) problem with the following basic operating constraints: (1) generation limits, (2) start-up and shut-down capabilities, and (3) minimum up and down times. The proposed constraints can be used as the core of any unit commitment formulation to strengthen the lower bound in enumerative approaches. We provide evidence that dramatic improvements in computational time are obtained by solving the self-UC problem and the network-constrained UC problem with the new inequalities for different case studies.
format	article
author	C. Gentile G. Morales-España A. Ramos
author_facet	C. Gentile G. Morales-España A. Ramos
author_sort	C. Gentile
title	A tight MIP formulation of the unit commitment problem with start-up and shut-down constraints
title_short	A tight MIP formulation of the unit commitment problem with start-up and shut-down constraints
title_full	A tight MIP formulation of the unit commitment problem with start-up and shut-down constraints
title_fullStr	A tight MIP formulation of the unit commitment problem with start-up and shut-down constraints
title_full_unstemmed	A tight MIP formulation of the unit commitment problem with start-up and shut-down constraints
title_sort	tight mip formulation of the unit commitment problem with start-up and shut-down constraints
publisher	Elsevier
publishDate	2017
url	https://doaj.org/article/20335874ad3a49febec2eb25b8665fe8
work_keys_str_mv	AT cgentile atightmipformulationoftheunitcommitmentproblemwithstartupandshutdownconstraints AT gmoralesespana atightmipformulationoftheunitcommitmentproblemwithstartupandshutdownconstraints AT aramos atightmipformulationoftheunitcommitmentproblemwithstartupandshutdownconstraints AT cgentile tightmipformulationoftheunitcommitmentproblemwithstartupandshutdownconstraints AT gmoralesespana tightmipformulationoftheunitcommitmentproblemwithstartupandshutdownconstraints AT aramos tightmipformulationoftheunitcommitmentproblemwithstartupandshutdownconstraints
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A tight MIP formulation of the unit commitment problem with start-up and shut-down constraints

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