New results on resource sharing problems with random agent arrivals and an application to economic dispatch in power systems

We consider linear resource sharing problems with multiple agents. Agents are heterogeneous, with heterogeneity modelled by a tuple of parameters taking value according to an underlying probability distribution, and share a fixed resource amount. We provide an evaluation of a vital indicator for the...

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Main Authors: Falsone, A, Margellos, K, Zizzo, J, Prandini, M, Garatti, S
Format: Conference item
Language:English
Published: IEEE 2022
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author Falsone, A
Margellos, K
Zizzo, J
Prandini, M
Garatti, S
author_facet Falsone, A
Margellos, K
Zizzo, J
Prandini, M
Garatti, S
author_sort Falsone, A
collection OXFORD
description We consider linear resource sharing problems with multiple agents. Agents are heterogeneous, with heterogeneity modelled by a tuple of parameters taking value according to an underlying probability distribution, and share a fixed resource amount. We provide an evaluation of a vital indicator for the correct operation of the agents, namely, the probability that the optimal resource share alters in case of a new agent arrival. We view this problem under a data driven lens, and provide a purely a-posteriori and prior-independent characterization of the above mentioned probability by exploiting recent developments in the so called scenario approach theory. The proposed framework is demonstrated on an economic dispatch example in power systems, where agents can be thought of as generating units participating in the power market.
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spelling oxford-uuid:ca29522d-a45a-4aff-b34c-6b95d210e8862022-03-27T07:05:22ZNew results on resource sharing problems with random agent arrivals and an application to economic dispatch in power systemsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:ca29522d-a45a-4aff-b34c-6b95d210e886EnglishSymplectic ElementsIEEE2022Falsone, AMargellos, KZizzo, JPrandini, MGaratti, SWe consider linear resource sharing problems with multiple agents. Agents are heterogeneous, with heterogeneity modelled by a tuple of parameters taking value according to an underlying probability distribution, and share a fixed resource amount. We provide an evaluation of a vital indicator for the correct operation of the agents, namely, the probability that the optimal resource share alters in case of a new agent arrival. We view this problem under a data driven lens, and provide a purely a-posteriori and prior-independent characterization of the above mentioned probability by exploiting recent developments in the so called scenario approach theory. The proposed framework is demonstrated on an economic dispatch example in power systems, where agents can be thought of as generating units participating in the power market.
spellingShingle Falsone, A
Margellos, K
Zizzo, J
Prandini, M
Garatti, S
New results on resource sharing problems with random agent arrivals and an application to economic dispatch in power systems
title New results on resource sharing problems with random agent arrivals and an application to economic dispatch in power systems
title_full New results on resource sharing problems with random agent arrivals and an application to economic dispatch in power systems
title_fullStr New results on resource sharing problems with random agent arrivals and an application to economic dispatch in power systems
title_full_unstemmed New results on resource sharing problems with random agent arrivals and an application to economic dispatch in power systems
title_short New results on resource sharing problems with random agent arrivals and an application to economic dispatch in power systems
title_sort new results on resource sharing problems with random agent arrivals and an application to economic dispatch in power systems
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AT margellosk newresultsonresourcesharingproblemswithrandomagentarrivalsandanapplicationtoeconomicdispatchinpowersystems
AT zizzoj newresultsonresourcesharingproblemswithrandomagentarrivalsandanapplicationtoeconomicdispatchinpowersystems
AT prandinim newresultsonresourcesharingproblemswithrandomagentarrivalsandanapplicationtoeconomicdispatchinpowersystems
AT garattis newresultsonresourcesharingproblemswithrandomagentarrivalsandanapplicationtoeconomicdispatchinpowersystems