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...
Main Authors: | , , , , |
---|---|
Format: | Conference item |
Language: | English |
Published: |
IEEE
2022
|
_version_ | 1797094753935818752 |
---|---|
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. |
first_indexed | 2024-03-07T04:18:20Z |
format | Conference item |
id | oxford-uuid:ca29522d-a45a-4aff-b34c-6b95d210e886 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T04:18:20Z |
publishDate | 2022 |
publisher | IEEE |
record_format | dspace |
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 |
work_keys_str_mv | AT falsonea newresultsonresourcesharingproblemswithrandomagentarrivalsandanapplicationtoeconomicdispatchinpowersystems AT margellosk newresultsonresourcesharingproblemswithrandomagentarrivalsandanapplicationtoeconomicdispatchinpowersystems AT zizzoj newresultsonresourcesharingproblemswithrandomagentarrivalsandanapplicationtoeconomicdispatchinpowersystems AT prandinim newresultsonresourcesharingproblemswithrandomagentarrivalsandanapplicationtoeconomicdispatchinpowersystems AT garattis newresultsonresourcesharingproblemswithrandomagentarrivalsandanapplicationtoeconomicdispatchinpowersystems |