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Linear programs for resource sharing among heterogeneous agents: a probabilistic analysis of the maximum capacity in terms of number of agents

Abstract:

We consider a multi-agent resource sharing problem that can be represented by a linear program. The amount of resource to be shared is fixed, and each agent adds to the linear cost and constraint a term that depends on some randomly extracted parameters, thus modelling heterogeneity among agents. We study the probability that the arrival of a new agent does not affect the optimal value and the resource share of the other agents, which means that the system cannot accommodate the request of a ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1109/CDC.2017.8264226

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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author
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Name:
European Commission
Grant:
UnCoVerCPS 643921
Publisher:
Institute of Electrical and Electronics Engineers
Host title:
CDC 2017: 56th IEEE Conference on Decision and Control
Journal:
CDC 2017: 56th IEEE Conference on Decision and Control More from this journal
Publication date:
2018-01-23
Acceptance date:
2017-08-01
DOI:
Pubs id:
pubs:722818
UUID:
uuid:8cef5c1c-d8f9-4b10-af54-5c15cf22aee3
Local pid:
pubs:722818
Source identifiers:
722818
Deposit date:
2017-08-20

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