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Erschienen in: Annals of Telecommunications 1-2/2012

01.02.2012

On the optimality of max–min fairness in resource allocation

verfasst von: Angelo Coluccia, Alessandro D’Alconzo, Fabio Ricciato

Erschienen in: Annals of Telecommunications | Ausgabe 1-2/2012

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Abstract

In this work, a basic resource allocation (RA) problem is considered, where a fixed capacity must be shared among a set of users. The RA task can be formulated as an optimization problem, with a set of simple constraints and an objective function to be minimized. A fundamental relation between the RA optimization problem and the notion of max–min fairness is established. A sufficient condition on the objective function that ensures the optimal solution is max–min fairness is provided. Notably, some important objective functions like least squares and maximum entropy fall in this case. Finally, an application of max–min fairness for overload protection in 3G networks is considered.

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Fußnoten
1
Several other iterative or exact algorithms exist, see e.g., [5, 11, 13, 17, 18].
 
2
This definition is consistent because due to constraint (2) it follows that \(0<\frac{c_{\!j}}{C} <1\) and \(\sum_j \frac{c_{\!j}}{C} =1\).
 
3
Obviously, from Theorem 2 we know that f PF and f ME yields the same max–min fair allocation as f LS.
 
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Metadaten
Titel
On the optimality of max–min fairness in resource allocation
verfasst von
Angelo Coluccia
Alessandro D’Alconzo
Fabio Ricciato
Publikationsdatum
01.02.2012
Verlag
Springer-Verlag
Erschienen in
Annals of Telecommunications / Ausgabe 1-2/2012
Print ISSN: 0003-4347
Elektronische ISSN: 1958-9395
DOI
https://doi.org/10.1007/s12243-011-0246-y

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