2012
DOI: 10.1016/j.comcom.2012.01.013
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Multiscale fairness and its application to resource allocation in wireless networks

Abstract: Abstract. Fair resource allocation is usually studied in a static context, in which a fixed amount of resources is to be shared. In dynamic resource allocation one usually tries to assign resources instantaneously so that the average share of each user is split fairly. The exact definition of the average share may depend on the application, as different applications may require averaging over different time periods or time scales. Our main contribution is to introduce new refined definitions of fairness that t… Show more

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Cited by 15 publications
(14 citation statements)
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“…Altman et al [4] consider the 𝛼-fairness problem in a dynamic resource allocation, and investigate fairness enforced at different time scales (instantaneous and long-term). They consider known utilities at the time of selecting an allocation in a stationary setting.…”
Section: Fairness In Dynamic Resource Allocationmentioning
confidence: 99%
See 1 more Smart Citation
“…Altman et al [4] consider the 𝛼-fairness problem in a dynamic resource allocation, and investigate fairness enforced at different time scales (instantaneous and long-term). They consider known utilities at the time of selecting an allocation in a stationary setting.…”
Section: Fairness In Dynamic Resource Allocationmentioning
confidence: 99%
“…, 𝐹 }. 4 We model a cache network at timeslot 𝑡 ∈ T as an undirected weighted graph 𝐺 𝑡 (C, E), where C ≜ {1, 2, . .…”
Section: Multi-agent Cache Networkmentioning
confidence: 99%
“…The signaling delays make the timescale separation assumption unrealistic. Generally, there have been two categories of studies that have examined the removal of the timescale separation assumption: (1) studies that use intermediate iterates as decisions and assume continuous underlying flows [47,48], and (2) studies that use a multi-timescale approach across different layers of the protocol stack [49,50]. More specifically, the study [47] showed that a β-fairness utility function can be maximized, while guaranteeing system stability, under the assumptions that the number of users per class follows a recurrent Markov Chain.…”
Section: Network Optimizationmentioning
confidence: 99%
“…As in [3], we have modified the α-fairness to remove discontinuity without affecting the optimal solution. Note also that optimization of the discounted sum of the α-fairness results in better instantaneous fairness [4]. Thus time-discounting is well suited to avoid imbalances on shorter time scales.…”
Section: Problem Formulationmentioning
confidence: 99%