Network iso-elasticity and weighted α-fairness

S.C. Borst, N.S. Walton, A.P. Zwart

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
3 Downloads (Pure)


When a communication network’s capacity increases, it is natural to want the bandwidth allocated to increase to exploit this capacity. But, if the same relative capacity increase occurs throughout the network, it is also natural to want each user to see the same relative benefit, so the bandwidth allocated remains proportional. We will be interested in bandwidth allocations which scale in this iso-elastic manner and, also, maximize a utility function. In this paper, we present results that show, in many settings, the only iso-elastic utility functions are weighted aa-fair utility functions, which have gained wide popularity in the networking literature. Hence, a control protocol that is robust to the relative increases in network capacity and usage ought to allocate bandwidth in order to maximize a weighted a-fair utility function. Keywords: Resource allocation; Capacity scaling; Iso-elasticity; a-fairness
Original languageEnglish
Pages (from-to)995-1000
Number of pages6
JournalPerformance Evaluation
Issue number11
Publication statusPublished - 2013


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