A simple, scalable, and stable explicit rate allocation algorithm for MAX-MIN flow control with minimum rate guarantee

Song Chong, Sangho Lee, Sungho Kang

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


In this paper, we present a novel control-theoretic explicit rate (ER) allocation algorithm for the MAX-MIN flow control of elastic traffic services with minimum rate guarantee in the setting of the ATM available bit rate (ABR) service. The proposed ER algorithm is simple in that the number of operations required to compute it at a switch is minimized, scalable in that per-virtual-circuit (VC) operations including per-VC queueing, per-VC accounting, and per-VC state management are virtually removed, and stable in that by employing it, the user transmission rates and the network queues are asymptotically stabilized at a unique equilibrium point at which MAX-MIN fairness with minimum rate guarantee and target queue lengths are achieved, respectively. To improve the speed of convergence, we normalize the controller gains of the algorithm by the estimate of the number of locally bottle-necked VCs. The estimation scheme is also computationally simple and scalable since it does not require per-VC accounting either. We analyze the theoretical performance of the proposed algorithm and verify its agreement with the practical performance through simulations in the case of multiple bottleneck nodes. We believe that the proposed algorithm will serve as an encouraging solution to the MAX-MIN flow control of elastic traffic services, the deployment of which has been debated long due to their lack of theoretical foundation and implementation complexity.

Original languageEnglish
Pages (from-to)322-335
Number of pages14
JournalIEEE/ACM Transactions on Networking
Issue number3
Publication statusPublished - 2001 Jun

Bibliographical note

Funding Information:
Manuscript received April 23, 2000; revised August 22, 2000 and January 18, 2001; approved by IEEE/ACM TRANSACTIONS ON NETWORKING Editor J.-Y. LeBoudec. This work was supported in part by Korea Science and Engineering Foundation under Grant 98-0101-07-01-3 and by Samsung Electronics, Korea.

All Science Journal Classification (ASJC) codes

  • Software
  • Computer Science Applications
  • Computer Networks and Communications
  • Electrical and Electronic Engineering


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