Bandwidth Allocation in Networks: A Single Dual Update Subroutine for Multiple Objectives

  • Sung-woo Cho
  • Ashish Goel
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3405)


We study the bandwidth allocation problem

Maximize U(x), subject to

Axc; x ≥ 0

where U is a utility function, x is a bandwidth allocation vector, and Axc represent the capacity constraints. We consider the class of canonical utility functions, consisting of functions U that are symmetric, non-decreasing, concave, and satisfy U(0) = 0. We present a single dual update subroutine that results in a primal solution which is a logarithmic approximation, simultaneously, for all canonical utility functions. The dual update subroutine lends itself to an efficient distributed implementation.

We then employ the fractional packing framework to prove that at most O(m log m) iterations of the dual update subroutine are required; here m is the number of edges in the network.


Utility Function Dual Problem Approximation Ratio Packing Problem Bandwidth Allocation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Sung-woo Cho
    • 1
  • Ashish Goel
    • 2
  1. 1.Department of Computer ScienceUniversity of Southern
  2. 2.Department of Management Science and Engineering and (by courtesy) Computer ScienceStanford University 

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