Pseudo-Polynomial Auction Algorithm for Nonlinear Resource Allocation

We study the problem of optimally assigning N divisible resources to M competing tasks. This is called the Nonlinear Resource Allocation Problem (RAP). Recently, we proposed a new algorithm, RAP Auction [1], which finds a near optimal solution in finite time. It works for monotonic convex cost functions and has a simple computation structure. In this paper, we propose an elegant extension which enables RAP Auction to have pseudo-polynomial complexity.