Finite-Length Analysis of Frameless ALOHA with Multi-User Detection
  In this paper we present a finite-length analysis of frameless ALOHA for a k multi-user detection scenario, i.e., assuming the receiver can resolve collisions of size k or smaller. The analysis is obtained via a dynamical programming approach, and employed to optimize the scheme's performance. We also assess the optimized performance as function of k. Finally, we verify the presented results through Monte Carlo simulations. 
Francisco Lazaro, Cedomir Stefanovic
cs.IT math.IT