Abstract
In this letter, 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 a function of $k$ . Finally, we verify the presented results through Monte Carlo simulations.
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