3 problems

Stability conjecture. The tail-index results should be valid whenever the original fork-join model is stable.

Consider the partial fork-join systems studied in the paper, with replication and random server slowdowns, and let asymptotic optimality refer to achieving the minimum asymptotic d…

Let $W_n^q$ denote the queueing delay under the policies considered, with $n$ the number of tasks per job. In the analyzed regimes, $W_n^q$ converges to zero as $n\to\infty$, eithe…