7 problems

Let $X=\delta+Z$ be a CU service time, where $\delta\ge 0$ is constant and the support of the random variable $Z$ includes $0$. Under server-dependent scaling, consider the expecte…

Let $\operatorname{Bi-Modal}(B,\epsilon)$ be the service-time distribution with straggling magnitude $B$, and let $Y_{k:n}$ denote the job completion time for $k$ useful responses…

Let $n$ be the number of workers, let $Y_{k:n}$ denote the job completion time when the diversity/parallelism parameter is $k$, and consider a general CU service time under additiv…

An AMP routing algorithm attempts multiple atomic multi-path payment transactions, executing the payment only after enough successful attempts satisfy the full transfer value. Redu…

Let a microsaccade be a small, micro-fixational movement of the eye, and let dynamic redundancy mean redundant information generated through movement over time. Microsaccade dynami…

Let binocular vision denote the visual system's use of two eyes to collect and integrate information, and let static redundancy mean redundant information supplied by a fixed, nonm…

Square-root redundancy conjecture. This scheme has $O(\sqrt n)$ rescales, and its redundancy with respect to a piecewise stationary model with partition ${\mathcal S}$ is