English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Fork-Join (FJ) queueing models capture the dynamics of system parallelizationunder synchronization constraints, for example, for applications such asMapReduce, multipath transmission and RAID systems. Arriving jobs are firstsplit into tasks and mapped to servers for execution, such that a job can onlyleave the system when all of its tasks are executed.  In this paper, we provide computable stochastic bounds for the waiting andresponse time distributions for heterogeneous FJ systems under generalparallelization benefit. Our main contribution is a generalized mathematicalframework for probabilistic server scheduling strategies that are essentiallycharacterized by a probability distribution over the number of utilizedservers, and the optimization thereof. We highlight the trade-off between thescaling benefit due to parallelization and the FJ inherent synchronizationpenalty. Further, we provide optimal scheduling strategies for arbitraryscaling regimes that map to different levels of parallelization benefit. Onenotable insight obtained from our results is that different applications withvarying parallelization benefits result in different optimal strategies.Finally, we complement our analytical results by applying them to variousapplications showing the optimality of the proposed scheduling strategies.

Optimizing Stochastic Scheduling in Fork-Join Queueing Models: Bounds and Applications