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/

Zendy Plus

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

Zendy Tools

Zendy Open

A large-scale service system with multiple customer classes and multipleserver pools is considered, with the mean service time depending both on thecustomer class and server pool. The allowed activities (routing choices) form atree (in the graph with vertices being both customer classes and server pools).We study the behavior of the system under a {\em Leaf Activity Priority} (LAP)policy, introduced in [17]. An asymptotic regime is considered, where thearrival rate of customers and number of servers in each pool tend to infinityin proportion to a scaling parameter $r$, while the overall system load remainsstrictly subcritical. We prove tightness of diffusion-scaled (centered at theequilibrium point and scaled down by $r^{-1/2}$) invariant distributions. As aconsequence, we obtain a limit interchange result: the limit ofdiffusion-scaled invariant distributions is equal to the invariant distributionof the limiting diffusion process.

Diffusion scale tightness of invariant distributions of a large-scale flexible service system