2 papers
math.PR2023
Asymptotic Optimality of the Speed-Aware Join-the-Shortest-Queue in the Halfin-Whitt Regime for Heterogeneous Systems
Sanidhay Bhambay, Burak Büke, Arpan Mukhopadhyay
The Join-the-Shortest-Queue (JSQ) load balancing scheme is known to minimise the average response time of jobs in homogeneous systems with identical servers. However, for {\em hete…
math.PR2022
Many-Server Queueing Systems with Heterogeneous Strategic Servers in Heavy Traffic
Burak Büke, Goncalo dos Reis, Vadim Platonov
In most service systems, the servers are humans who desire to experience a certain level of idleness. In call centers, this manifests itself as the call avoidance behavior, where s…