Delay-Join the Shortest Queue Routing for a Parallel Queueing System with Removable Servers

We introduce a new class of policies called “delay-join the shortest queue (delay-JSQ)” for use in parallel processing networks with removable servers. When jobs arrive to the system while all servers are on, jobs should be routed to the shortest queue. However, when servers are off, they take a random time to turn back on, which we allow to occur only when the number of jobs in each of the nonempty queues exceeds a fixed threshold. This new …