A series of queues consists of a number of ·/M/1 queues arranged in a series order. Each queue has an infinite waiting room and a single exponential server. The rates of the servers may differ.

We consider the Δ(i)/G/1 queue, in which a total of n customers join a single-server queue for service. Customers join the queue independently after exponential times. We a consider heavy-tailed ...

Queueing theory provides a robust mathematical framework for analysing waiting lines, a critical aspect across sectors ranging from telecommunications and healthcare to manufacturing and ...

“We can use some fancy math to predict how long the line will get,” Keely Croxton of Ohio State says, then apply it to related problems. In response to a listener request, “Marketplace” host Kai ...