We consider a two-node tandem queueing network in which the upstream queue is M/G/1 and each job reuses its upstream service requirement when moving to the downstream queue. Both servers employ the first-in-first-out policy. We investigate the amount of work in the second queue at certain embedded arrival time points, namely when the upstream queue has just emptied. We focus on the case of infinite-variance service times and obtain a heavy traffic process limit for the embedded Markov chain.

Additional Metadata
Keywords Feller process, Infinite variance, Process limit, Tandem queue
Persistent URL dx.doi.org/10.1007/s11134-017-9560-z
Journal Queueing Systems
Gromoll, H.C, Terwilliger, B, & Zwart, A.P. (2017). Heavy traffic limit for a tandem queue with identical service times. Queueing Systems, 1–29. doi:10.1007/s11134-017-9560-z