Queueing Systems

This paper aims to provide several further results for a queueing model recently discussed by Chen et al. (Queueing Syst 95:331–378, 2020), i.e. the Markovian bulk-arrival and bulk-service queue incorporating the general state-dependent control.

We consider open multi-class queueing networks with general arrival processes, general processing time sequences and Bernoulli routing. The network is assumed to be operating under an arbitrary work-conserving scheduling policy that makes the …

A single server commences its service at time zero every day. A random number of customers decide when to arrive to the system so as to minimize the waiting time and tardiness costs. The costs are proportional to the waiting time and the tardiness …

The service sector is an indisputable and fundamental pillar of today’s business world, encompassing nearly 80 percent of the workforce in the USA. Service operations management has been a fertile research area addressing strategic, tactical and …

We consider the M/D/1 retrial queueing system with constant retrial times, which makes up a natural abstraction for optical fibre delay line buffers. Drawing on a time-discretisation approach and on an equivalence with polling systems, we find …