Publications
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FCFS in dual-class discrete-time queueing systems Ghent University
The problem with the FCFS server discipline in discrete-time queueing systems is that it doesn't actually say what happens if multiple customers enter the system at the same time, which in the discrete-time paradigm translates into 'during the same time-slot'. In other words, it doesn't specify in which order such customers are served? When we consider multiple types of customers, each requiring different service time distributions, the precise ...
Vehicle routing with dynamic travel times : a queueing approach KU Leuven University of Antwerp
Transportation is an important component of supply chain competitiveness since it plays a major role in the inbound, inter-facility, and outbound logistics. In this context, assigning and scheduling vehicle routes is a crucial management problem. In this paper, a vehicle routing problem with dynamic travel times due to potential traffic congestion is considered. The approach developed introduces mainly the traffic congestion component based on ...
Impact of class clustering and global FCFS service discipline on the system occupancy of a two-class queueing model with two dedicated servers Ghent University
This paper considers a continuous-time queueing model with two types (classes) of customers each having their own dedicated server with exponential service times. The system adopts a "global FCFS" service discipline, i.e., all arriving customers are accommodated in one single FCFS queue, regardless of their types. "Class clustering", i.e., customers of any given type may (or may not) have a tendency to "arrive back-to-back", is a concept that we ...
Influence of correlation in the arrival process on batch-service queueing systems Ghent University
Numerous studies demonstrate that correlation in the arrival process might have a significant influence on the behaviour of queueing systems. The impact of correlation on batch-service queueing systems, nevertheless, has attracted nearly no attention, and therefore constitutes the subject of this contribution. More specifically, we deduce various performance measures related to the buffer content in a system whereby the batch server only ...