Journal article
Queues with waiting time dependent service
Motivated by service levels in terms of the waiting-time distribution seen, for instance, in call centers, we consider two models for systems with a service discipline that depends on the waiting time. The first model deals with a single server that continuously adapts its service rate based on the waiting time of the first customer in line.
In the second model, one queue is served by a primary server which is supplemented by a secondary server when the waiting of the first customer in line exceeds a threshold. Using level crossings for the waiting-time process of the first customer in line, we derive steady-state waiting-time distributions for both models.
The results are illustrated with numerical examples.
Language: | English |
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Publisher: | Springer US |
Year: | 2011 |
Pages: | 61-78 |
Journal subtitle: | Theory and Applications |
ISSN: | 15729443 and 02570130 |
Types: | Journal article |
DOI: | 10.1007/s11134-011-9225-2 |
ORCIDs: | Nielsen, Bo Friis |