3 papers
math.PR2016
Performance analysis of polling systems with retrials and glue periods
Murtuza Ali Abidini, Onno Boxma, Bara Kim +2
We consider gated polling systems with two special features: (i) retrials, and (ii) glue or reservation periods. When a type- customer arrives, or retries, during a glue period…
math.PR2012
A polling system whose stability region depends on a whole distribution of service times
Natalia Chernova, Sergey Foss, Bara Kim
We present an example of a single-server polling system with two queues and an adaptive service policy where the stability region depends on the expected values of all the primitiv…
math.PR2011
On the Stability of a Polling System with an Adaptive Service Mechanism
Natalia Chernova, Sergey Foss, Bara Kim
We consider a single-server cyclic polling system with three queues where the server follows an adaptive rule: if it finds one of queues empty in a given cycle, it decides not to v…