A polling system whose stability region depends on the whole distribution of service times

作者：Chernova Natalia^*; Foss Sergey; Kim Bara

来源：Operations Research Letters, 2013, 41(2): 188-190.

DOI：10.1016/j.orl.2013.01.001

• Polling system
• Adaptive limited and exhaustive service disciplines
• Stability conditions
• Foster criterion

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 primitives and also on a certain exponential moment of the service-time distribution in one of the queues. The latter parameter cannot be determined, in general, in terms of any finite number of moments.