Decay properties of Markovian bulk-arrival and bulk-service queues with state-independent control

2014 ◽  
Vol 9 (4) ◽  
pp. 983-1000
Author(s):  
Lina Zhang ◽  
Junping Li
2010 ◽  
Vol 66 (3) ◽  
pp. 275-311 ◽  
Author(s):  
Anyue Chen ◽  
Junping Li ◽  
Zhenting Hou ◽  
Kai Wang Ng

2020 ◽  
Vol 95 (3-4) ◽  
pp. 331-378 ◽  
Author(s):  
Anyue Chen ◽  
Xiaohan Wu ◽  
Jing Zhang

2015 ◽  
Vol 45 (5) ◽  
pp. 527-538
Author(s):  
JunPing LI ◽  
LiNa ZHANG
Keyword(s):  

1998 ◽  
Vol 3 (6) ◽  
pp. 539-554 ◽  
Author(s):  
Lotfi Tadj ◽  
Lakdere Benkherouf ◽  
Lakhdar Aggoun

We consider a bulk arrival, bulk service queueing system. Customers are served in batches ofrunits if the queue length is not less thanr. Otherwise, the server delays the service until the number of units in the queue reaches or exceeds levelr. We assume that unserved customers may get impatient and leave the system. An ergodicity condition and steady-state probabilities are derived. Various system characteristics are also computed.


2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Yutae Lee

This paper considers a discrete-time bulk-arrival bulk-service queueing system with variable service capacity, where the service capacity varies depending on the previous service time. Using the supplementary variable method and the generating function technique, we obtain the queue length distributions at arbitrary slot boundaries and service completion epochs.


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