Decay parameter for general stopped Markovian bulk-arrival and bulk-service queues

2021 ◽  
Author(s):  
Anyue Chen ◽  
Junping Li ◽  
Xiaohan Wu ◽  
Jing Zhang
Keyword(s):  
Decay Parameter ◽  
Bulk Service ◽  
Bulk Arrival

scholarly journals Markovian bulk-arrival and bulk-service queues with general state-dependent control

2020 ◽  
Vol 95 (3-4) ◽  
pp. 331-378 ◽  
Author(s):  
Anyue Chen ◽  
Xiaohan Wu ◽  
Jing Zhang
Keyword(s):  
General State ◽  
State Dependent ◽  
Bulk Service ◽  
Bulk Arrival

Controlled Markovian bulk-arrival and bulk-service queues with catastrophes

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

scholarly journals On a bulk queueing system with impatient customers

1998 ◽  
Vol 3 (6) ◽  
pp. 539-554 ◽  
Author(s):  
Lotfi Tadj ◽  
Lakdere Benkherouf ◽  
Lakhdar Aggoun
Keyword(s):  
Steady State ◽  
Queue Length ◽  
Queueing System ◽  
Impatient Customers ◽  
Ergodicity Condition ◽  
Bulk Service ◽  
Bulk Arrival ◽  
Steady State Probabilities ◽  
System Characteristics

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.

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