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
Keyword(s):  
Independent Control ◽  
Decay Properties ◽  
Bulk Service ◽  
Bulk Arrival

scholarly journals Decay properties and quasi-stationary distributions for stopped Markovian bulk-arrival and bulk-service queues

2010 ◽  
Vol 66 (3) ◽  
pp. 275-311 ◽  
Author(s):  
Anyue Chen ◽  
Junping Li ◽  
Zhenting Hou ◽  
Kai Wang Ng
Keyword(s):  
Stationary Distributions ◽  
Decay Properties ◽  
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.

scholarly journals Discrete-Time Bulk Queueing System with Variable Service Capacity Depending on Previous Service Time

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Yutae Lee
Keyword(s):  
Generating Function ◽  
Discrete Time ◽  
Service Time ◽  
Queue Length ◽  
Queueing System ◽  
Function Technique ◽  
Supplementary Variable ◽  
Service Capacity ◽  
Bulk Service ◽  
Bulk Arrival

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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