Analysis of finite-buffer bulk-arrival bulk-service queue with variable service capacity and batch-size-dependent service: MX/GYr/1/N

2013 ◽  
Vol 5 (3) ◽  
pp. 358 ◽  
Author(s):  
A. Banerjee ◽  
U.C. Gupta ◽  
K. Sikdar
Keyword(s):  
Batch Size ◽  
Finite Buffer ◽  
Service Capacity ◽  
Size Dependent ◽  
Bulk Service ◽  
Bulk Arrival

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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