finite capacity queues
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2020 ◽  
Vol 21 (3) ◽  
pp. 1011-1022
Author(s):  
Chase P. Dowling ◽  
Lillian J. Ratliff ◽  
Baosen Zhang

2013 ◽  
Vol 123 (6) ◽  
pp. 2175-2227 ◽  
Author(s):  
Xiaoqian Tan ◽  
Charles Knessl ◽  
Yongzhi (Peter) Yang

2004 ◽  
Vol 41 (4) ◽  
pp. 1145-1156 ◽  
Author(s):  
Parijat Dube ◽  
Fabrice Guillemin ◽  
Ravi R. Mazumdar

In this paper we use the exit time theory for Lévy processes to derive new closed-form results for the busy period distribution of finite-capacity fluid M/G/1 queues. Based on this result, we then obtain the busy period distribution for finite-capacity queues with on–off inputs when the off times are exponentially distributed.


2004 ◽  
Vol 41 (04) ◽  
pp. 1145-1156 ◽  
Author(s):  
Parijat Dube ◽  
Fabrice Guillemin ◽  
Ravi R. Mazumdar

In this paper we use the exit time theory for Lévy processes to derive new closed-form results for the busy period distribution of finite-capacity fluid M/G/1 queues. Based on this result, we then obtain the busy period distribution for finite-capacity queues with on–off inputs when the off times are exponentially distributed.


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