scholarly journals Commuting Matrices in the Queue Length and Sojourn Time Analysis of MAP/MAP/1 Queues

2014 ◽  
Vol 30 (4) ◽  
pp. 554-575 ◽  
Author(s):  
G. Horváth ◽  
B. Van Houdt ◽  
M. Telek
Keyword(s):  
Sojourn Time ◽  
Queue Length ◽  
Time Analysis ◽  
Commuting Matrices

The disasters queue with working breakdowns and impatient customers

2020 ◽  
Vol 54 (3) ◽  
pp. 815-825
Author(s):  
Mian Zhang ◽  
Shan Gao
Keyword(s):  
Size Distribution ◽  
Performance Measures ◽  
Sojourn Time ◽  
Queue Length ◽  
Slow Rate ◽  
System Size ◽  
Impatient Customers ◽  
Numerical Examples ◽  
The Mean ◽  
Mean Queue Length

We consider the M/M/1 queue with disasters and impatient customers. Disasters only occur when the main server being busy, it not only removes out all present customers from the system, but also breaks the main server down. When the main server is down, it is sent for repair. The substitute server serves the customers at a slow rate(working breakdown service) until the main server is repaired. The customers become impatient due to the working breakdown. The system size distribution is derived. We also obtain the mean queue length of the model and mean sojourn time of a tagged customer. Finally, some performance measures and numerical examples are presented.

A BMAP/SM/1 queueing system with Markovian arrival input of disasters

1999 ◽  
Vol 36 (03) ◽  
pp. 868-881
Author(s):  
Alexander Dudin ◽  
Shoichi Nishimura
Keyword(s):  
Sojourn Time ◽  
Queue Length ◽  
Time Distribution ◽  
Queueing System ◽  
Queuing System ◽  
Complicated System ◽  
Sojourn Time Distribution ◽  
Negative Arrivals

Disaster arrival in a queuing system with negative arrivals causes all customers to leave the system instantaneously. Here we obtain a queue-length and virtual waiting (sojourn) time distribution for the more complicated system BMAP/SM/1 with MAP input of disasters.

Queue length and waiting time analysis of a batch arrival queue with bilevel control

1998 ◽  
Vol 25 (3) ◽  
pp. 191-205 ◽  
Author(s):  
H.W. Lee ◽  
J.G. Park ◽  
B.K. Kim ◽  
S.H. Yoon ◽  
B.Y Ahn ◽  
...  
Keyword(s):  
Waiting Time ◽  
Queue Length ◽  
Batch Arrival ◽  
Time Analysis
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