Markovian working vacation queue with imperfect service, balking and retrial

2021 ◽  
Author(s):  
Madhu Jain ◽  
Sibasish Dhibar ◽  
Sudeep Singh Sanga
Keyword(s):  
Working Vacation

scholarly journals Multi-server system with single working vacation

2009 ◽  
Vol 33 (7) ◽  
pp. 2967-2977 ◽  
Author(s):  
Chuen-Horng Lin ◽  
Jau-Chuan Ke
Keyword(s):  
Working Vacation ◽  
Multi Server ◽  
Server System

scholarly journals Decomposition of M/M/1 With Unreliable Service and a Working Vacation

2020 ◽  
Vol 9 (1) ◽  
pp. 63
Author(s):  
Joshua Patterson ◽  
Andrzej Korzeniowski
Keyword(s):  
Closed Form ◽  
Failure Rate ◽  
Waiting Time ◽  
Queue Length ◽  
Service Failure ◽  
Working Vacation ◽  
Stationary Queue Length ◽  
Stationary Waiting Time ◽  
Relationship Of ◽  
The Relationship

We use the stationary distribution for the M/M/1 with Unreliable Service and aWorking Vacation (M/M/1/US/WV) given explicitly in (Patterson & Korzeniowski, 2019) to find a decomposition of the stationary queue length N. By applying the distributional form of Little's Law the Laplace-tieltjes Transform of the stationary customer waiting time W is derived. The closed form of the expected value and variance for both N and W is found and the relationship of the expected stationary waiting time as a function of the service failure rate is determined.

scholarly journals Analysis of a Markovian queueing system with single working vacation and impatience of customers

2019 ◽  
Vol 1344 ◽  
pp. 012018
Author(s):  
P. Vijaya Laxmi ◽  
T. W. Kassahun ◽  
E. Girija Bhavani
Keyword(s):  
Queueing System ◽  
Working Vacation
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