A Computational Approach for Evaluating the Transient Behaviour of M/M (a, b)/1 Bulk Service Queueing System with Working Vacation

2021 ◽  
pp. 46-61
Author(s):  
S. Shanthi ◽  
A. Muthu Ganapathi Subramanian ◽  
Gopal Sekar
Keyword(s):  
Queueing System ◽  
Computational Approach ◽  
Working Vacation ◽  
Transient Behaviour ◽  
Bulk Service

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

scholarly journals A queueing system with single arrival bulk service and single departure

2000 ◽  
Vol 31 (2-3) ◽  
pp. 99-108 ◽  
Author(s):  
A. Krishnamoorthy ◽  
P.V. Ushakumari
Keyword(s):  
Queueing System ◽  
Bulk Service

Computation of the stationary distribution of the queue size in an M/G/1 queueing system with variable service rate

1980 ◽  
Vol 17 (2) ◽  
pp. 515-522 ◽  
Author(s):  
A. Federgruen ◽  
H. C. Tijms
Keyword(s):  
Stationary Distribution ◽  
Queueing System ◽  
Computational Approach ◽  
Service Rate ◽  
Queue Size ◽  
Stationary Probabilities

This paper presents a simple and computationally tractable method which recursively computes the stationary probabilities of the queue size in an M/G/1 queueing system with variable service rate. For each service two possible service types are available and the service rule is characterized by two switch-over levels. The computational approach discussed in this paper can be applied to a variety of queueing problems.

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