Steady-State Analysis of Unreliable Preemptive Priority Retrial Queue with Feedback and Two-Phase Service Under Bernoulli Vacation

2018 ◽  
pp. 425-435
Author(s):  
S. Yuvarani ◽  
M. C. Saravanarajan
Keyword(s):  
Steady State ◽  
Retrial Queue ◽  
Preemptive Priority ◽  
Two Phase ◽  
Steady State Analysis ◽  
Bernoulli Vacation ◽  
State Analysis

Analysis of Feedback Retrial Queue with Starting Failure and Server Vacation

2016 ◽  
pp. 71-96
Author(s):  
K. Sathiya Thiyagarajan ◽  
G. Ayyappan
Keyword(s):  
Steady State ◽  
Performance Measures ◽  
Generating Functions ◽  
Retrial Queue ◽  
Laplace Transforms ◽  
Time Dependent ◽  
Steady State Analysis ◽  
Starting Failure ◽  
Dependent Probability ◽  
Bernoulli Vacation

In this chapter we discusses a batch arrival feedback retrial queue with Bernoulli vacation, where the server is subjected to starting failure. Any arriving batch finding the server busy, breakdown or on vacation enters an orbit. Otherwise one customer from the arriving batch enters a service immediately while the rest join the orbit. After the completion of each service, the server either goes for a vacation with probability or may wait for serving the next customer. Repair times, service times and vacation times are assumed to be arbitrarily distributed. The time dependent probability generating functions have been obtained in terms of their Laplace transforms. The steady state analysis and key performance measures of the system are also studied. Finally, some numerical illustrations are presented.

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