Variant working vacation Markovian queue with second optional service, unreliable server and retention of reneged customers

2021 ◽  
Vol 19 (1) ◽  
pp. 45
Author(s):  
Vijaya Laxmi Pikkala ◽  
Girija Bhavani Edadasari
Keyword(s):  
Working Vacation ◽  
Unreliable Server ◽  
Markovian Queue ◽  
Optional Service ◽  
Second Optional Service ◽  
Retention Of Reneged Customers

scholarly journals Impatient customers in Markovian queue with Bernoulli feedback and waiting server under variant working vacation policy

2020 ◽  
Vol 30 (4) ◽  
Author(s):  
Amina Angelika Bouchentouf ◽  
Lahcene Yahiaoui ◽  
Mokhtar Kadi ◽  
Shakir Majid
Keyword(s):  
Queueing System ◽  
Cost Model ◽  
Probability Generating Function ◽  
Steady State Solution ◽  
Stochastic Decomposition ◽  
Single Server ◽  
Working Vacation ◽  
Bernoulli Feedback ◽  
Markovian Queue ◽  
Retention Of Reneged Customers

This paper deals with customers’ impatience behaviour for single server Markovian queueing system under K-variant working vacation policy, waiting server, Bernoulli feedback, balking, reneging, and retention of reneged customers. Using probability generating function (PGF) technique, we obtain the steady-state solution of the system. In addition, we prove the stochastic decomposition properties. Useful performance measures of the considered queueing system are derived. A cost model is developed. Then, the parameter optimisation is carried out numerically, using quadratic fit search method (QFSM). Finally, numerical examples are provided in order to visualize the analytical results.

Optimal randomized control policy of an unreliable server system with second optional service and startup

2008 ◽  
Vol 25 (8) ◽  
pp. 783-800 ◽  
Author(s):  
Dong‐Yuh Yang ◽  
Kuo‐Hsiung Wang ◽  
Jau‐Chuan Ke ◽  
Wen Lea Pearn
Keyword(s):  
Control Policy ◽  
Unreliable Server ◽  
Optional Service ◽  
Second Optional Service ◽  
Randomized Control ◽  
Server System
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