A Dynamic Non-preemptive Priority Queueing Model with Two Types of Customers

Author(s):  
Srinivas R. Chakravarthy
2010 ◽  
Vol 2 (1) ◽  
pp. 38-41
Author(s):  
Charan Jeet Singh

This investigation deals with two levels, single server preemptive priority queueing model with discouragement behaviour (balking and reneging) of customers. Arrivals to each level are assumed to follow a Poisson process and service times are exponentially distributed. The decision to balk / renege is made on the basis of queue length only. Two specific forms of balking behaviour are considered. The system under consideration is solved by using a finite difference equation approach for solving the governing balance equations of the queueing model, with infinite population of level 1 customer. The steady state probability distribution of the number of customers in the system is obtained.


2018 ◽  
Vol 12 (3) ◽  
pp. 645-654
Author(s):  
V. S. S. Yadavalli ◽  
Diatha Krishna Sundar ◽  
Swaminathan Udayabaskaran ◽  
C. T. Dora Pravina

Biometrika ◽  
1961 ◽  
Vol 48 (1-2) ◽  
pp. 57-63 ◽  
Author(s):  
C. R. HEATHCOTE

Biometrika ◽  
1961 ◽  
Vol 48 (1/2) ◽  
pp. 57 ◽  
Author(s):  
C. R. Heathcote

1986 ◽  
Vol 33 (2) ◽  
pp. 237-243 ◽  
Author(s):  
R. Sivasamy

In this paper a single server preemptive priority queueing system, consisting of two types of units, with unlimited Poisson inputs and exponential service time distributions, is studied. The higher priority units are served in batches according to a general bulk service rule and they have preemptive priority over lower priority units. Steady state queue length distributions, stability condition and the mean queue lengths are obtained.


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