Journal of Applied and Natural Science 2(1):38-41(2010)
Priority queueing model with balking and reneging
Charan Jeet Singh
Department of Mathematics, Guru Nanak Dev University, Amritsar-143005 (Punjab), INDIA
Abstract : 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.
Keywords : Priority queue, Balking, Reneging, Finite difference, Queue size distribution