1Asstt. Prof., Dept. of Applied Sciences, H.I.E.T., Kaithal-136027 (Haryana), India
2Prof. (Retd.), CCS, Haryana Agricultural University, Hisar – India
3Prof. & Head, Dept. of Mathematics, M.M. Engg. College, Mullana (Ambala)- India
Online published on 10 June, 2013.
This paper considers the most appropriate & more general queuing model in respect of customers which are allowed to leave the system at any stage with or without getting service. The paper considers the steady-state behavior of the queuing processes when M service channels in series, are linked with N non-serial channels having balking & reneging phenomenon, wherein:
Each of M service channels has identical multiple parallel channels.
Poisson arrivals & exponential service times are followed.
The service discipline follows SIRO rule (service in random order) instead of FIFO rule (first in first out).
The customer becomes impatient in the queue after sometime and may leave the system without getting service and can renege due to urgent message.
Waiting space is infinite.
Poisson stream, Reneging, Balking, Traffic intensity, Steady-state, Parallel channels, Urgent message
