The steady-state solution of multiple parallel channels in series and non-serial servers with balking & reneging due to long queue and some urgent message
Journal Title: International Journal of Engineering, Science and Mathematics - Year 2011, Vol 1, Issue 5
Abstract
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.
Authors and Affiliations
Meenu Gupta, Man Singh and Deepak Gupta
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