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The applicability of such models can be found in various industrial production sectors where it is common practice of using several machines simultaneously and then passing the product to various non serial machines for packing according to weight of the packet. We study the steadystate analysis of the present queuing system in the sense that: M service channels in series with balking and reneging are linked with N non-serial channels having reneging and balking phenomenon where each of M service channels has identical multiple parallel channels. The input process is Poisson and the service time distribution is exponential. The service discipline follows SIRO-rule (Service in random order) instead of FIFO-rule (first in first out). The customer becomes impatient in queue after sometime and may leave the system without getting service . The input process depends upon the queue size in serial and non-serial channels Waiting space is finite.