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Analysis of Three-State Retrial Queueing System with Catastrophe having Two Non-Identical Parallel Servers
Abstract
This research discusses a retrial queueing system with catastrophe having two nonidentical parallel servers. Primary and secondary arrivals follow Poisson processes. Service times are exponentially distributed with different service rates. Catastrophe occurs on busy servers following Poisson process. Servers are sent for repair after failure. The repair times are also exponentially distributed. Time dependent probabilities for exact number of arrivals (in the system), number of departed units (after taking service from the system) and number of customers (in the orbit) with both, one or none servers busy are obtained recursively. The probabilities of the servers being under repair are also obtained. Verification of results is given. Numerical results are obtained and represented graphically.
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