A two-phase unreliable M/Ek/1 queueing system with server startup, N-policy, delayed repair and state dependent arrival rates
نویسنده
چکیده
We study a M/Ek/1 queueing model where the service is provided in two phases one by one in secession. The server operates N-policy. Customer’s arrival rate depends on the state of the server. The service mechanism breakdowns occur only during active service and repair process may not take place immediately due to non-availability of the repair facility. We derive the steady state solutions by using generating functions and calculate the mean system length. The total expected cost function is developed to determine the optimal threshold N at a minimum cost. Effect of the system parameters on the optimal threshold N is studied through numerical examples. AMS subject classification:
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