N-policy for M/Hk/1 system with unreliable server and setup

摘要

In this investigation, we study an M/H_k/1 queue with a unreliable changeable server with state dependent rate and setup under N-policy. Arrival of the customers follows Poisson distribution dependent upon the server's state. The service of the customer starts only when at least N customers are there in the system and turns off when system becomes empty. Queue size distribution is obtained using Generating function method. We derive cost function in term of cost elements related to different situations and determine the optimal operating policy. Sensitivity exploration has been done in order to explore the outcome of dissimilar parameters on cost incurred, threshold level and other indices.