Optimal Strategy Analysis of N-Policy M/M/1 Vacation Queueing System with Server Start-Up and Time-Out
Journal Title: International Journal of Engineering and Science Invention - Year 2017, Vol 6, Issue 11
Abstract
This paper analyzes the optimal strategy N-policy M/M/1 Queueing system with server Start-up and Time-Out. The arrivals are considered according to Poisson Process and service times are follows an exponential distribution. If the server finds queue is empty then the server waits for a fixed time ‘C’ is called server Time-Out. If one unit has arrived during this fixed time he does service to that unit, otherwise, after expiration of fixed time he takes vacation. He returns from the vacation, if the number of units accumulates ‘N’ in the queue then the server commences into startup mode then does the service. The distribution of the system size is derived through probability generating functions and obtained other system characteristics. Finally, the expected cost per unit time is considered to determine the optimal operating policy at a minimum cost. The sensitivity analysis has been carried out to examine the effect of different parameters in the system.
Authors and Affiliations
K. Satish Kumar K. Chandan, A. Ankamma Rao
Keywords
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