Interrelationship between randomized F-policy and randomized N-policy queues.

This paper considers two randomized control policies. One is (p, F)-policy queue which deals with the issue of randomized controlling arrivals to a queueing system and the server requires a start-up time before allowing customers to enter the system. Another is (q, N)-policy queue which considers the common issue of controlling service in a queueing system randomly, and the server requires a start-up time before providing service. The steady-state probability distribution of the system size and system performances measures are developed for both queues. In addition, we uncover an interrelationship between the (p, F)- and (q, N)-policy M/M/1/K queues by a series of propositions. The advantage created through interrelationship is that the solution of one queue has been derived, which assists us in obtaining that of the other queue easily. Finally, numerical results are presented for illustration purposes. [ABSTRACT FROM AUTHOR]