| Summary: | 碩士 === 國立中興大學 === 應用數學研究所 === 82 === This thesis studies the optimal control N-policy of a removable
service station in an M/Eκ/1 queueing systems with infinite
and finite capacities, respectively, under steady-state
conditions. The N-policy is to turn the service station on when
the queue size reaches N which is a positive integer, and turn
it off when the system is empty. We develop the steady-state
characteristics of the infinite capacity and finite capacity
systems such as the probability distributions of the number of
customers in the system, the expected number of customers in
the system, and so on. The controllable M/Eκ/1 queueing system
generalizes the ordinary M/M/1 queueing system, the ordinary M/E
κ/1 queueing system, and the controllable M/M/1 queueing
system. We derive the total expected cost functions per unit
time, and determine the optimal value of the control parameter
N, say N*, in order to minimize the cost functions for these
two systems.
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