| Summary: | 碩士 === 國立中興大學 === 應用數學類 === 84 === This thesis studied the optimal control of the N-policy M/
H2/1 queueing system with both infinite capacity and finite
capacity under steady-statecondition. We assume that the service
times have the two types hyper-exponential distribution and the
interarrival times have the negative exponential distribution.
The N-policy is to turn the service station on whenN customers
are present in the system, turn it off when the system is empty.
We develop the steady-state characteristics of the system such
as the expectednumber of customers in the system and show that
the controllable M/H2/1 queueing system generalizes the ordinary
M/M/1 queueing system, the ordinaryM/H2/1 queueing system, and
the controllable M/M/1 queueing system. We con-struct the total
expected cost function per unit time to determine the
optimalvalue of the control variable N, say N*, so as to
minimise the total expectedcost for this system. Some numerical
results are presented when the system capacity is considered to
be either infinite or finite.
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