Izvorni znanstveni članak
Minimization of the blocking time of the unreliable Geo/G_D/1 queueing system
V. Bakeva
N. Kolev
Sažetak
In this paper we study the blocking time of an unreliable single-server
queueing system $Geo/G_D/1$. The service can be interrupted upon
explicit or implicit breakdowns. For the successful finish of the
service we use a special service discipline
dividing the pure service time $X$ (assumed to be a random variable
with known distribution) in subintervals with deterministically
selected time-points $0=t_0
t_{k+1},$ and making a copy at the end of each subinterval (if no
breakdowns occur during it) we derive the probability generating function of the blocking time of the server by a customer. As an application, we consider an unreliable system Geo/D/1 and the results is that the expected blocking time is minimized when the time-points t_0,t_1,... are equidistant. We determine the optimal number of copies and the length of the corresponding interval between two consecutive copies.
Ključne riječi
blocking time; breakdowns; discrete-time single-server unreliable queueing system; geometric distribution; minimization; service discipline
Hrčak ID:
1730
URI
Datum izdavanja:
20.6.1999.
Posjeta: 1.321 *