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We consider a system consisting of two not necessarily identical exponential servers having a common Poisson arrival process. Upon arrival, customers inspect the first queue and join it if it is shorter than some threshold n. Otherwise, they join the second queue. This model was dealt with, among others, by Altman et al. [Stochastic Models20 (2004) 149–172]. We first derive an explicit expression for the Laplace-Stieltjes transform of the distribution underlying the arrival (renewal) process to...
We consider a system consisting of two not necessarily identical
exponential servers having a common Poisson arrival process. Upon
arrival, customers inspect the first queue and join it if it is
shorter than some threshold n. Otherwise, they join the second
queue. This model was dealt with, among others, by Altman et al. [Stochastic Models20 (2004) 149–172].
We first derive an explicit
expression for the Laplace-Stieltjes transform of the distribution
underlying the arrival (renewal) process to...
We consider two parallel M/M/1 queues. The server at one of the queues
is subject to intermittent breakdowns. By the theory of dynamic
programming, we determine a threshold optimal policy which consists
to transfer, when it is necessary, the customers that arrive at the first
queue towards the second queue in order to minimize an instantaneous cost
depending of the two queue lengths.
In this paper, information theoretic methodology for system modeling is applied to investigate the probability density function of the busy period in vacation models operating under the -, - and -policies. The information about the density function is limited to a few mean value constraints (usually the first moments). By using the maximum entropy methodology one obtains the least biased probability density function satisfying the system’s constraints. The analysis of the three controllable...
In this paper, information theoretic methodology for
system modeling is applied to investigate the probability density function
of the busy period in M/G/1 vacation models operating under the N-, T- and
D-policies. The information about the density function is limited to a few
mean value constraints (usually the first moments). By using the maximum
entropy methodology one obtains the least biased probability density
function satisfying the system's constraints. The analysis of the three
controllable...
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