159 research outputs found
Exact solution of a one-dimensional continuum percolation model
I consider a one dimensional system of particles which interact through a
hard core of diameter \si and can connect to each other if they are closer
than a distance . The mean cluster size increases as a function of the
density until it diverges at some critical density, the percolation
threshold. This system can be mapped onto an off-lattice generalization of the
Potts model which I have called the Potts fluid, and in this way, the mean
cluster size, pair connectedness and percolation probability can be calculated
exactly. The mean cluster size is S = 2 \exp[ \rho (d -\si)/(1 - \rho \si)] -
1 and diverges only at the close packing density \rho_{cp} = 1 / \si . This
is confirmed by the behavior of the percolation probability. These results
should help in judging the effectiveness of approximations or simulation
methods before they are applied to higher dimensions.Comment: 21 pages, Late
Superimposed Renewal Processes in Reliability
This paper reviews the existing literature on the superimposed renewal process, with its foci on probabilistic and statistical properties, statistical inference, and applications in reliability analysis and maintenance policy optimisation. It then proposes future research topics
Ресурсоэффективность в бурении скважин
В результате научно-технического прогресса возникают новые альтернативные способы использования ресурсов, добычи полезных ископаемых. В статье авторы рассматривают традиционный и инновационный методы бурения скважин, проводят сравнение и оценку этих методов с точки зрения ресурсоэффективности. Описывается электроимпульсный метод разрушения горных пород, разработанный учеными ТПУ
Analysis of systems of queues in parallel
http://deepblue.lib.umich.edu/bitstream/2027.42/4506/5/bac0514.0001.001.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/4506/4/bac0514.0001.001.tx
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