Geodesic
Analysis of ports reliabilities
Dalʹnevostočnyj matematičeskij žurnal, Tome 8 (2008) no. 2, pp. 223-228

Voir la notice de l'article provenant de la source Math-Net.Ru

Asymptotical formulas for reliabilities of statical networks with unreliable arcs are obtained and their application to life time models is shown. Graphs with fixed initial and final nodes - ports are considered. Direct calculation of reliabilities for these models demands geometrically increasing volumes of arithmetical operations by numbers of arcs. Parameters of obtained asymptotical formulas are length of shortest way, minimal ability to handle of cross sections. Fast algorythms of these parameters calculations are constructed. These algorythms allow to analyze an influence of some elements parameters on reliability of complete network and to obtain conditions of invariance when this influence is absent. Narrow places of random networks are defined also. Recursively defined ports are constructed. These ports and structures are very interesting in modern surface physics, solid state physics and nanotechnology. Asymptotica formulas and algorythms of their reliability calculations with linear complexity are constructed. 
@article{DVMG_2008_8_2_a7,
     author = {G. Sh. Tsitsiashvili},
     title = {Analysis of ports reliabilities},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {223--228},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2008_8_2_a7/}
}
TY  - JOUR
AU  - G. Sh. Tsitsiashvili
TI  - Analysis of ports reliabilities
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2008
SP  - 223
EP  - 228
VL  - 8
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2008_8_2_a7/
LA  - ru
ID  - DVMG_2008_8_2_a7
ER  - 
%0 Journal Article
%A G. Sh. Tsitsiashvili
%T Analysis of ports reliabilities
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2008
%P 223-228
%V 8
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2008_8_2_a7/
%G ru
%F DVMG_2008_8_2_a7
G. Sh. Tsitsiashvili. Analysis of ports reliabilities. Dalʹnevostočnyj matematičeskij žurnal, Tome 8 (2008) no. 2, pp. 223-228. http://geodesic.mathdoc.fr/item/DVMG_2008_8_2_a7/