Geodesic
Asymptotic invariants in one channel queueing system $G|G|1|\infty$
Dalʹnevostočnyj matematičeskij žurnal, Tome 3 (2002) no. 1, pp. 52-57

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This paper is devoted to construction and investigation of invariant characteristics of stationary distribution tails of waiting time in queueing systems $M|M|1|\infty$, $G|G|1|\infty$ defined by subexponential distributions. Tails of these distributions are defined with accuracy of slowly varying multipliers. Stationary characteristics invariant to these multipliers are searched. Idea of invariant characteristics construction is based on classification of subexponential distributions suggested by Goldie and Kluppelberg and Karamata theorem and Embrechts-Veraverbeke formula. 
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     author = {G. Sh. Tsitsiashvili and N. V. Markova},
     title = {Asymptotic invariants in one channel queueing system $G|G|1|\infty$},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {52--57},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2002_3_1_a4/}
}
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G. Sh. Tsitsiashvili; N. V. Markova. Asymptotic invariants in one channel queueing system $G|G|1|\infty$. Dalʹnevostočnyj matematičeskij žurnal, Tome 3 (2002) no. 1, pp. 52-57. http://geodesic.mathdoc.fr/item/DVMG_2002_3_1_a4/