Geodesic
Small work-load mode in a queueing system with random nonstationary intensity
Matematičeskie zametki, Tome 80 (2006) no. 3, pp. 339-349

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We consider a queueing system of $M_tR|GI|1|\infty$ type with doubly stochastic Poisson arrival stream. The case of a small work load in such a system is studied. We derive an asymptotic expansion in the work-load smallness parameter of the distribution function of the virtual waiting time.
Keywords: single-server queueing system, doubly stochastic Poisson arrival stream, virtual waiting time, periodic random process. 
@article{MZM_2006_80_3_a2,
     author = {E. E. Bashtova},
     title = {Small work-load mode in a queueing system with random nonstationary intensity},
     journal = {Matemati\v{c}eskie zametki},
     pages = {339--349},
     publisher = {mathdoc},
     volume = {80},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_3_a2/}
}
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E. E. Bashtova. Small work-load mode in a queueing system with random nonstationary intensity. Matematičeskie zametki, Tome 80 (2006) no. 3, pp. 339-349. http://geodesic.mathdoc.fr/item/MZM_2006_80_3_a2/