On transient and stationary regimes for multi-channel networks with periodic inputs

Hanna Livinska and Eugene Lebedev

Applied Mathematics and Computation, 2018, vol. 319, issue C, 13-23

Abstract: In this paper, a multi-channel queuing network with a periodic input flow is considered. The multivariate service process is studied in transient and stationary regimes as the number of calls at network nodes. A special form of Jackson’s law is obtained. In heavy traffic regime, functional limit theorems of diffusion approximation type are formulated under the condition of convergence in the uniform topology. A limit non-Markov Gaussian process is constructed and its correlation characteristics are represented explicitly via the network parameters.

Keywords: Multi-channel queuing networks; Heavy traffic regime; Nonstationary Poisson input flow; Gaussian approximation (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:319:y:2018:i:c:p:13-23

DOI: 10.1016/j.amc.2017.01.017

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