Diffusion Approximation of Loss Queueing Systems

Nikolaos Limnios () and Bei Wu ()
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Nikolaos Limnios: Université de Technologie de Compiègne, Sorbonne University Alliance
Bei Wu: School of Management, Northwestern Polytechnical University

Methodology and Computing in Applied Probability, 2025, vol. 27, issue 1, 1-5

Abstract: Abstract A queueing loss system with N independent sources, without buffer, and n servers, is considered here ( $$N>n$$ N > n ). Arrivals and service times are Poisson and exponentially distributed, respectively. We present averaging and diffusion approximation results as the number of sources and service facilities becomes together large.

Keywords: Queuing loss system; Averaging; Diffusion approximation; Normal deviation; Markov process; 60K25; 60J27; 60J60 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s11009-025-10141-1

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