The N‐seasons S‐servers loss system

Antony Svoronos and Linda Green

Naval Research Logistics (NRL), 1987, vol. 34, issue 4, 579-591

Abstract: We consider a class of loss systems with exponential service times and a Poisson arrival process with a rate that varies periodically among N levels called seasons. For two special cases, we derive transient and steady‐state solutions and provide simple proofs that losses are minimized when the arrival rates for all seasons are equal. In the general case, we describe a straightforward procedure to derive the steady‐state probabilities. We also prove that when S=1, the server is generally busier during the high arrival rate seasons.

Date: 1987
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https://doi.org/10.1002/1520-6750(198708)34:43.0.CO;2-K

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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:34:y:1987:i:4:p:579-591

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