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The asymptotic behavior o queues with time-varying arrival rates

1984; Cambridge University Press; Volume: 21; Issue: 01 Linguagem: Inglês

10.1017/s0021900200024451

1475-6072

Daniel P. Heyman, Ward Whitt,

Probability and Risk Models

This paper discusses the asymptotic behavior of the M t /G/c queue having a Poisson arrival process with a general deterministic intensity. Since traditional equilibrium does not always exist, other notions of asymptotic stability are introduced and investigated. For the periodic case, limit theorems are proved complementing Harrison and Lemoine (1977) and Lemoine (1981).