On the $M_t/M_t/K_t+M_t$ queue in heavy traffic

Anatolii A. Puhalskii

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arXiv · 0807.4621

On the $M_t/M_t/K_t+M_t$ queue in heavy traffic

Anatolii A. Puhalskii

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Abstract

The focus of this paper is on the asymptotics of large-time numbers of customers in time-periodic Markovian many-server queues with customer abandonment in heavy traffic. Limit theorems are obtained for the periodic number-of-customers processes under the fluid and diffusion scalings. Other results concern limits for general time-dependent queues and for time-homogeneous queues in steady state.

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BibTeX RIS

Anatolii A. Puhalskii. 2008-07-29. On the $M_t/M_t/K_t+M_t$ queue in heavy traffic. https://arxiv.org/abs/0807.4621

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