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- W4367724663 abstract "In this work, we investigate the stationary behaviour of the asymmetric join the shortest queue system with a single server and two infinite capacity orbit queues. Arriving jobs that find the server busy, are forwarded to the least loaded orbit queue, and in case of a tie, they choose an orbit randomly. Orbiting jobs retry to connect with the server at different retrial rates, i.e., heterogeneous orbit queues. Our system is described by a Markov modulated two-dimensional random walk. By exploiting its special structure, its invariant measure is obtained in terms of the invariant measure of a non-modulated two-dimensional random walk by applying the compensation method." @default.
- W4367724663 created "2023-05-04" @default.
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- W4367724663 date "2023-01-01" @default.
- W4367724663 modified "2023-10-01" @default.
- W4367724663 title "The Asymmetric Join the Shortest Orbit Queue: Analysis via a Dimensionality Reduction" @default.
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- W4367724663 doi "https://doi.org/10.1007/978-3-031-31234-2_11" @default.
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