The Transient Blended Queue

B. Legros
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B. Legros: Métis Lab EM Normandie - EM Normandie - École de Management de Normandie = EM Normandie Business School

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Abstract: This study aims to determine the transient behavior of the blended queue. Priority customers arrive over time and benefit from a threshold reservation policy, while non-priority ones can be contacted at any time. We show how to compute the Laplace transforms of the transient probabilities. Using the uniformization technique, we prove some monotonicty properties of the expected number of customers in the queue, explaining why the optimal transient reservation threshold should be lower than the stationary one. \textcopyright 2022 Elsevier B.V.

Keywords: Blended queue; Laplace transform; Laplace transforms; Property; Queueing theory; Reservation; Reservation policy; Threshold; Transient behavior; Transient probabilities; Uniformization (search for similar items in EconPapers)
Date: 2022
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Published in Operations Research Letters, 2022, 50 (3), pp.287-294. ⟨10.1016/j.orl.2022.03.001⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-04452674

DOI: 10.1016/j.orl.2022.03.001

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