Fluid queues with synchronized output

Onno Boxma; Offer Kella; Liron Ravner

doi:10.1016/j.orl.2019.10.007

Fluid queues with synchronized output

Onno Boxma
, Offer Kella
, Liron Ravner (Corresponding author)

Stochastic Operations Research

Research output: Contribution to journal › Article › Academic › peer-review

1 Citation (Scopus)

96 Downloads (Pure)

Abstract

We present a model of parallel Lévy-driven queues that mix their output into a final product; whatever cannot be mixed is sold on the open market for a lower price. The queues incur holding and capacity costs and can choose their processing rates. We solve the ensuing centralized (system optimal) and decentralized (individual station optimal) profit optimization problems. In equilibrium the queues process work faster than desirable from a system point of view. Several model extensions are also discussed.

Original language	English
Pages (from-to)	629-635
Number of pages	7
Journal	Operations Research Letters
Volume	47
Issue number	6
DOIs	https://doi.org/10.1016/j.orl.2019.10.007
Publication status	Published - 1 Nov 2019

Funding

Offer Kella was supported in part by grant 1647/17 from the Israel Science Foundation and the Vigevani Chair in Statistics, Israel ; Onno Boxma and Liron Ravner were supported by the NWO, Netherlands Gravitation Project NETWORKS, Grant Number 024.002.003 .

Keywords

Capacity allocation
Coupled queues
Lévy driven queues
Non-cooperative games
Levy driven queues

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10.1016/j.orl.2019.10.007

published versionFinal published version, 374 KBLicence: TAVERNE

Cite this

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abstract = "We present a model of parallel L{\'e}vy-driven queues that mix their output into a final product; whatever cannot be mixed is sold on the open market for a lower price. The queues incur holding and capacity costs and can choose their processing rates. We solve the ensuing centralized (system optimal) and decentralized (individual station optimal) profit optimization problems. In equilibrium the queues process work faster than desirable from a system point of view. Several model extensions are also discussed.",

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AB - We present a model of parallel Lévy-driven queues that mix their output into a final product; whatever cannot be mixed is sold on the open market for a lower price. The queues incur holding and capacity costs and can choose their processing rates. We solve the ensuing centralized (system optimal) and decentralized (individual station optimal) profit optimization problems. In equilibrium the queues process work faster than desirable from a system point of view. Several model extensions are also discussed.

KW - Capacity allocation

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KW - Lévy driven queues

KW - Non-cooperative games

KW - Levy driven queues

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Fluid queues with synchronized output

Abstract

Funding

Keywords

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