Fluid queues with synchronized output

Onno Boxma; Offer Kella; Liron Ravner

doi:https://doi.org/10.1016/j.orl.2019.10.007

Fluid queues with synchronized output

Onno Boxma, Offer Kella, Liron Ravner

Department of Statistics

The Hebrew University of Jerusalem

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

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	American 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
State	Published - Nov 2019

Keywords

Capacity allocation
Coupled queues
Lévy driven queues
Non-cooperative games

All Science Journal Classification (ASJC) codes

Software
Management Science and Operations Research
Industrial and Manufacturing Engineering
Applied Mathematics

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https://doi.org/10.1016/j.orl.2019.10.007

Cite this

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title = "Fluid queues with synchronized output",

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

KW - Coupled queues

KW - Lévy driven queues

KW - Non-cooperative games

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EP - 635

JO - Operations Research Letters

JF - Operations Research Letters

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ER -

Fluid queues with synchronized output

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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