Presentation 2013-07-11
A Fictitious Delay Based Control of Selfish Routing in Multicommodity Networks
Keisuke NISHIDA, Takafumi KANAZAWA, Toshimitsu USHIO,
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Abstract(in English) Selfish routing in networks is selfish route selections of players who want to minimize their own data transmission latency. It is known that the equilibrium flow caused by the selfish routing is not always a Pareto optimal solution. In single-commodity networks, a control method based on a tax and a subsidy has been introduced and stabilization conditions of the minimum latency flow have also been provided. In this paper, we introduce a fictitious delay based on the tax and the subsidy, and propose a control method of the selfish routing in multicommodity networks. We also formulate the replicator dynamics as a model of the selfish routing with the fictitious delay and show stabilization conditions of a target flow. By simulation, we demonstrate stabilization of a Pareto optimal flow in a two-commodity network.
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Keyword(in English) selfish routing / replicator dynamics / multicommodity networks / fictitious delay
Paper # CAS2013-3,VLD2013-13,SIP2013-33,MSS2013-3
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Conference Date 2013/7/4(1days)
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Registration To Mathematical Systems Science and its applications(MSS)
Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) A Fictitious Delay Based Control of Selfish Routing in Multicommodity Networks
Sub Title (in English)
Keyword(1) selfish routing
Keyword(2) replicator dynamics
Keyword(3) multicommodity networks
Keyword(4) fictitious delay
1st Author's Name Keisuke NISHIDA
1st Author's Affiliation Graduate School of Engineering Science, Osaka University()
2nd Author's Name Takafumi KANAZAWA
2nd Author's Affiliation Graduate School of Engineering Science, Osaka University
3rd Author's Name Toshimitsu USHIO
3rd Author's Affiliation Graduate School of Engineering Science, Osaka University
Date 2013-07-11
Paper # CAS2013-3,VLD2013-13,SIP2013-33,MSS2013-3
Volume (vol) vol.113
Number (no) 121
Page pp.pp.-
#Pages 4
Date of Issue