Assignment and Control of Two-Tiered Vehicle Traffic

Gustav Nilsson; Piyush Grover; Uros Kalabic

doi:10.1109/CDC.2018.8619411

Assignment and Control of Two-Tiered Vehicle Traffic

Gustav Nilsson, Piyush Grover, Uros Kalabic

Mitsubishi Electric Research Laboratory

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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Abstract

This work considers the assignment of vehicle traffic consisting of both individual, opportunistic vehicles and a cooperative fleet of vehicles. The first set of vehicles seek a user-optimal policy and the second set seeks a fleet-optimal policy. We provide explicit sufficient conditions for the existence and uniqueness of a Nash equilibrium at which both policies are satisfied.
We also propose two different algorithms to determine the equilibrium, one centralized and one decentralized. Furthermore, we present a control scheme to attain such an equilibrium in a dynamical network flow. An example is considered showing the workings of our scheme and numerical results are presented.

Original language	English
Title of host publication	57th IEEE Conference on Decision and Control
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Pages	1023-1028
Number of pages	6
ISBN (Electronic)	978-1-5386-1395-5
DOIs	https://doi.org/10.1109/CDC.2018.8619411
Publication status	Published - 2018
Event	57th IEEE Conference on Decision and Control - Fontainebleau, Miami Beach, United States Duration: 2018 Dec 17 → 2018 Dec 19 https://cdc2018.ieeecss.org/

Conference

Conference	57th IEEE Conference on Decision and Control
Country/Territory	United States
City	Miami Beach
Period	2018/12/17 → 2018/12/19
Internet address	https://cdc2018.ieeecss.org/

Subject classification (UKÄ)

Control Engineering

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10.1109/CDC.2018.8619411

CDC18Accepted author manuscript, 356 KB

Cite this

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title = "Assignment and Control of Two-Tiered Vehicle Traffic",

abstract = "This work considers the assignment of vehicle traffic consisting of both individual, opportunistic vehicles and a cooperative fleet of vehicles. The first set of vehicles seek a user-optimal policy and the second set seeks a fleet-optimal policy. We provide explicit sufficient conditions for the existence and uniqueness of a Nash equilibrium at which both policies are satisfied. We also propose two different algorithms to determine the equilibrium, one centralized and one decentralized. Furthermore, we present a control scheme to attain such an equilibrium in a dynamical network flow. An example is considered showing the workings of our scheme and numerical results are presented.",

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AU - Nilsson, Gustav

AU - Grover, Piyush

AU - Kalabic, Uros

PY - 2018

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N2 - This work considers the assignment of vehicle traffic consisting of both individual, opportunistic vehicles and a cooperative fleet of vehicles. The first set of vehicles seek a user-optimal policy and the second set seeks a fleet-optimal policy. We provide explicit sufficient conditions for the existence and uniqueness of a Nash equilibrium at which both policies are satisfied. We also propose two different algorithms to determine the equilibrium, one centralized and one decentralized. Furthermore, we present a control scheme to attain such an equilibrium in a dynamical network flow. An example is considered showing the workings of our scheme and numerical results are presented.

AB - This work considers the assignment of vehicle traffic consisting of both individual, opportunistic vehicles and a cooperative fleet of vehicles. The first set of vehicles seek a user-optimal policy and the second set seeks a fleet-optimal policy. We provide explicit sufficient conditions for the existence and uniqueness of a Nash equilibrium at which both policies are satisfied. We also propose two different algorithms to determine the equilibrium, one centralized and one decentralized. Furthermore, we present a control scheme to attain such an equilibrium in a dynamical network flow. An example is considered showing the workings of our scheme and numerical results are presented.

UR - https://www.scopus.com/pages/publications/85062172365

U2 - 10.1109/CDC.2018.8619411

DO - 10.1109/CDC.2018.8619411

M3 - Paper in conference proceeding

SP - 1023

EP - 1028

BT - 57th IEEE Conference on Decision and Control

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - 57th IEEE Conference on Decision and Control

Y2 - 17 December 2018 through 19 December 2018

ER -

Assignment and Control of Two-Tiered Vehicle Traffic

Abstract

Conference

Subject classification (UKÄ)

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