Designing Optimal Personalized Incentive for Traffic Routing using BIG
Hype algorithm
- URL: http://arxiv.org/abs/2304.12004v1
- Date: Mon, 24 Apr 2023 11:13:10 GMT
- Title: Designing Optimal Personalized Incentive for Traffic Routing using BIG
Hype algorithm
- Authors: Panagiotis D. Grontas, Carlo Cenedese, Marta Fochesato, Giuseppe
Belgioioso, John Lygeros, Florian D\"orfler
- Abstract summary: We study the problem of optimally routing plug-in electric and conventional fuel vehicles on a city level.
In our model, commuters selfishly aim to minimize a local cost that combines travel time, and the monetary cost of using city facilities, parking or service stations.
We formalize the problem of designing these monetary incentives optimally as a large-scale bilevel game.
- Score: 3.7597202216941783
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the problem of optimally routing plug-in electric and conventional
fuel vehicles on a city level. In our model, commuters selfishly aim to
minimize a local cost that combines travel time, from a fixed origin to a
desired destination, and the monetary cost of using city facilities, parking or
service stations. The traffic authority can influence the commuters' preferred
routing choice by means of personalized discounts on parking tickets and on the
energy price at service stations. We formalize the problem of designing these
monetary incentives optimally as a large-scale bilevel game, where constraints
arise at both levels due to the finite capacities of city facilities and
incentives budget. Then, we develop an efficient decentralized solution scheme
with convergence guarantees based on BIG Hype, a recently-proposed
hypergradient-based algorithm for hierarchical games. Finally, we validate our
model via numerical simulations over the Anaheim's network, and show that the
proposed approach produces sensible results in terms of traffic decongestion
and it is able to solve in minutes problems with more than 48000 variables and
110000 constraints.
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