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We consider a nonatomic selfish routing model with independent stochastic travel times, represented by mean and variance latency functions for each edge that depend on their flows.
Some theoretical aspects of road traffic research
J. G. Wardrop · 1952
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Studies in the Economics of Transportation
M. J. Beckmann, C. B. McGuire, and C. B. Winsten · 1956
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Graph Classes: A Survey
A. Brandstädt, V. B. Le, and J. P. Spinrad · 1987
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The price of anarchy is independent of the network topology
T. Roughgarden · 2003
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Selfish routing in capacitated networks
J. R. Correa, A. S. Schulz, and N. E. Stier-Moses · 2004
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Stochastic shortest paths via quasi-convex maximization
E. Nikolova, J. A. Kelner, M. Brand, and M. Mitzenmacher · 2006
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A geometric approach to the price of anarchy in nonatomic congestion games
J. R. Correa, A. S. Schulz, and N. E. Stier-Moses · 2008
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Approximation algorithms for reliable stochastic combinatorial optimization
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Wardrop equilibria with risk-averse users
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Stochastic congestion games with risk-averse players
H. Angelidakis, D. Fotakis, and T. Lianeas · 2013
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Risk sensitivity of price of anarchy under uncertainty
G. Piliouras, E. Nikolova, and J. S. Shamma · 2013
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Equilibrium routing under uncertainty
R. Cominetti · 2015
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Coefficient of variation
R. E. McAuliffe · 2015
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Playing the wrong game: Smoothness bounds for congestion games with behavioral biases
R. Meir and D. Parkes · 2015
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The burden of risk aversion in mean-risk selfish routing
E. Nikolova and N. E. Stier-Moses · 2015
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Local smoothness and the price of anarchy in splittable congestion games
T. Roughgarden and F. Schoppmann · 2015
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Additive consistency of risk measures and its application to risk-averse routing in networks
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The burden of risk aversion in mean-risk selfish routing
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A mean-risk model for the traffic assignment problem with stochastic travel times
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Optimal route planning under uncertainty
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