Sensitivity of wardrop equilibria: revisited

For single-commodity networks, the increase of the price of anarchy is bounded by a factor of ( 1 + ε ) p from above, when the travel demand is increased by a factor of 1 + ε and the latency functions are polynomials of degree at most p . We show that the same upper bound holds for multi-commodity n...

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Veröffentlicht in:Optimization letters 2020-04, Vol.14 (3), p.781-796
Hauptverfasser: Takalloo, Mahdi, Kwon, Changhyun
Format: Artikel
Sprache:eng
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Zusammenfassung:For single-commodity networks, the increase of the price of anarchy is bounded by a factor of ( 1 + ε ) p from above, when the travel demand is increased by a factor of 1 + ε and the latency functions are polynomials of degree at most p . We show that the same upper bound holds for multi-commodity networks and provide a lower bound as well.
ISSN:1862-4472
1862-4480
DOI:10.1007/s11590-020-01552-9