In this seminar, Tim Oosterwijk will give a talk about Bicriteria Nash Flows over Time.
Flows over time are a natural way to incorporate flow dynam ics that arise in various applications such as traffic networks. In t his talk we introduce a natural variant of the deterministic fluid qu euing model in which users aim to minimize their costs subject to arr ival at their destination before a pre-specified deadline. We determi ne the existence and the structure of Nash flows over time and fully characterize the price of anarchy for this model. The price of anarch y measures the ratio of the quality of the equilibrium and the qualit y of the optimum flow, where we evaluate the quality using two differ ent natural performance measures: the throughput for a given deadline and the makespan for a given amount of flow. While it turns out that both prices of anarchy can be unbounded in general, we provide tight bounds for the important subclass of parallel path graphs.
DESCRIPTION: In this seminar, Tim Oosterwijk will give a talk about Bi criteria Nash Flows over Time. Flows over time are a natural way to i ncorporate flow dynamics that arise in various applications such as t raffic networks. In this talk we introduce a natural variant of the d eterministic fluid queuing model in which users aim to minimize their costs subject to arrival at their destination before a pre-specified deadline. We determine the existence and the structure of Nash flows over time and fully characterize the price of anarchy for this model . The price of anarchy measures the ratio of the quality of the equil ibrium and the quality of the optimum flow, where we evaluate the qua lity using two different natural performance measures: the throughput for a given deadline and the makespan for a given amount of flow. Wh ile it turns out that both prices of anarchy can be unbounded in gene ral, we provide tight bounds for the important subclass of parallel p ath graphs. END:VEVENT END:VCALENDAR