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The dynamic version of the minimum cost multicommodity flow problem that generalizes the static minimum cost multicom-modity flow problem is formulated and studied. This dynamic problem is considered on directed networks with a set of commodities , time-varying capacities, fixed transit times on arcs, and a given time horizon. We assume that cost functions,… (More)

- Maria Fonoberova, Vladimir A. Fonoberov, Igor Mezic, Jadranka Mezic, P. Jeffrey Brantingham
- J. Artificial Societies and Social Simulation
- 2012

The dynamic maximum flow problem that generalizes the static maximum flow problem is formulated and studied. We consider the problem on a network with capacities depending on time, fixed transit times on the arcs, and a given time horizon. The corresponding algorithm to solve this problem is proposed and some details concerning its complexity are discussed.

- Maria Fonoberova, Vladimir A. Fonoberov, Igor Mezic
- Rel. Eng. & Sys. Safety
- 2013

A graph G is called F-saturated if it is F-free but the addition of any missing edge to G creates a copy of F. Let the saturation function sat(n, F) be the minimum number of edges that an F-saturated graph on n vertices can have. We determine this function asymptotically for every fixed complete partite graph F as n tends to infinity and give some… (More)

- Dmitrii Lozovanu, Maria Fonoberova
- Electronic Notes in Discrete Mathematics
- 2006

In this paper we study two basic problems related to dynamic flows: maximum multicommodity flow and the minimum cost multicommodity flow problems. We consider these problems on dynamic networks with time-varying capacities of edges. For minimum cost multicommodity flow problem we assume that cost functions, defined on edges, are nonlinear and depending on… (More)

The game-theoretic formulation of the multiobjective multi-commodity flow problem is considered. The dynamic version of this problem is studied and an algorithm for its solving, based on the concept of multiobjective games, is proposed.

- Marsha E. Bates, Jennifer F. Buckman, +6 authors Igor Mezić
- PloS one
- 2011

Human adaptability involves interconnected biological and psychological control processes that determine how successful we are in meeting internal and environmental challenges. Heart rate variability (HRV), the variability in consecutive R-wave to R-wave intervals (RRI) of the electrocardiogram, captures synergy between the brain and cardiovascular control… (More)

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