Models for managing hydraulic projects in floodplain areas, considering the activity of economic entities

The paper presents the problem of managing hydraulic multi- projects, taking into account the activity of economic entities (the “Center- Agents” model). The multi-project is interpreted as an installation of a flood dams’ system in floodplain areas. The difference in the environmental and economic effect values for different variants of the multi-project made it possible to study the problem of synthesizing the optimal mechanism for its co-financing. For this purpose two mathematical models of hierarchical games Γ2(Γ0) and Γ1(Γ0) were constructed and studied. We propose two algorithms using the “threat- counterthreat” method to numerically search for Nash equilibria in the agent game Γ0. The algorithms are illustrated using model examples. In the case of the Center’s multi-project effect additivity to the effects of its constituent simple projects, the search for a Center’s guaranteeing strategy is reduced to solving an integer programming problem. We studied an example of a non-additive dependence modeling a multi-project for installing a flood dams’ system in the northern part of the Volga-Akhtuba floodplain. The parametric dependence “cost-effect” that implements the Center’s guaranteeing strategy was found by a specially developed heuristic algorithm “donors-acceptors”. The Center’s objective function was calculated using digital maps of flood inundations, constructed with a help of the EcoGIS-Simulation software package. The connection between the digital terrain model and the optimization algorithm was carried out using the developed software application. The conducted research shows the potential practical applicability of the proposed model and developed algorithms for finding solutions to optimization problems for the hydraulic project implementation in floodplain areas.