The model of management of an economic object in a crisis is developed. Limitations and quality criteria are formed. General scheme of solving the
task of minimax program crisis management at an enterprise is detected. The algorithm of the solution of the problem of crisis management of an enterprise taking into account the risks is offered. The main method for solving the problem is
the method of detecting the reachable areas. Using this method, we work out the
scenario of optimal crisis management in the presence of risks. The proposed
algorithm allows to create effective numerous methods for implementing a computer simulation of solution of the problem of risk`s influencing. Simulated tools
allow the reducing the risks at information system of crisis management of an
enterprise. It opens the perspective of developing computer information systems
for support of making effective crisis management decisions in the conditions of
uncertainty and lack of information for increasing information security.