Topological Properties and Methodology of Research of Complex Logistic Systems Efficiency

It is indicated that sets of elements of complex logistic system, their parameters, numerical values, properties and finally – structures of complex logistic system, are topological spaces between which properties of homeomorphism can exist, that allows to apply mathematical apparatus of the theory of topology at the solution of a number of tasks. The general principles of an estimation of efficiency of functioning of logistical complexes on the basis of modeling with the account of hierarchical construction and influence of the human factor are considered.