Abstract

Purpose. The article presents the mathematical models development of intellectual technology for the multi-group railway trains formation, as well as the transition to its generalization and the mathematical models formation of the organizing inhomogeneous order sequences logistical task. Method. The article proposes an approach to modeling the processes of multi-group trains disbandment-formation, as well as constructive processes of ordering sets of heterogeneous order sequences by means of the oriented graphs theory. There has been formed the improved structure of intelligent information technology for ordering order sequences, which uses knowledge base management procedures. Results. The article proposes new formulations of problems of ordering nondeterministic sequences, which differ due to the different complexity ("weight") of design operations. There is proposed A method for forming models of ordering processes based on the theory of oriented and weighted graphs. There is proposed To implement graphical models of ordering the sequences of elements, the use of parallel synchronous algorithms for scheduling flows in networks . There have been developed specialized metrics for ordering sequences, the use of which has allowed to implement the task of ordering sequences "by weight", as well as to build effective procedures for finding patterns in the knowledge bases of the processes of disbandment-formation of multi-group trains. Scientific novelty. For the first time, the task of ordering heterogeneous order sequences, as well as the task of dismantling and forming multi-group formations are presented by models on graphs - models of critical path and maximum flows of minimum cost. The indicators for determining the degree of ordering of sequences, as well as there have been improved the procedure for searching for analogues in knowledge bases. Practical significance. Representation of processes of ordering heterogeneous orders sequences and tasks of multi-group structures dismantling-formation by classical models of optimal planning on the basis of the graph theories allows to increase efficiency, performance and reliability of the corresponding planning processes. Intelligent information technology through the use of knowledge bases will reduce the cost of planning the multi-group railway trains disbandment and formation processes.

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