CONSTRUCTIVE MULTIPLAYER MODELS FOR ORDERING A SET OF SEQUENCES, TAKING INTO ACCOUNT THE COMPLEXITY OPERATIONS OF FORMATIONS

Abstract

Purpose. The aim of the article is to pose a new task for planning the processes of service systems functioning, as well as the development of constructive methods for modeling complex processes and systems by developing multilayer constructive model for ordering sets of inhomogeneous order sequences (MLCPM), which takes into account the complexity of formation operations. Methodology. The paper proposes the formulation of a new modeling problem, designed for ordering heterogeneous sequences of elements (orders). The studied results were used in logistics, technological, information and other processes. The main and essential difference of the proposed constructive multilayer models is the introduction of additional design structures into their composition, which provides the ability to set the complexity of the formation operations, as well as the possibility of additional analysis of the properties of objects that are formed during the adoption of decisions. Procedures of optimal control of the processes of finding decision are also being implemented by means of MLCRM. Findings. Using the example of the problem of optimal making- and breaking-up of multi-group trains, a new multilayer constructive model of optimal planning processes for ordering sets of heterogeneous order sequences has been developed. The article proposes a classification of features that determine the types of mathematical models of ordering processes. Originality. The article formulates a new scientific and applied problem for the planning of service systems, for the first time, the classification of signs of mathematical model classes of ordering processes of order sequences with the weight of operations was carried out. In the article, constructive-production models were developed, which was done by creating multilayer and parallel structural modeling structures for making- and breaking-up of trains. Practical value. The practical value of the results is determined by a wide range of possible applications of the proposed task for the planning of service systems. The proposed multilayer structural modeling structures allow improving the tools of constructive modeling. The constructed model of the processes of optimal making- and breaking-up of trains allows obtaining a new form of implementation of these technological processes of railway transport.