Purpose: To obtain analytical dependencies for the optimal allocation of resources of various type recovery trains with the purpose to restore in the shortest possible timeframes of railway facilities destroyed as a result of regional emergences. Methods: A heuristic method of optimal resource allocation of various type recovery trains through railway facilities, destroyed as a result of a regional emergences, is applied. Proof of the optimality of the proposed heuristic method is given. Results: Within the proposed method frames, new analytical dependencies are derived for the distribution of resources of recovery trains of various types through railway facilities destroyed as a result of regional emergences. Mathematical formulation, based on the formulation of non-linear model of operations research theory, as well as solution algorithm of the task for the distribution of resources of recovery trains of various types through railway facilities destroyed as a result of emergences of a regional scale are given. Practical significance: On the basis of the considered dependencies, it is possible to increase the efficiency of calculation operativeness allowing to embody reasonable allocation of recovery trains of various types for the restoration of railway facilities destroyed as a result of regional emergences. The results of the study can be applied to the creation of informational-predicted systems that promptly implement the proposed analytical dependencies for more efficient restoration of railway facilities destroyed as a result of emergences of a regional importance.

Objective: To obtain analytic dependences for profile cubage volume calculation of subgrades (side hill fills), ditch cuts (side hill cuts), as well as borrow pits, soil banks, drainage ditches and other structures. Methods: Integral calculus and stereometry was applied. Results: New analytic dependencies for profile cubage volume calculation of subgrades (side hill fills), ditch cuts (side hill cuts), borrow pits, soil banks and drainage ditches were deducted. Relative errors of calculating the given profile cubage volume were determined in comparison with conventional methods for calculating the values in question. Mathematical demonstration of the given analytic dependencies, as well as the analysis of the latter was carried out. Practical importance: Computational accuracy of profile cubage volume of subgrades (side hill fills), ditch cuts (side hill cuts), borrow pits, soil banks and drainage ditches may be improved based on the examined dependencies. Research results may be applied in the design of information systems. The latter promptly implement the introduced analytic dependencies of more effective calculation indices and test planning of large earthwork volumes.

Purpose: One of the possible solutions to the problem of congestion of the road network in conditions of a high level of motorization of cities is considered. Methods: The concept of the service “Mobility as a service” as one of the progressive methods of urban traffic management is described. The technologies that allow this service to work, while increasing the efficiency of the use of vehicles, are considered. Results: The analysis of carsharing, kicksharing and bikesharing services as a “first and last mile” transport system was carried out. Practical significance: The solution to this problem can be the integration of all existing transport systems into a single system that can have a greater impact on the efficiency of mobility of urban users.

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Objective: To develop a methodology for minimizing costs, associated with additional investment attraction in the course of monitoring of accomplishment process and updating of digitalization program (Digitalization Programs DP). To consider the need for a strict quantitative justification and coordination of digitalization activities at various hierarchical levels of the projects. To show the necessity to solve tasks on calculating parameters of situational response to potential violations of DP accomplishment progress, to work out algorithms to determine rational relation between technical-technological procedures and control procedures. Methods: For to achieve the stated goals, stochastic dynamic programming method is applied; developed algorithms are based on the hypothesis on the possibility of distinguishing a law of DP stage duration distribution. Results: The system of algorithms, allowing to gradually select rational managing impacts while synchronization of usage of being additionally involved investments, combined with control procedures, is developed and tested. The methodology requires actualization due to inevitable changes in databases, containing information on links between randomized entities of next being predicted corrective measures, their cost and the assessment of being liquidated delay. To increase the calculation result reliability in parallel to realization of the developed algorithms, it is necessary to embody marketing research and efficiency model evaluation of various DP reboot options. Practical significance: An approach is proposed to provide for guaranteed implementation of transport system DPs within the given timeframes with minimal further investment. The developed algorithms make it possible to define not “deterministic” scheme of program reconfiguration but to carry out digitalization process situational management consistently. The developed algorithms can be recommended for practical use in the course of administrative-scientific accompaniment of the implementation of DP component project realization.