Analytical modelling cargoes displacement in wagon and tension in fastening

The article deals with the conclusions of analytical modeling cargoes displacement relative wagon and tension in fastening on exposure to spatial system of forces

Mathematical modelling of fastening with cargoes displacement transverse to wagon

The article has considered the situation when the mechanical system “wagon – fastening – cargo“ is influenced by transverse and vertical forces. It has given the results of mathematical modeling construction of cargo in wagon running on the curve section of track. It has stated the conclusion of analytical formula of cargo displacement transverse to wagon and tension in fastening from exposure to transverse and vertical forces

COORDINATION OF LOCOMOTIVES TURNOVER AND SERVICING MODES

A coordinated calculation of two processes – locomotives turnover and servicing – is described. Locomotives turnover is calculated by optimization system Labyrinth and servicing by dynamic transportation problem. Service programs integrate these processes. A model of coordinated arrival of locomotives at servicing stations is proposed. The calculation consists of three interrelated steps. The first step is the calculation of the optimal locomotive turnover without considering servicing constraints. Service program SP-1 determines stations where forced stops will take place according to the necessity of servicing and forms the basic location of locomotives for further movement to servicing stations. The second step is the calculation of the optimal arrival of locomotives at servicing stations. Service program SP-2 provides location and release time of each locomotive after servicing. The third step is the calculation of a train schedule with the consideration for the location of stopped train sets and the appearance of locomotives after servicing. Servicing program SP-3 forms the united results

Optimization flow model for handling car flows at the marshalling yard

Mathematical modeling is widely used in studies of operational planning in railway transport. Mainly heuristic algorithms and simulation modeling is used in short-term planning at marshalling yards. There is an opportunity to improve the quality of planning using strict optimization models. The objective of the study was to find a way to optimize the multi-terminal transport flows of the complex structure by the example of operational planning for handling car flows at the marshalling yard. The process model was built on the basis of Mixed Integer Linear Program (MILP) method. The article provides the mathematical setting and describes results of calculations of the reference example. The LpSolve application package was used. The technological effect is estimated through checking the optimal solution on the simulation model