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Mathematical modeling is widely spread among studies dedicated to operational planning on the railway transport. In short-term planning of marshalling station operation heuristic algorithms and simulation modeling are mainly used. It is possible to improve the quality of planning on the basis of models of strict optimization. The authors have created both a mathematical and a computer model of car traffic processing at a marshalling station with the use of mixed integer linear programming. For the realization of the computer model the authors have used a package of applied programs. The paper considers verification of the model. This procedure is necessary for revealing possible technical and content mistakes in a computer realization of a mathematical model. The authors have made the emphasis on revealing content mistakes in marshalling station operation. For the verification of the model the authors have used a logic approach.

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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.