Extended mathematical model formulation of freight rail transportation optimal planning problem. Prohibition of double empty runs and consideration of customer ratings

Abstract

The paper presents extended versions of mathematical formulations of problems of managing a fleet of railway gondola cars. As a rule, scientific papers consider relatively simple statements of transport problems that do not take into account a number of features that arise when solving real problems. Within the framework of this work, two additional constraints are studied that may be relevant in solving practical problems. This is a restriction that takes into account quality of customers who form requests for cargo transportation, and a restriction on the prohibition of double empty runs. The quality of each customer is determined by using a given customer rating, in this case, new constraint in the transport problem is set through a weighted average rating of the entire transportation plan.