APPLICATION OF PARAMETRIC PROGRAMMING TO PLANNING THE OPERATION OF THE INLAND WATER TRANSPORT FLEET

Abstract

The article is devoted to the consideration of the problems of modeling the transport process and its management. An example of solving practical operational problems for the choice of the optimal work plan for the inland water transport fleet and optimal schemes for the movement of ships using optimization models and optimization methods based on the use of mathematical programming and its section - parametric programming, which is the basis for optimal planning of various economic processes, is given. The methodology of applying parametric programming as a planning method that most fully meets the economic conditions of the functioning of shipping companies and allows taking into account changes in the economic situation and fleet resources is considered. External and internal parameters of variation are formulated that characterize the conditions for the functioning of shipping companies in market conditions of management and affecting the navigation plan for using the fleet, including: the economic situation in the market of transport services, effective demand, the level of government orders, hydrometeorological conditions in the river basins. All this is expressed in the uncertainty of the level of transportation in terms of volumes and nomenclature, as well as in restrictions on transportation. The problems from the point of view of internal parameters that the managers of shipping companies face are identified: how much fleet to prepare for navigation by types and types of ships, that is, what should be the limitations in the economic and mathematical model for the resources of the fleet. To solve the navigation planning problem, it is proposed to use the parametric programming method, namely the approximate method of absolute priority, the choice of which is due to a simple computational procedure and obtaining a result close to optimal. An economic and mathematical model has been developed for the optimal use of fleet resources in the event of changes in the actual traffic volumes. A predictive and quantitative assessment of risks and the choice of a well-grounded management decision for the implementation of the production and financial plan of the fleet. It is concluded that the use of parametric programming models in the navigation planning of the inland water transport fleet increases the efficiency of operational methods of analysis and problem solving in the field of organizational management and improves the quality of managerial decisions obtained on the basis of models and methods.