MODEL OF OPTIMIZATION OF PASSENGER TRANSPORTATION IN A LARGE TRANSPORT HUBS AT THE USE OF RAIL BUSES
Journal Title: Збірник наукових праць Українського державного університету залізничного транспорту - Year 2017, Vol 169, Issue 3
Abstract
In this paper, a mathematical model for optimizing the activity of a large transport hub is proposed. The proposed model takes into account only passenger transportation. The goal of optimization is to determine: the number of rail buses assigned to the node; Optimal tariffs for transportation; Distribution of transport units in directions depending on the random demand for transportation. The possibility of attracting additional transport units in case of inadequate own transport is taken into account. The model takes into account the impact of competitive motor transport. The proposed mathematical model is based on a two-stage two-level stochastic programming problem with a quantile criterion. This formulation of the problem takes into account several known approaches to modeling complex economic relations. The decision-making process in this model has a two-stage structure. To simulate the two-stage structure of decision-making, a two-stage problem of stochastic linear programming is used. The strategy of the first stage is the number of rail buses assigned to the node, and tariffs for transportation in each direction. At the second stage, the rail buses are distributed along the directions in the transport hub, depending on the realization of the random demand for transportation. In this case, there is the possibility of attracting for an additional fee rail buses, not assigned to the node. Rail buses serve both the directions of the transport hub and the directions from other transport nodes to the node that is being considered. So, the strategy of the second stage is the number of own rail buses allocated for transportation in each direction, and the number of additional provided rail buses in each direction. The strategy of the first stage is determined for several planned periods. In each of the planned periods, the strategy of the second stage is selected anew, depending on the implementation of random demand and the chosen strategy of the first stage. To take into account the influence of the competitor, a two-level task is used. It assumes the participation of two players in the market: the leader (transport hub) and the follower (competitor in the form of vehicles). The follower chooses his strategy, knowing the strategy of the leader. The follower strategy is the prices for transportation in each direction and the corresponding volumes of traffic. The leader in choosing his optimal strategy takes into account the optimal strategy of the follower.
Authors and Affiliations
Olexandr Rozsokha, Ganna Shapoval, Andrii Bokov, Ruslan Shcherbynin
Keywords
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