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Article title PROBABILISTIC ALGORITHMS FOR SCHEDULING IN RAIL SORTING STATIONS AND HUMP YARDS
Authors A.N. Shabelnikov
Section SECTION V. AUTOMATION AND CONTROL
Month, Year 07, 2015 @en
Index UDC 519.178
DOI
Abstract The class of scheduling problems relating to the definition of optimal scheduling of transport units and the order of their movement as an example of problems of formation, dissolution of trains in marshalling yards. We give formal setting of several variants of these tasks. From a mathematical point of view, the task scheduling related to the definition of optimal schedules, routes and order of traffic units classified as np-complete problems, for which well established metaheuristic algorithms based on ideas directed random search and allows to find optimal or close to These solutions np-complex tasks in a reasonable time. This paper presents a brief analysis of metaheuristic algorithms for solving problems of scheduling in rail transport, and the example of management tasks in the order of dissolution of the compositions hump is considered a new scheduling algorithm based on random search with restrictions. The article discusses the general metaheuristic approach to solving them. On the basis of this approach, we propose a new probabilistic local search algorithm with restrictions. The algorithm carries out a local search in the space of possible solutions using the procedures of intensification and diversification of the search based on an adaptive randomization parameter changing neighborhood. Results of numerical experiments showing the effectiveness of the algorithm. On the basis of numerical experiments we have found the optimal parameters of the algorithm: parameter randomization and the length of the list of prohibitions. At a certain test cases for particular cases of the problem in 93 % of the algorithm to find the best solution. For example, the maximum error of the rest of the algorithm does not exceed 5 %, which confirms the efficiency of the algorithm for solving a number of particular problems scheduling.

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Keywords Dispatching; metaheuristic algorithm; genetic algorithm; probabilistic search; local search with restrictions; local neighborhood of decision.
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