Determining the required number of base stations for winter road maintenance and their locations by integer linear programming
Abstract
Cold weather and precipitation that occur even in the winter can significantly threaten the normal functioning of road traffic. Therefore, winter road maintenance activities are significant and need to be planned. Some of the decisions related to winter road maintenance can include determining the number and location of base stations, determining the structure of the vehicle fleet, defining the amount of road-spreading material that needs to be procured, etc. This paper focused on determining the number and locations of base stations for winter road maintenance. This is an important problem of a strategic nature, which was solved in two steps in the paper. In the first step, the minimum required number of base stations is determined to cover the entire observed region. In the second step, specific locations of facilities are determined, to minimize the total distance that vehicles need to travel during road maintenance. In both steps, the solution is performed using integer linear programming. In the paper, the model was tested using the example of road maintenance in the Banat district. Excel Solver was used to solve integer linear programs.
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