The mixed capacitated general routing problem with turn penalties
Expert Systems with Applications: An International Journal
Synchronized arc routing for snow plowing operations
Computers and Operations Research
The capacitated general windy routing problem with turn penalties
Operations Research Letters
A new view on Rural Postman based on Eulerian Extension and Matching
Journal of Discrete Algorithms
The periodic capacitated arc routing problem with irregular services
Discrete Applied Mathematics
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Winter road maintenance planning involves a variety of decisions related to the routing of vehicles for spreading chemicals and abrasives, plowing roadways and sidewalks, loading snow into trucks, and transporting snow to disposal sites. In this paper, we present a model and two heuristic solution approaches based on mathematical optimization for the routing of vehicles for snow plowing operations in urban areas. Given a district and a single depot where a number of plows are based, the problem is to determine a set of routes, each performed by a single vehicle that starts and ends at the district's depot, such that all road segments are serviced while satisfying a set of operational constraints and minimizing a time objective. The formulation models general precedence relation constraints with no assumption on class connectivity, different service and deadhead speed possibilities, separate pass requirements for multilane road segments, class upgrading possibilities, and vehicle road segment dependencies. Several extensions, such as turn restrictions, load balancing constraints, and tandem service requirements, which are required in a real-life application, are also discussed. Two objectives are considered: A hierarchical objective and a makespan objective. The resulting model is based on a multicommodity network flow structure to impose the connectivity of the route performed by each vehicle. The two solution strategies were tested on data from the City of Dieppe, New Brunswick, Canada.