In this paper, we consider the Directed Rural Postman Problem with Turn Penalties (DRPP-TP). A solution is a tour that traverses all required arcs of the graph. The total cost of the tour is the sum of the lengths of the traversed arcs plus the penalties associated with the turns. One solution approach involves transforming the arc routing...
-
2019 (v1)PublicationUploaded on: March 27, 2023
-
2017 (v1)Publication
In this paper, we introduce carousel greedy, an enhanced greedy algorithm which seeks to overcome the traditional weaknesses of greedy approaches. We have applied carousel greedy to a variety of well-known problems in combinatorial optimization such as the minimum label spanning tree problem, the minimum vertex cover problem, the maximum...
Uploaded on: March 27, 2023 -
2017 (v1)Publication
In practice, it is often desirable for the routes of vehicles to be compact and separate. A set of routes is compact if the streets serviced by each route are geographically clustered, and separated if the routes overlap minimally. We consider the Min–Max K Windy Rural Postman Problem (MMKWRPP), in which the objective is to route a homogeneous...
Uploaded on: March 27, 2023 -
2020 (v1)Publication
This paper addresses the close-enough traveling salesman problem, a variant of the Euclidean traveling salesman problem, in which the traveler visits a node if it passes through the neighborhood set of that node. We apply an effective strategy to discretize the neighborhoods of the nodes and the carousel greedy algorithm to appropriately select...
Uploaded on: April 14, 2023 -
2017 (v1)Publication
The close-enough arc routing problem is a generalization of the classic arc routing problem and it has many interesting real-life applications. In this paper, we propose some techniques to reduce the size of the input graph and a new effective mixed integer programming formulation for the problem. Our experiments on directed graphs show the...
Uploaded on: April 14, 2023