New facets and an enhanced branch-and-cut for the min-max K-vehicles windy rural postman problem

A branch-price-and-cut method for the min-max k-windy rural postman problem

Given the edges of a graph, the postman problem consists of determining for a vehicle (postman) a shortest route that traverses all edges at least once. Each edge can be traversed in either direction and, when an edge is traversed more than once, the vehicle is said to be deadheading after its first traversal. The rural postman problem is the same as the postman problem except that the edges ar...

Capacitated Windy Rural Postman Problem with Several Vehicles: A Hybrid Multi-Objective Simulated Annealing Algorithm

This paper presents the capacitated Windy Rural Postman Problem with several vehicles. For this problem, two objectives are considered. One of them is the minimization of the total cost of all vehicle routes expressed by the sum of the total traversing cost and another one is reduction of the maximum cost of vehicle route in order to find a set of equitable tours for the vehicles. Mathematical ...

A metaheuristic for the min-max windy rural postman problem with K vehicles

New results on the Windy Postman Problem

In this paper we study the Windy Postman Problem. This is a well known Arc Routing Problem which contains the Mixed Chinese Postman Problem as a special case. We present here a full description of the polyhedron associated to the Windy Postman Problem over graphs with up to 4 vertices and 10 edges. We introduce two new families of facet-inducing inequalities and we prove that these inequalities...

A branch-and-price algorithm for the windy rural postman problem

In this paper, we propose an exact solution method for the Windy Rural Postman Problem (WRPP). The motivation to study this problem comes from some real-life applications, such as garbage collecting in a predefined sector with hills, where the traversing or the servicing speed can change following the direction. We present a Dantzig-Wolfe decomposition and a branch-and-price algorithm to solve ...