The capacitated arc routing problem is an important NP-hard with numerous real-world applications. uncertainties refers to those instances where there are in decision variables, objective functions and/or constraints. captures situations much better than a static because few problems and certain. Uncertainties the pose new research challenges. Algorithms that work well for certain may not on ve...

In the capacitated arc routing problem with multiple centers (M-CARP) the objective is to ®nd routes starting from the given depots or centers such that each required arc is served, capacity (and usually additional) constraints are satis®ed and total travel cost is minimized. In this paper we consider a heuristic transformation of the M-CARP into a multiple center capacitated minimum spanning t...

This paper presents an evolutionary algorithm for the fixed-charge multicommodity network design problem (MCNDP), which concerns routing multiple commodities from origins to destinations by designing a network through selecting arcs, with an objective of minimizing the fixed costs of the selected arcs plus the variable costs of the flows on each arc. The proposed algorithm evolves a pool of sol...

This paper tackles a new problem called Stochastic Capacitated Arc Routing Problem (SCARP), derived from the CARP by randomizing the demands. It is raised by applications like urban waste collection, in which the amount on each arc is a random variable. In that case, the trips computed by any algorithm based on estimated demands can be deeply affected on the field, due to additional moves to th...

The aim of directed Eulerian extension problems is to make a given directed, possibly arc-weighted, (multi-)graph Eulerian by adding a minimum-cost set of arcs. These problems have natural applications in scheduling and arc routing and are closely related to the Chinese Postman and Rural Postman problems. Our main result is to show that the NP-hard WeightedMultigraph Eulerian Extension problem ...

The pollution routing problem (PRP) aims to determine a set of routes and speed over each leg of the routes simultaneously to minimize the total operational and environmental costs. A common approach to solve the PRP exactly is through speed discretization, i.e., assuming that speed over each arc is chosen from a prescribed set of values. In this paper, we keep speed as a continuous decision va...

The Shortest Path with Recourse Problem involves finding the shortest expected-length paths in a directed network each of whose arcs have stochastic traversal lengths (or delays) that become known only upon arrival at the tail of that arc. The traveler starts at a given source node, and makes routing decisions at each node in such a way that the expected distance to a given sink node is minimiz...

Evacuation, the process of moving people out of potentially dangerous areas, is a key response to many threats. Planning such an evacuation is therefore important, especially in large-scale emergencies, where routing becomes non-trivial. This paper deals with the optimization and simulation of the evacuation process. We draw our data from the study of the city of Padang in Indonesia, with its h...

A significant area of research in the field of hybrid communications is the Network Design Problem (NDP) [1]. The NDP is an NP complete problem [1] that focuses on identifying the optimal network topology for transmitting commodities between nodes, under constraints such as bandwidth, limited compatible directed channels, and link and commodity costs. The NDP focuses on designing a flexible net...